* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* (* (* -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 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2)
* * * * [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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) 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]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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 U)) into (* -1 U)
* [misc]taylor:  Taking taylor expansion of (* -1 U) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0
* [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]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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* 1/2 U))) into (/ 1 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 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 (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ 1/2 K)))) 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) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 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 (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ -1/2 K)))) 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) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in (K J) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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)) (* J -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 (* 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)) (* J -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 (* 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]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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]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 -2 into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]taylor:  Taking taylor expansion of (* 1/4 J) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of 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 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 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [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 1/384 into 1/384
* [misc]backup-simplify:  Simplify (* 1/384 (* -2 J)) into (* -1/192 J)
* [misc]taylor:  Taking taylor expansion of (* -1/192 J) in J
* [misc]taylor:  Taking taylor expansion of -1/192 in J
* [misc]backup-simplify:  Simplify -1/192 into -1/192
* [misc]taylor:  Taking 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 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 (+ (* 1/4 (* J (pow K 2))) (* -2 J)) into (- (* 1/4 (* (pow K 2) J)) (* 2 J))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in (K J) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 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)) (* (/ 1 J) -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 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) 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)) (* (/ 1 J) -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 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) 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]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 (* (/ 1 J) (/ 0 J)) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in (K J) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 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)) (* (/ 1 (- J)) -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 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) 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)) (* (/ 1 (- J)) -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 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) 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]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ (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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 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 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)) 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 0 into 0
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) 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 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 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]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 (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) 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]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 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 (+ (/ 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 -1/8 into -1/8
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* (/ 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)) 2) (cos (/ (/ 1 K) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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]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 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 J) (/ 1 (/ 1 U)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ -1/2 (cos (/ 1/2 K))) into (/ -1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ -1/2 (cos (/ 1/2 K))) into (/ -1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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]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 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 (- J)) (/ 1 (/ 1 (- U))))) into (* -1/2 (/ U (* (cos (* -1/2 K)) J)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 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) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 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 0 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 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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) 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 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 (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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 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]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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (cos (* 1/2 K)) 2))) (/ 0 (cos (* 1/2 K)))) 2) 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 (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]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 (* 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (cos (/ 1/2 K))) (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 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 J) (/ 1 (/ 1 U)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 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 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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 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]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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 (* 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (cos (/ 1/2 K))) (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 0 into 0
* [misc]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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 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 (- J)) (/ 1 (/ 1 (- U))))) into (* 1/2 (/ U (* (cos (* -1/2 K)) J)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (log1p (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (expm1 (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 4 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 5 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))>
* * * * [misc]progress:  [ 6 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 7 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 8 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 9 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 10 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 11 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 12 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 13 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 14 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 15 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 16 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* * * * [misc]progress:  [ 17 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 18 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 19 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 20 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))>
* * * * [misc]progress:  [ 21 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log1p (expm1 (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (expm1 (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 22 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (expm1 (log1p (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (log1p (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (log1p (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 23 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (cos (/ K 2)) (* J -2)) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* J -2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* * * * [misc]progress:  [ 24 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (cos (/ K 2)) (* J -2)) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 25 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (log (cos (/ K 2))) (log (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (+ (log (cos (/ K 2))) (log (* J -2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (+ (log (cos (/ K 2))) (log (* J -2)))
* [exit]simplify:  Simplified to (+ (log (cos (/ K 2))) (log (* J -2)))
* * * * [misc]progress:  [ 26 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (log (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (log (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* [exit]simplify:  Simplified to (log (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 27 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log (exp (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (exp (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (exp (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (exp (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 28 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))
* * * * [misc]progress:  [ 29 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (cos (/ K 2)) (* J -2))) (cbrt (* (cos (/ K 2)) (* J -2)))) (cbrt (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (cos (/ K 2)) (* J -2))) (cbrt (* (cos (/ K 2)) (* J -2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 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 (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 30 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (204 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:  [ 31 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (* (cos (/ K 2)) (* J -2))) (sqrt (* (cos (/ K 2)) (* J -2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (sqrt (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (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 (* (cos (/ K 2)) (* J -2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 32 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (cos (/ K 2)) (* J -2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 33 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) J) -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) J)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* J (cos (/ K 2)))
* [exit]simplify:  Simplified to (* J (cos (/ K 2)))
* * * * [misc]progress:  [ 34 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* J -2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (cos (/ K 2))) (* J -2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos (/ K 2))) (* J -2))
* [exit]simplify:  Simplified to (* (cbrt (cos (/ K 2))) (* J -2))
* * * * [misc]progress:  [ 35 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* J -2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (sqrt (cos (/ K 2))) (* J -2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos (/ K 2))) (* J -2))
* [exit]simplify:  Simplified to (* (sqrt (cos (/ K 2))) (* J -2))
* * * * [misc]progress:  [ 36 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (cos (/ K 2)) (* J -2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* J -2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* * * * [misc]progress:  [ 37 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 38 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (log1p (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 39 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (expm1 (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 40 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 1))))>
* * * * [misc]progress:  [ 41 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (exp (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))
* [exit]simplify:  Simplified to (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))
* * * * [misc]progress:  [ 42 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (exp (log (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (/ (/ (/ U 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 (59 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 43 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (log (exp (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 44 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (cbrt (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 45 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 46 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (cbrt (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 47 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 48 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (- (/ (/ U J) 2)) (- (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (- (/ (/ U J) 2))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (/ (- U) (* 2 J))
* [exit]simplify:  Simplified to (/ (- U) (* 2 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:  [ 49 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))) (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))) (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 50 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (sqrt (cos (/ K 2)))) (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (/ (sqrt (cos (/ K 2))) (cbrt (/ (/ U J) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (/ (sqrt (cos (/ K 2))) (cbrt (/ (/ U J) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 51 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 1) (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2)))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))
* * * * [misc]progress:  [ 52 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 53 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2)))) (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 54 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (sqrt (/ (/ U J) 2)) 1) (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ U J) 2))
* [exit]simplify:  Simplified to (sqrt (/ (/ U J) 2))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))
* * * * [misc]progress:  [ 55 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ (/ U J) 2) (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) 2) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 56 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ 1 (sqrt (cos (/ K 2)))) (/ (/ (/ U J) 2) (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) 2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 57 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ 1 1) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cos (/ K 2)))
* * * * [misc]progress:  [ 58 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ 1 2) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 2) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 59 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (/ U J) (sqrt (cos (/ K 2)))) (/ (/ 1 2) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U J) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ U J) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U J) (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ 1 2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 60 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (/ U J) 1) (/ (/ 1 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ U J) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (/ U J)
* [exit]simplify:  Simplified to (/ U J)
* [enter]simplify:  Simplifying (/ (/ 1 2) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 2) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ 1 2) (cos (/ K 2)))
* * * * [misc]progress:  [ 61 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 62 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* (/ (/ U J) 2) (/ 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:  [ 63 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ 1 (/ (cos (/ K 2)) (/ (/ U J) 2))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* * * * [misc]progress:  [ 64 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ (/ U J) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (/ U J) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2)))))
* * * * [misc]progress:  [ 65 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 66 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ (/ U J) 2) 1) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (/ (/ (/ U J) 2) 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)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ U J) 2)
* [exit]simplify:  Simplified to (/ (/ U J) 2)
* * * * [misc]progress:  [ 67 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (/ (cos (/ K 2)) (cbrt (/ (/ U J) 2)))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U J) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2))))
* * * * [misc]progress:  [ 68 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (sqrt (/ (/ U J) 2)) (/ (cos (/ K 2)) (sqrt (/ (/ U J) 2)))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U J) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2))))
* * * * [misc]progress:  [ 69 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ 1 (/ (cos (/ K 2)) (/ (/ U J) 2))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* * * * [misc]progress:  [ 70 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ U J) (/ (cos (/ K 2)) (/ 1 2))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ 1 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* * * * [misc]progress:  [ 71 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) 2)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* * * * [misc]progress:  [ 72 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (log1p (expm1 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 73 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (expm1 (log1p (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 74 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (451 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))) 1)
* [exit]simplify:  Simplified to (fma (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))) 1)
* * * * [misc]progress:  [ 75 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))>
* * * * [misc]progress:  [ 76 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (exp (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 77 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (log (exp (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 78 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 79 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (cbrt (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 80 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 81 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (* 1 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 82 / 93 ] 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:  [ 83 / 93 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 84 / 93 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (* J 2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 85 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* * [misc]simplify:  iters left: 1 (443 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (fma K (* K 1/4) (- 2)) J))
* * * * [misc]progress:  [ 86 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (* K 1/2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 87 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* 2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* 2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (* (* (cos (* K 1/2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 88 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -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 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (fma (* (/ U J) 1/16) (* K K) (* (/ U J) 1/2))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 89 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 90 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* -1/2 (/ U (* (cos (* -1/2 K)) J))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* -1/2 (/ U (* (cos (* -1/2 K)) J)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ -1/2 J) U) (cos (* -1/2 K)))))
* * * * [misc]progress:  [ 91 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) 1))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 92 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (387 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* -2 1/2) (/ J U)) (cos (* K 1/2))) (* J (cos (/ K 2))))
* * * * [misc]progress:  [ 93 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (* 1/2 (/ U (* (cos (* -1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* 1/2 (/ U (* (cos (* -1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ K 2)) (* (* -2 J) (/ 1/2 J))) (/ U (cos (* K -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) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (J U K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) 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]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 into -2
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 (/ U (cos (* 1/2 K))))) into (* -1 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ U (cos (* 1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ U (cos (* 1/2 K))) 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 (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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 1 into 1
* [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 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 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) 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]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 (cos (* 1/2 K)))) into (/ -1 (cos (* 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -1 in K
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (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 0 into 0
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 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 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 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -2 (/ (cos (* 1/2 K)) U)) into (* -2 (/ (cos (* 1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (* -2 (/ (cos (* 1/2 K)) U)) 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)) U) in U
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 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 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (+ (/ 0 (cos (* 1/2 K))) (* (/ 1 (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 K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 U) into (* -1 U)
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (J U K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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]taylor:  Taking taylor expansion of -2 in K
* [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 (* (/ 1/2 (* 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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ -1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow (cos (/ 1/2 K)) 2) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ -1/4 (pow (cos (/ 1/2 K)) 2)) into (/ -1/4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 (pow (cos (/ 1/2 K)) 2)) (* (/ -1/4 (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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) 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 (* (/ 1 K) (/ 0 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 (+ (/ 0 (cos (/ 1/2 K))) (* (/ 1/2 (* 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 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 K) (/ 0 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 (+ (/ 0 (cos (/ 1/2 K))) (* (/ 1/2 (* U (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 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 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) 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 (pow (cos (/ 1/2 K)) 2)) (* (/ -1/4 (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]backup-simplify:  Simplify (* -2 (/ 1 (/ 1 J))) into (* -2 J)
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (J U K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 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 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]taylor:  Taking taylor expansion of 2 in K
* [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 (* (/ -1/2 (* 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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow (cos (/ 1/2 K)) 2) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 (pow (cos (/ 1/2 K)) 2)) (* (/ 1/4 (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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [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 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 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 (cos (/ 1/2 K))) (* (/ -1/2 (* 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 -1 into -1
* [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 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 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 (cos (/ 1/2 K))) (* (/ -1/2 (* U (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 -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 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 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) 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 (pow (cos (/ 1/2 K)) 2)) (* (/ 1/4 (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]backup-simplify:  Simplify (* 2 (/ 1 (/ 1 (- J)))) into (* -2 J)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]backup-simplify:  Simplify (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) 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]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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 U)) into (* -1 U)
* [misc]taylor:  Taking taylor expansion of (* -1 U) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* -1/8 (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0
* [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]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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* 1/2 U))) into (/ 1 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 (* (cos (/ (/ 1 K) 2)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (cos (/ (/ 1 K) 2)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 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 (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ 1/2 K)))) 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) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (cos (/ (/ 1 (- K)) 2)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J)))) into (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 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 (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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)) (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ -1/2 K)))) 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) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 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 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 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 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)) 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 0 into 0
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) 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 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 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]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 (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) 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]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 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 (+ (/ 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 -1/8 into -1/8
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* (/ 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)) 2) (cos (/ (/ 1 K) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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]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 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 J) (/ 1 (/ 1 U)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ -1/2 (cos (/ 1/2 K))) into (/ -1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ -1/2 (cos (/ 1/2 K))) into (/ -1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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]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 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 (- J)) (/ 1 (/ 1 (- U))))) into (* -1/2 (/ U (* (cos (* -1/2 K)) J)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 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) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 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 0 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 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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) 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 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 (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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 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]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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (cos (* 1/2 K)) 2))) (/ 0 (cos (* 1/2 K)))) 2) 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 (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]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 (* 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (cos (/ 1/2 K))) (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 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 J) (/ 1 (/ 1 U)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 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 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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 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]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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 (* 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (cos (/ 1/2 K))) (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 0 into 0
* [misc]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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 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 (- J)) (/ 1 (/ 1 (- U))))) into (* 1/2 (/ U (* (cos (* -1/2 K)) J)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (log1p (expm1 (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (expm1 (log1p (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (log1p (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (pow (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)))>
* [enter]simplify:  Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 4 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (pow (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)))>
* * * * [misc]progress:  [ 5 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (exp (+ (log (* J -2)) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (* J -2)) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* -2 J)))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* -2 J)))
* * * * [misc]progress:  [ 6 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (exp (log (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (log (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* * * * [misc]progress:  [ 7 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (log (exp (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (pow (exp (* -2 J)) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (exp (* -2 J)) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 8 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (cbrt (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (pow (* -2 J) 3) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (pow (* -2 J) 3) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 9 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 10 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (cbrt (* (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (pow (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 11 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 12 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* 1 (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 13 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* (* J -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (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 (64 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* -2 J) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 14 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* (* J -2) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* -2 J) (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 15 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* (* J -2) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* J -2) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (* -2 J)
* [exit]simplify:  Simplified to (* -2 J)
* * * * [misc]progress:  [ 16 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* J (* -2 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* -2 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) -2)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) -2)
* * * * [misc]progress:  [ 17 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* J -2))))>
* * * * [misc]progress:  [ 18 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (log1p (expm1 (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (expm1 (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 19 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (expm1 (log1p (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (log1p (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 20 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 21 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 22 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* * * * [misc]progress:  [ 23 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log (* J -2)) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (cos (/ K 2))) (+ (log (* J -2)) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 24 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (cos (/ K 2))) (log (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (cos (/ K 2))) (log (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 25 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 26 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (exp (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 27 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2))))))
* * * * [misc]progress:  [ 28 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (473 enodes)
* [exit]simplify:  Simplified to (* (* (pow (cos (/ K 2)) 3) (pow (* -2 J) 3)) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))
* [exit]simplify:  Simplified to (* (* (pow (cos (/ K 2)) 3) (pow (* -2 J) 3)) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))
* * * * [misc]progress:  [ 29 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 30 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (388 enodes)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 31 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 32 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 33 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* J -2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* * * * [misc]progress:  [ 34 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (cos (/ K 2))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* J -2)))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* J -2)))
* * * * [misc]progress:  [ 35 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (sqrt (cos (/ K 2))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* J -2)))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* J -2)))
* * * * [misc]progress:  [ 36 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 37 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cos (/ K 2))))>
* * * * [misc]progress:  [ 38 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (log1p (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 39 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (expm1 (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 40 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 1)))))>
* * * * [misc]progress:  [ 41 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (exp (- (log (/ (/ U J) 2)) (log (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))
* [exit]simplify:  Simplified to (- (log (/ (/ U J) 2)) (log (cos (/ K 2))))
* * * * [misc]progress:  [ 42 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (exp (log (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (/ (/ (/ U 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 (59 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 43 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (log (exp (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 44 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (cbrt (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 45 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 46 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (cbrt (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 47 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2))))
* * * * [misc]progress:  [ 48 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (- (/ (/ U J) 2)) (- (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (- (/ (/ U J) 2))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (/ (- U) (* 2 J))
* [exit]simplify:  Simplified to (/ (- U) (* 2 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:  [ 49 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))) (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))) (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 50 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (sqrt (cos (/ K 2)))) (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (/ (sqrt (cos (/ K 2))) (cbrt (/ (/ U J) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (/ (sqrt (cos (/ K 2))) (cbrt (/ (/ U J) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 51 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 1) (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2)))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ U J) 2)) (cos (/ K 2)))
* * * * [misc]progress:  [ 52 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 53 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2)))) (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 54 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (sqrt (/ (/ U J) 2)) 1) (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ U J) 2))
* [exit]simplify:  Simplified to (sqrt (/ (/ U J) 2))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ U J) 2)) (cos (/ K 2)))
* * * * [misc]progress:  [ 55 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ (/ U J) 2) (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) 2) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 56 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ 1 (sqrt (cos (/ K 2)))) (/ (/ (/ U J) 2) (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) 2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 57 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ 1 1) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (cos (/ K 2)))
* * * * [misc]progress:  [ 58 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ 1 2) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 2) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 59 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (/ U J) (sqrt (cos (/ K 2)))) (/ (/ 1 2) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ U J) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ U J) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U J) (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ 1 2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 60 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (/ U J) 1) (/ (/ 1 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U J) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (/ U J)
* [exit]simplify:  Simplified to (/ U J)
* [enter]simplify:  Simplifying (/ (/ 1 2) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 2) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ 1 2) (cos (/ K 2)))
* * * * [misc]progress:  [ 61 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 62 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* (/ (/ U J) 2) (/ 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:  [ 63 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ 1 (/ (cos (/ K 2)) (/ (/ U J) 2)))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* * * * [misc]progress:  [ 64 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ (/ U J) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (/ U J) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2)))))
* * * * [misc]progress:  [ 65 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 66 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ (/ U J) 2) 1) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (/ U J) 2) 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)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ U J) 2)
* [exit]simplify:  Simplified to (/ (/ U J) 2)
* * * * [misc]progress:  [ 67 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (/ (cos (/ K 2)) (cbrt (/ (/ U J) 2))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U J) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2))))
* * * * [misc]progress:  [ 68 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (sqrt (/ (/ U J) 2)) (/ (cos (/ K 2)) (sqrt (/ (/ U J) 2))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U J) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2))))
* * * * [misc]progress:  [ 69 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ 1 (/ (cos (/ K 2)) (/ (/ U J) 2)))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (/ 2 U) J))
* * * * [misc]progress:  [ 70 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ U J) (/ (cos (/ K 2)) (/ 1 2)))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ 1 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* * * * [misc]progress:  [ 71 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) 2)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) 2)
* * * * [misc]progress:  [ 72 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (log1p (expm1 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 73 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (expm1 (log1p (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 74 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (451 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))) 1)
* [exit]simplify:  Simplified to (fma (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))) 1)
* * * * [misc]progress:  [ 75 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))>
* * * * [misc]progress:  [ 76 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (exp (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 77 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (log (exp (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 78 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 79 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (cbrt (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 80 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 81 / 93 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (* 1 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 82 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* -1 U)))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* -1 U))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (* (- U) (cos (/ K 2)))
* * * * [misc]progress:  [ 83 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* -2 J)))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* -2 J))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ K 2)))
* * * * [misc]progress:  [ 84 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* -2 J)))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* -2 J))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ K 2)))
* * * * [misc]progress:  [ 85 / 93 ] 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:  [ 86 / 93 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 87 / 93 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (* J 2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 88 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -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 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* * [misc]simplify:  iters left: 1 (319 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (fma (/ U J) (* (* K K) 1/16) (* 1/2 (/ U J)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 89 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (* U (/ 1/2 J)) (cos (* K 1/2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 90 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* -1/2 (/ U (* (cos (* -1/2 K)) J)))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* -1/2 (/ U (* (cos (* -1/2 K)) J))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (* U (/ -1/2 J)) (cos (* K -1/2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 91 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* (* J -2) 1)))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 92 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (394 enodes)
* [exit]simplify:  Simplified to (* (/ (* U 1/2) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ J (* -2 J))))
* * * * [misc]progress:  [ 93 / 93 ] simplifiying candidate #<alt-event (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (* 1/2 (/ U (* (cos (* -1/2 K)) J))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (* J -2) (* 1/2 (/ U (* (cos (* -1/2 K)) J)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ K 2)) (* (/ U J) 1/2)) (/ (* -2 J) (cos (* -1/2 K))))
* * * [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) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (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)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) 0) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 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 0 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 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) 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))) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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) 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 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 (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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 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]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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (cos (* 1/2 K)) 2))) (/ 0 (cos (* 1/2 K)))) 2) 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 (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]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) 0) into (* +nan.0 (/ (* (pow J 2) (pow +nan.0 2)) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow J 2) (pow +nan.0 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow J 2) (pow +nan.0 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow +nan.0 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log +nan.0))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log +nan.0)) 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 +nan.0) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (* 2 (log +nan.0)) into (* 2 (log +nan.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log +nan.0))) into (pow +nan.0 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow +nan.0 2) into (pow +nan.0 2)
* [misc]backup-simplify:  Simplify (/ (pow +nan.0 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow +nan.0 2) (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 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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 (* 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 J)) into (/ +nan.0 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) 0) into (* +nan.0 (/ (* (pow J 2) (pow +nan.0 2)) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow J 2) (pow +nan.0 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow J 2) (pow +nan.0 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow +nan.0 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log +nan.0))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log +nan.0)) 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 +nan.0) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (* 2 (log +nan.0)) into (* 2 (log +nan.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log +nan.0))) into (pow +nan.0 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow +nan.0 2) into (pow +nan.0 2)
* [misc]backup-simplify:  Simplify (/ (pow +nan.0 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow +nan.0 2) (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 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 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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 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]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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 (* 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 (- J))) into (/ +nan.0 (* J (cos (* -1/2 K))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) 0) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 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 0 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 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) 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))) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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) 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 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 (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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ 1 J) (/ 0 J))) 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 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)) J)) (/ 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]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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (cos (* 1/2 K)) 2))) (/ 0 (cos (* 1/2 K)))) 2) 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 (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]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) 0) into (* +nan.0 (/ (* (pow J 2) (pow +nan.0 2)) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow J 2) (pow +nan.0 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow J 2) (pow +nan.0 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow +nan.0 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log +nan.0))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log +nan.0)) 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 +nan.0) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (* 2 (log +nan.0)) into (* 2 (log +nan.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log +nan.0))) into (pow +nan.0 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow +nan.0 2) into (pow +nan.0 2)
* [misc]backup-simplify:  Simplify (/ (pow +nan.0 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow +nan.0 2) (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 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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 (* 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 J)) into (/ +nan.0 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) 0) into (* +nan.0 (/ (* (pow J 2) (pow +nan.0 2)) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow J 2) (pow +nan.0 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow J 2) (pow +nan.0 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow +nan.0 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log +nan.0))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log +nan.0)) 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 +nan.0) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (* 2 (log +nan.0)) into (* 2 (log +nan.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log +nan.0))) into (pow +nan.0 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow +nan.0 2) into (pow +nan.0 2)
* [misc]backup-simplify:  Simplify (/ (pow +nan.0 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow +nan.0 2) (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 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 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 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 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]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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 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)) 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 (+ (/ 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 (* 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 +nan.0 2)) (pow (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (cos (/ 1/2 K))) (* (/ 1 (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 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 (- J))) into (/ +nan.0 (* J (cos (* -1/2 K))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) 0) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) into (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) in J
* [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 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (log (* 1/4 (pow U 2))) into (log (* 1/4 (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))
* [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]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 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 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (/ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (* -1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (* (* 1/4 J) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (+ (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) in J
* [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 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (log (* 1/4 (pow U 2))) into (log (* 1/4 (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))
* [misc]taylor:  Taking taylor expansion of (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))) in J
* [misc]taylor:  Taking taylor expansion of 1/32 in J
* [misc]backup-simplify:  Simplify 1/32 into 1/32
* [misc]taylor:  Taking taylor expansion of (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) in J
* [misc]taylor:  Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (log (* 1/4 (pow U 2))) into (log (* 1/4 (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) into (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) into (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))
* [misc]backup-simplify:  Simplify (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) into (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))))
* [misc]backup-simplify:  Simplify (* 1/4 (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))))) into (* 1/4 (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))))) into (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4)
* [misc]backup-simplify:  Simplify (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4)) into (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4))
* [misc]backup-simplify:  Simplify (* 1/32 (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4))) into (* 1/32 (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4)))
* [misc]backup-simplify:  Simplify (* 1/32 (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4))) into (* 1/32 (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4)))
* [misc]taylor:  Taking taylor expansion of (* 1/32 (* (pow U 2) (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4))) 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 (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) 1/4) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))))) 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 (log (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) 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 (* 1/4 (pow U 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 1/4 (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (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 U 2) in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify (log 1/4) into (log 1/4)
* [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 U)) (log 1/4)) into (+ (* 2 (log U)) (log 1/4))
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (log U)) (log 1/4)) (* 2 (log J))) into (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))
* [misc]backup-simplify:  Simplify (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))) into (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))) into (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))) into (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))
* [misc]backup-simplify:  Simplify (log (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))) into (log (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))))
* [misc]backup-simplify:  Simplify (* 1/4 (log (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))))) into (* 1/4 (log (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))))) into (pow (/ 1 (exp (* 3 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))) 1/4)
* [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 U) 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 (/ 0 (* 1/4 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))
* [misc]backup-simplify:  Simplify (* -2 (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) into (* -2 (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))
* [misc]taylor:  Taking taylor expansion of (* -2 (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 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 (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) 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 (- (log (* 1/4 (pow U 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 1/4 (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (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 U 2) in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify (log 1/4) into (log 1/4)
* [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 U)) (log 1/4)) into (+ (* 2 (log U)) (log 1/4))
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (log U)) (log 1/4)) (* 2 (log J))) into (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))
* [misc]backup-simplify:  Simplify (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))) into (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))) into (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))
* [misc]backup-simplify:  Simplify (* -2 (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))) into (* -2 (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))
* [misc]backup-simplify:  Simplify (* -2 (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))) into (* -2 (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) 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]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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 1/4 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) (/ 0 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (/ 1 (exp (* 3 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 U) 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 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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (* 1/4 (pow U 2)) 2))) (/ 2 (* 1/4 (pow U 2)))) 2) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 4 (pow U 2))) into (/ 1 (pow U 2))
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) (/ 1 (pow U 2))) into (/ (exp (* 1/4 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) (pow U 2))
* [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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 J) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))) J) into (* -2 (* J (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (* 2 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/16 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 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 (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 (/ 1/16 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1/16 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/16 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/16 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/16 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/8 (* (pow U 2) (cos (/ 1/2 K)))) 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 (* (pow U 2) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ -1/8 (cos (/ 1/2 K))) into (/ -1/8 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 0 (cos (/ 1/2 K))) (* (/ -1/8 (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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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 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 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 0 (cos (/ 1/2 K))) (* (/ -1/8 (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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4)) 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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (* 2 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/16 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 1 into 1
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 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 (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) 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)) into 0
* [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 J
* [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 (/ 1/16 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1/16 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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)) (/ 1/16 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/16 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/16 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/8 (* (pow U 2) (cos (/ -1/2 K)))) 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 (* (pow U 2) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ -1/8 (cos (/ -1/2 K))) into (/ -1/8 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 0 (cos (/ -1/2 K))) (* (/ -1/8 (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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) 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)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 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 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 0 (cos (/ -1/2 K))) (* (/ -1/8 (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 (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) 0) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) 0) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) into (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)))
* [misc]backup-simplify:  Simplify (* (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) 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]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 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 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (/ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (* -1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (/ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (* -1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (* (* 1/4 J) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (+ (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))))
* [misc]backup-simplify:  Simplify (+ (* (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* -1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (* (+ (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 U)) into (* -1 U)
* [misc]taylor:  Taking taylor expansion of (* -1 U) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) 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 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 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]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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* 1/2 U))) into (/ 1 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 (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (* (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) 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]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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 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 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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]taylor:  Taking taylor expansion of 0 in J
* [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 K) (* (/ 1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ 1/2 K)))) 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) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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]taylor:  Taking taylor expansion of 0 in J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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]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 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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]taylor:  Taking taylor expansion of 0 in J
* [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]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 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) 2) into (/ 1/128 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
* [misc]backup-simplify:  Simplify (* (/ 1/128 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (cos (/ 1/2 K))) into (/ 1/128 (* (pow U 4) (pow (cos (/ 1/2 K)) 3)))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/128 (* (pow U 4) (pow (cos (/ 1/2 K)) 3)))) into (/ -1/64 (* (pow U 4) (pow (cos (/ 1/2 K)) 3)))
* [misc]taylor:  Taking taylor expansion of (/ -1/64 (* (pow U 4) (pow (cos (/ 1/2 K)) 3))) 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 U 4) (pow (cos (/ 1/2 K)) 3)) in U
* [misc]taylor:  Taking taylor expansion of (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]backup-simplify:  Simplify (pow (cos (/ 1/2 K)) 3) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) 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 (+ (/ 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)))) 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 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) (* (/ -1/4 (cos (/ 1/2 (/ 1 K)))) (* (pow (/ 1 U) -2) (/ 1 J)))) into (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J))))
* [misc]approximate:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) 0) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4)))
* [misc]backup-simplify:  Simplify (* (* -2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) (/ (cos (/ -1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) (/ (cos (/ -1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) (/ (cos (/ -1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (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 (/ 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 (* 1/4 (/ 1 (* (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 (/ 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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (/ (* 2 (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 2) into (/ 1/2 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1/2 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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]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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 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]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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) 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)) 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]taylor:  Taking taylor expansion of 0 in J
* [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 K) (* (/ -1/2 K) (/ 0 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 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ -1/2 K)))) 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) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) 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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) 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)) 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]taylor:  Taking taylor expansion of 0 in J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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 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]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) 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 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 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 J
* [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]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 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ -1/2 K)) 2))) (/ 0 (cos (/ -1/2 K)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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 K) (* (/ -1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ -1/2 K)) 2))) (/ 0 (cos (/ -1/2 K)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/16 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))
* [misc]backup-simplify:  Simplify (/ (+ (* -3 (pow (* 2 (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 2)) (* 24 (/ 1/16 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))))) 24) into (/ -1/16 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ -1/16 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))) into (/ -1/64 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))
* [misc]backup-simplify:  Simplify (+ (/ (pow (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 2) 2) (/ -1/64 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))) into (- (* 1/128 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))))
* [misc]backup-simplify:  Simplify (* (- (* 1/128 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))))) (cos (/ -1/2 K))) into (/ -1/128 (* (pow U 4) (pow (cos (/ -1/2 K)) 3)))
* [misc]backup-simplify:  Simplify (* -2 (/ -1/128 (* (pow U 4) (pow (cos (/ -1/2 K)) 3)))) into (/ 1/64 (* (pow U 4) (pow (cos (/ -1/2 K)) 3)))
* [misc]taylor:  Taking taylor expansion of (/ 1/64 (* (pow U 4) (pow (cos (/ -1/2 K)) 3))) 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 U 4) (pow (cos (/ -1/2 K)) 3)) in U
* [misc]taylor:  Taking taylor expansion of (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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]backup-simplify:  Simplify (pow (cos (/ -1/2 K)) 3) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 K) (* (/ -1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ -1/2 K)) 2))) (/ 0 (cos (/ -1/2 K)))) 2) 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 (+ (/ 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)))) 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 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) (* (/ -1/4 (cos (/ -1/2 (/ 1 (- K))))) (* (pow (/ 1 (- U)) -2) (/ 1 (- J))))) into (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log1p (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (expm1 (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 1/2)))>
* * * * [misc]progress:  [ 4 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (pow (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)))>
* * * * [misc]progress:  [ 5 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (exp (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 6 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 7 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 8 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 9 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 10 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 11 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (sqrt 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 12 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 13 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (fabs (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 14 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* 1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 15 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (log1p (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 16 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (expm1 (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 17 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 1/2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 18 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (pow (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 19 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (exp (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 20 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (log (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 21 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 22 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (cbrt (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 23 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 24 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 25 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* (sqrt 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 26 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 27 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (fabs (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 28 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (* 1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 29 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log1p (expm1 (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 30 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (expm1 (log1p (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 31 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 32 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 33 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 34 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 35 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (log (* (cos (/ K 2)) (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 36 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (log (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 37 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log (exp (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* * * * [misc]progress:  [ 38 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 39 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 40 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [enter]simplify:  Simplifying (cbrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 41 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 42 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 43 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 44 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (234 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 45 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (fabs (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (fabs (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 46 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 47 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt 1)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (sqrt 1) (* -2 J)))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* (sqrt 1) (* -2 J)))
* * * * [misc]progress:  [ 48 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 49 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 50 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* (* J -2) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* J -2) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* -2 J) (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 51 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* J -2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 52 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (log1p (expm1 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 53 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (expm1 (log1p (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 54 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (224 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 55 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (224 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 56 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (224 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 57 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* * * * [misc]progress:  [ 58 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (* J -2))))
* * * * [misc]progress:  [ 59 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (log (* (cos (/ K 2)) (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* (cos (/ K 2)) (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (+ (log (* (* -2 J) (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (+ (log (* (* -2 J) (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 60 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (+ (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* -2 J))))
* [exit]simplify:  Simplified to (+ (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* -2 J))))
* * * * [misc]progress:  [ 61 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* * [misc]simplify:  iters left: 1 (448 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* * * * [misc]progress:  [ 62 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (251 enodes)
* * [misc]simplify:  iters left: 1 (271 enodes)
* [exit]simplify:  Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 63 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (190 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 64 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (167 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 65 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 66 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 67 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (417 enodes)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 68 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 69 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 70 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 71 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (fabs (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (fabs (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 72 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 73 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt 1)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (sqrt 1)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (sqrt 1)) (cos (/ K 2))))
* * * * [misc]progress:  [ 74 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 75 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (361 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
* * * * [misc]progress:  [ 76 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))
* * * * [misc]progress:  [ 77 / 89 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 78 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (361 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
* * * * [misc]progress:  [ 79 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (/ +nan.0 (* (cos (* 1/2 K)) J))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (/ +nan.0 (* (cos (* 1/2 K)) J)))
* * * * [misc]progress:  [ 80 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (/ +nan.0 (* J (cos (* -1/2 K))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (/ +nan.0 (* J (cos (* -1/2 K)))))
* * * * [misc]progress:  [ 81 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 82 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (/ +nan.0 (* (cos (* 1/2 K)) J))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (/ +nan.0 (* (cos (* 1/2 K)) J))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 83 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (/ +nan.0 (* J (cos (* -1/2 K))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (/ +nan.0 (* J (cos (* -1/2 K))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 84 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* J (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* -2 (* J (exp (* 1/4 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (pow (exp 1/4) (fma 2 (log U) (log 1/4))) (* (* (* J -2) (pow J 1/4)) (pow J 1/4))))
* * * * [misc]progress:  [ 85 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 86 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (* (* 2 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* 2 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (* (cos (* K 1/2)) (* J 2)) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 87 / 89 ] 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:  [ 88 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* * [misc]simplify:  iters left: 2 (479 enodes)
* [exit]simplify:  Simplified to (- (* (* 2 (- J)) (cos (* K 1/2))) (/ (/ (* U 1/4) (/ J U)) (cos (* K 1/2))))
* * * * [misc]progress:  [ 89 / 89 ] simplifiying candidate #<alt-event (λ (J K U) (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J))))>
* [enter]simplify:  Simplifying (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (fma 2 (* J (cos (* K 1/2))) (/ (* (/ 1/4 J) (* U U)) (cos (* K 1/2))))
* * * [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) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) 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]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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 U)) into (* -1 U)
* [misc]taylor:  Taking taylor expansion of (* -1 U) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0
* [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]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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* 1/2 U))) into (/ 1 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 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 (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ 1/2 K)))) 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) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 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 (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ -1/2 K)))) 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) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) 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]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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 U)) into (* -1 U)
* [misc]taylor:  Taking taylor expansion of (* -1 U) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0
* [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]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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* 1/2 U))) into (/ 1 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 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 (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ 1/2 K)))) 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) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 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 (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ -1/2 K)))) 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) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) 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]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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* -2 (* 1/2 U)) into (* -1 U)
* [misc]taylor:  Taking taylor expansion of (* -1 U) in U
* [misc]taylor:  Taking taylor expansion of -1 in U
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 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 U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (/ 0 U) 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 (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0
* [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]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 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* 1/2 U))) into (/ 1 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [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 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 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 (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ 1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ 1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ 1/2 K)))) 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) (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (/ 1 (/ 1 J))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (/ (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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 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 (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 K) (* (/ -1/2 K) (/ 0 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 (* 1/4 (/ 1 (* (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 (/ 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 (/ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))) into (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* -2 (/ 1/8 (* (pow U 2) (cos (/ -1/2 K))))) into (/ -1/4 (* (pow U 2) (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ -1/4 (* (pow U 2) (cos (/ -1/2 K)))) 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) (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of (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]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) into 0
* [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 J
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 U) 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 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]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 (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (+ (/ 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 (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (/ 1 (/ 1 (- J)))) into (* 2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U 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 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]backup-simplify:  Simplify (/ (/ 1 J) 2) 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 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 into -2
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -2 (cos (* 1/2 K))) into (* -2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* (* -2 (cos (* 1/2 K))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* -1 U)
* [misc]backup-simplify:  Simplify (log (* -1 U)) into (log (* -1 U))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -1 U))) into (* 1/3 (log (* -1 U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -1 U)))) into (pow (* -1 U) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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) 2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U 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 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) 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 (* 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 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 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 (/ U (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 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 (+ (/ 0 (cos (* 1/2 K))) (* (* 1/2 (/ U (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 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 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 into -2
* [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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -2 (cos (* 1/2 K))) into (* -2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* (* -2 (cos (* 1/2 K))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* -1 U)
* [misc]backup-simplify:  Simplify (log (* -1 U)) into (log (* -1 U))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -1 U))) into (* 1/3 (log (* -1 U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -1 U)))) into (pow (* -1 U) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]backup-simplify:  Simplify (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]backup-simplify:  Simplify (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]backup-simplify:  Simplify (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (* J -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 (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ U J) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U 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 in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ U J) into (/ U J)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ U J) 2) 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)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) 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 J) (* (/ U J) (/ 0 J))) 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 (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))
* [misc]backup-simplify:  Simplify (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3)) into (pow (* (pow J 2) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* (pow J 2) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 2))) 1/3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow J 2) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow J 2) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 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 (* (pow J 2) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (pow J 2) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 2))) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow -2 2)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow -2 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log -2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log -2)) 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 -2) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (* 2 (log -2)) into (* 2 (log -2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log -2))) into (pow -2 2)
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* (* 1/4 (pow U 2)) (pow -2 2)) into (pow U 2)
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]backup-simplify:  Simplify (log (pow U 2)) into (log (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow U 2))) into (* 1/3 (log (pow U 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow U 2)))) into (pow (pow U 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (pow U 2) 1/3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow U 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow U 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 (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log U))) into (* 2/3 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log U))) into (pow U 2/3)
* [misc]backup-simplify:  Simplify (pow U 2/3) into (pow U 2/3)
* [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 (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 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]taylor:  Taking taylor expansion of 0 in J
* [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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 U) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (pow U 2)) 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]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log 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 (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 2))) (/ (* 2 (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) 2) into (* -1/2 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))
* [misc]backup-simplify:  Simplify (* 1/3 (* -1/2 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))) into (* -1/6 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))
* [misc]backup-simplify:  Simplify (* (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) (* -1/6 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))) into (* -1/6 (* (pow (* J -2) 1/3) (* (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (/ 0 J) (* (/ U J) (/ 0 J))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* 1/2 (/ U J))) into (* -1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* -1/16 (/ U J))) (* (* -1/16 (/ U J)) (* 1/2 (/ U J)))) into (- (* 1/16 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (- (* 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)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (* -1/8 (* -2 J)) into (* 1/4 J)
* [misc]backup-simplify:  Simplify (+ (* (* -2 J) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 2))) (/ (* 2 (+ (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) 2) into (* -1/2 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))
* [misc]backup-simplify:  Simplify (* 1/3 (* -1/2 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))) into (* -1/6 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))
* [misc]backup-simplify:  Simplify (* (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) (* -1/6 (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))) into (* -1/6 (* (pow (* J -2) 1/3) (* (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) (* -1/6 (* (pow (* J -2) 1/3) (* (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))))) (* (* -1/6 (* (pow (* J -2) 1/3) (* (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) (+ (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4)))) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3))) into (- (+ (* 1/12 (pow (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3)) (* 1/48 (* (pow (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) 1/3) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/12 (pow (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3)) (* 1/48 (* (pow (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) 1/3) (pow U 2))))) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/12 (pow (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3)) (* 1/48 (* (pow (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) 1/3) (pow U 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/12 (pow (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3)) in J
* [misc]taylor:  Taking taylor expansion of 1/12 in J
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (pow (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (* (pow J 2) (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (* 4 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of 4 in J
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 4 (* 1/4 (pow U 2))) into (pow U 2)
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]backup-simplify:  Simplify (log (pow U 2)) into (log (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow U 2))) into (* 1/3 (log (pow U 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow U 2)))) into (pow (pow U 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (* 1/48 (* (pow (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) 1/3) (pow U 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/48 in J
* [misc]backup-simplify:  Simplify 1/48 into 1/48
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) 1/3) (pow U 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) 1/3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 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 (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 4 (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) in J
* [misc]taylor:  Taking taylor expansion of 4 in J
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (pow J 4) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 4) in J
* [misc]taylor:  Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (pow U 2) into (pow U 2)
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2))
* [misc]backup-simplify:  Simplify (log (* 1/4 (pow U 2))) into (log (* 1/4 (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) into (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))
* [misc]backup-simplify:  Simplify (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))
* [misc]backup-simplify:  Simplify (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) into (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))
* [misc]backup-simplify:  Simplify (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) into (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))))
* [misc]backup-simplify:  Simplify (+ (* -4 (log J)) (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))))) into (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))) into (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))) into (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* 1/12 (pow (pow U 2) 1/3)) into (* 1/12 (pow (pow U 2) 1/3))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))) (pow U 2)) into (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))
* [misc]backup-simplify:  Simplify (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))) into (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))))))
* [misc]backup-simplify:  Simplify (+ (* 1/12 (pow (pow U 2) 1/3)) (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))))))) into (+ (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))) (* 1/12 (pow (pow U 2) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))) (* 1/12 (pow (pow U 2) 1/3))) into (+ (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))) (* 1/12 (pow (pow U 2) 1/3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))) (* 1/12 (pow (pow U 2) 1/3))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/48 (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))))) in U
* [misc]taylor:  Taking taylor expansion of 1/48 in U
* [misc]backup-simplify:  Simplify 1/48 into 1/48
* [misc]taylor:  Taking taylor expansion of (* (pow U 2) (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))))) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J)))) 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 (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) (* 4 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) in U
* [misc]taylor:  Taking taylor expansion of (/ 4 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (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 (exp (* 2 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (- (log (* 1/4 (pow U 2))) (* 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 (* 1/4 (pow U 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 1/4 (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (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 U 2) in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify (log 1/4) into (log 1/4)
* [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 U)) (log 1/4)) into (+ (* 2 (log U)) (log 1/4))
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (log U)) (log 1/4)) (* 2 (log J))) into (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))
* [misc]backup-simplify:  Simplify (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))) into (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))) into (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))
* [misc]backup-simplify:  Simplify (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))) into (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))
* [misc]backup-simplify:  Simplify (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))) into (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))))
* [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 (* 4 (log J)) into (* 4 (log J))
* [misc]backup-simplify:  Simplify (+ (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))) (* 4 (log J))) into (+ (* 4 (log J)) (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 4 (log J)) (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))))) into (* 1/3 (+ (* 4 (log J)) (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 4 (log J)) (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4)))))))))) into (exp (* 1/3 (+ (* 4 (log J)) (log (/ 4 (exp (* 2 (+ (* 2 (log J)) (+ (* 2 (log U)) (log 1/4))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/12 (pow (pow U 2) 1/3)) in U
* [misc]taylor:  Taking taylor expansion of 1/12 in U
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (pow (pow U 2) 1/3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow U 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow U 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 (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log U))) into (* 2/3 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log U))) into (pow U 2/3)
* [misc]backup-simplify:  Simplify (* 1/12 (pow U 2/3)) into (* 1/12 (pow (pow U 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/12 (pow (pow U 2) 1/3)) into (* 1/12 (pow (pow U 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/12 (pow (pow U 2) 1/3)) into (* 1/12 (pow (pow U 2) 1/3))
* [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 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow U 2))) (/ 0 U)) 2) 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 into 1
* [misc]backup-simplify:  Simplify (pow -2 2) into (pow -2 2)
* [misc]backup-simplify:  Simplify (pow -2 2) into (pow -2 2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (pow U 2) 2))) (/ (* 2 (pow -2 2)) (pow U 2))) 2) into (/ 4 (pow U 2))
* [misc]backup-simplify:  Simplify (* 1/3 (/ 4 (pow U 2))) into (/ 4/3 (pow U 2))
* [misc]backup-simplify:  Simplify (* (pow (pow U 2) 1/3) (/ 4/3 (pow U 2))) into (* 4/3 (pow (/ 1 (pow U 4)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* 4/3 (pow (/ 1 (pow U 4)) 1/3)) in U
* [misc]taylor:  Taking taylor expansion of 4/3 in U
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow U 4)) 1/3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow U 4))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow U 4)))) 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 (/ 1 (pow U 4))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow U 4)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 4) in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -4 (log U)) into (* -4 (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (* -4 (log U))) into (* -4/3 (log U))
* [misc]backup-simplify:  Simplify (exp (* -4/3 (log U))) into (pow U -4/3)
* [misc]backup-simplify:  Simplify (* 4/3 (pow U -4/3)) into (* 4/3 (pow (/ 1 (pow U 4)) 1/3))
* [misc]backup-simplify:  Simplify (* 4/3 (pow (/ 1 (pow U 4)) 1/3)) into (* 4/3 (pow (/ 1 (pow U 4)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 4/3 (pow (/ 1 (pow U 4)) 1/3)) (pow J 2)) (+ (* (* 1/12 (pow (pow U 2) 1/3)) (pow K 2)) (pow U 2/3))) into (+ (* 1/12 (* (pow K 2) (pow (pow U 2) 1/3))) (+ (* 4/3 (* (pow J 2) (pow (/ 1 (pow U 4)) 1/3))) (pow U 2/3)))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (* 1/2 (/ J (cos (/ 1/2 K))))) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* -1 (log U)) (log -1)) into (- (log -1) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log U))) into (* 1/3 (- (log -1) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log U)))) into (exp (* 1/3 (- (log -1) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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)) 2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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 into 1
* [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 (/ 1 J)) into J
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ J 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* J (/ 0 (/ 1 J)))) 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 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (* 1/2 (/ J (cos (/ 1/2 K))))) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* -1 (log U)) (log -1)) into (- (log -1) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log U))) into (* 1/3 (- (log -1) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log U)))) into (exp (* 1/3 (- (log -1) (log U))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 (* (/ 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 into 1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) in J
* [misc]taylor:  Taking 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 into 1
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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)) 2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (/ 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) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3) (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3)) into (pow (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) (pow J 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) (pow J 2)) 1/3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) (pow J 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) (pow J 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 (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) (* (pow (cos (/ 1/2 K)) 2) (pow -2 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 2) (pow -2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 -2 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log -2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log -2)) 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 -2) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (* 2 (log -2)) into (* 2 (log -2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log -2))) into (pow -2 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 2) (pow -2 2)) into (* 4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 4 (pow (cos (/ 1/2 K)) 2)) into (* 4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 4 (pow (cos (/ 1/2 K)) 2)) into (* 4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (log (* 4 (pow (cos (/ 1/2 K)) 2))) into (log (* 4 (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))) into (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))) into (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))) 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 (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 4 (pow (cos (/ 1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 4 (pow (cos (/ 1/2 K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of 4 in U
* [misc]backup-simplify:  Simplify 4 into 4
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* 4 (pow (cos (/ 1/2 K)) 2)) into (* 4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (log (* 4 (pow (cos (/ 1/2 K)) 2))) into (log (* 4 (pow (cos (/ 1/2 K)) 2)))
* [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 (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) into (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2))))) into (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) into (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) into (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into 0
* [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 J
* [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 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 K) (* (/ 1/2 K) (/ 0 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 (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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 4 (pow (cos (/ 1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))) into (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))
* [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 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 (* 4 (pow (cos (/ 1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 J) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) 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 (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2))) (/ 0 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) 2) 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 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* (/ 1 J) (/ 0 J)) 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 (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2))) (/ 0 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) 2) into 0
* [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 J
* [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 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 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) 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 (* 1/4 (/ 1 (* (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 (/ 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 (* (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* 4 (pow (cos (/ 1/2 K)) 2))) into (/ 1 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow U 2)) into (/ 1 (pow U 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (* 4 (pow (cos (/ 1/2 K)) 2)) 2))) (/ (* 2 (/ 1 (pow U 2))) (* 4 (pow (cos (/ 1/2 K)) 2)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))) into (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/12 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) (/ 1/12 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/12 (/ (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of 1/12 in U
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J)))) 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 (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 4 (pow (cos (/ 1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 4 (pow (cos (/ 1/2 K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of 4 in U
* [misc]backup-simplify:  Simplify 4 into 4
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* 4 (pow (cos (/ 1/2 K)) 2)) into (* 4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (log (* 4 (pow (cos (/ 1/2 K)) 2))) into (log (* 4 (pow (cos (/ 1/2 K)) 2)))
* [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 (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) into (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2))))) into (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) into (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow (cos (/ 1/2 K)) 2) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) (pow (cos (/ 1/2 K)) 2)) into (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 (* 4 (pow (cos (/ 1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 J) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) 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 (pow (* 4 (pow (cos (/ 1/2 K)) 2)) 2))) (/ 0 (* 4 (pow (cos (/ 1/2 K)) 2)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow J 2))) (/ 0 J)) 2) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ 1/2 K) (/ 0 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 (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 K) (* (/ 1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ 1/2 K)) 2))) (/ 0 (cos (/ 1/2 K)))) 2) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (cos (/ 1/2 K)) 2)) (* (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) (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)) (* (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ 1/2 K)) 2)))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log (/ 1 J))) (log (* 4 (pow (cos (/ 1/2 (/ 1 K))) 2)))))) into (exp (* 1/3 (+ (log (* 4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J))))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))) in (K J U) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (* 1/2 (/ J (cos (/ 1/2 K))))) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* -1 (log U)) (log -1)) into (- (log -1) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log U))) into (* 1/3 (- (log -1) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log U)))) into (exp (* 1/3 (- (log -1) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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))) 2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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 into -1
* [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 (/ 1 J)) into (* -1 J)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (* -1 J) 2) 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (* -1 J) (/ 0 (/ 1 J)))) 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 K into K
* [misc]backup-simplify:  Simplify (* (/ 1 K) (/ 0 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 (+ (/ 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 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (* 1/2 (/ J (cos (/ 1/2 K))))) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* -1 (log U)) (log -1)) into (- (log -1) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log U))) into (* 1/3 (- (log -1) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log U)))) into (exp (* 1/3 (- (log -1) (log U))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (log (* 2 (cos (/ 1/2 K)))) into (log (* 2 (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (log J)) (log (* 2 (cos (/ 1/2 K))))) into (- (log (* 2 (cos (/ 1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 (* (/ 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 into -1
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 U) -1) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) 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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (log (* 2 (cos (/ 1/2 K)))) into (log (* 2 (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (log J)) (log (* 2 (cos (/ 1/2 K))))) into (- (log (* 2 (cos (/ 1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ 1/2 K)))) (log J))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) into (pow (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) into (pow (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) into (pow (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -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 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) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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))) 2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (/ 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)) 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 U) (/ 1 J)) into (/ J U)
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ J U) 2) 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 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (/ 1 U) (/ 0 U)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (* -2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))
* [misc]backup-simplify:  Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) into (pow (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3) (pow (* -2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3)) into (pow (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) (pow J 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) (pow J 2)) 1/3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) (pow J 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) (pow J 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 (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (* (pow (cos (/ -1/2 K)) 2) (pow -2 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow U 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) 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 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 (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow -2 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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 -2 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log -2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log -2)) 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 -2) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (* 2 (log -2)) into (* 2 (log -2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log -2))) into (pow -2 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) (pow -2 2)) into (* 4 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 4 (pow (cos (/ -1/2 K)) 2)) into (* 4 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 4 (pow (cos (/ -1/2 K)) 2)) into (* 4 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (log (* 4 (pow (cos (/ -1/2 K)) 2))) into (log (* 4 (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))) into (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))) into (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))) 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 (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 4 (pow (cos (/ -1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 4 (pow (cos (/ -1/2 K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of 4 in U
* [misc]backup-simplify:  Simplify 4 into 4
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* 4 (pow (cos (/ -1/2 K)) 2)) into (* 4 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (log (* 4 (pow (cos (/ -1/2 K)) 2))) into (log (* 4 (pow (cos (/ -1/2 K)) 2)))
* [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 (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))) into (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2))))) into (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) into (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) into (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2))))))
* [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 0 into 0
* [misc]backup-simplify:  Simplify 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)) (/ (cos (/ -1/2 K)) J)))) 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 J into J
* [misc]backup-simplify:  Simplify (* (/ 1 J) (/ 0 J)) 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 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into 0
* [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 J
* [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 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 K) (* (/ -1/2 K) (/ 0 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 (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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 4 (pow (cos (/ -1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))) into (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))
* [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 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 (* 4 (pow (cos (/ -1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 J) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) 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 (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) 2))) (/ 0 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))))) 2) 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 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)) 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)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 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 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 (/ 1 J)) (* (/ J U) (/ 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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)) 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 (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) 2))) (/ 0 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))))) 2) into 0
* [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 J
* [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 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 K) (* (/ -1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ -1/2 K)) 2))) (/ 0 (cos (/ -1/2 K)))) 2) 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 (* 1/4 (/ 1 (* (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 (/ 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 (* (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (* 4 (pow (cos (/ -1/2 K)) 2))) into (/ 1 (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow U 2)) into (/ 1 (pow U 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow (* 4 (pow (cos (/ -1/2 K)) 2)) 2))) (/ (* 2 (/ 1 (pow U 2))) (* 4 (pow (cos (/ -1/2 K)) 2)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))) into (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))
* [misc]backup-simplify:  Simplify (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/12 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) (/ 1/12 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/12 (/ (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of 1/12 in U
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J)))) 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 (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (log (* 4 (pow (cos (/ -1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 4 (pow (cos (/ -1/2 K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of 4 in U
* [misc]backup-simplify:  Simplify 4 into 4
* [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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (* 4 (pow (cos (/ -1/2 K)) 2)) into (* 4 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (log (* 4 (pow (cos (/ -1/2 K)) 2))) into (log (* 4 (pow (cos (/ -1/2 K)) 2)))
* [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 (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 4 (pow (cos (/ -1/2 K)) 2))) (* 2 (log J))) into (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2))))) into (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) into (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 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)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (* 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 (pow (cos (/ -1/2 K)) 2) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) (pow (cos (/ -1/2 K)) 2)) into (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 (* 4 (pow (cos (/ -1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 J) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ -1/2 K)) 2))) (/ 0 (cos (/ -1/2 K)))) 2) 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 (pow (* 4 (pow (cos (/ -1/2 K)) 2)) 2))) (/ 0 (* 4 (pow (cos (/ -1/2 K)) 2)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow J 2))) (/ 0 J)) 2) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 K) (* (/ -1/2 K) (/ 0 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 (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 K) (* (/ -1/2 K) (/ 0 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 (/ (+ (* -1 (/ 0 (pow (cos (/ -1/2 K)) 2))) (/ 0 (cos (/ -1/2 K)))) 2) 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (cos (/ -1/2 K)) 2)) (* (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) (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)) (* (/ (exp (* 1/3 (+ (* 2 (log J)) (log (* 4 (pow (cos (/ -1/2 K)) 2)))))) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log (/ 1 (- J)))) (log (* 4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))))) into (exp (* 1/3 (+ (log (* 4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (log1p (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (expm1 (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 4 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 5 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))))>
* * * * [misc]progress:  [ 6 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (exp (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 7 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (exp (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 8 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (exp (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 9 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (log (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 10 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 11 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 12 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 13 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 14 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 15 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* 1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 16 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* * * * [misc]progress:  [ 17 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 18 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 19 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 20 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))))>
* * * * [misc]progress:  [ 21 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (log1p (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 22 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (expm1 (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 23 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 24 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 25 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 26 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (exp (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 27 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (exp (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 28 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (exp (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 29 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (log (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 30 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 31 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 32 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 33 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 34 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 35 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* 1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 36 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* * * * [misc]progress:  [ 37 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 38 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 39 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 40 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 41 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (log1p (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 42 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (expm1 (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 43 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 44 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 45 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 46 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (exp (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 47 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (exp (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 48 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (exp (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 49 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (log (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 50 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 51 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)))
* * * * [misc]progress:  [ 52 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 53 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (cbrt (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 54 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 55 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* 1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 56 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2)))))
* * * * [misc]progress:  [ 57 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 58 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) 1) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cos (/ K 2)) (* J -2)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 59 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 60 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 61 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log1p (expm1 (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (expm1 (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (expm1 (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 62 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (expm1 (log1p (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (log1p (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (log1p (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 63 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (+ 1/3 1/3)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ 1/3 1/3)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/3 1/3)
* [exit]simplify:  Simplified to (+ 1/3 1/3)
* * * * [misc]progress:  [ 64 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (+ 1 1)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 65 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1/3) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (218 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 66 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) 1) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 67 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 2) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 68 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (+ 1 1)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 69 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) 1) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 70 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (log (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (log (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (log (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (+ (log (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (log (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 71 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (log (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (log (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (log (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 72 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log (exp (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (exp (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (exp (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 73 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (218 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 74 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* [exit]simplify:  Simplified to (* (cbrt (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* [enter]simplify:  Simplifying (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 75 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))
* * * * [misc]progress:  [ 76 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (fabs (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (sqrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (fabs (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 77 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 78 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (* J -2)))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (* J -2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 79 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 80 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 81 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 82 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (cos (/ K 2)) (* J -2))) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 83 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 84 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 85 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 86 / 98 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 87 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt 0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt 0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (cbrt 0) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 88 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* -2 (* (cos (* 1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* -2 J) (cos (* K 1/2)))))
* * * * [misc]progress:  [ 89 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* 2 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* 2 (* (cos (* 1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (cos (* K 1/2)) (* J 2))))
* * * * [misc]progress:  [ 90 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt 0)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt 0)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cbrt 0) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 91 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cos (* K 1/2)) (* -2 J))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 92 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* 2 (* (cos (* 1/2 K)) J)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* 2 (* (cos (* 1/2 K)) J)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* J 2) (cos (* K 1/2)))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 93 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt 0) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt 0) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (cbrt 0) (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J))))))
* * * * [misc]progress:  [ 94 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* -2 (* (cos (* 1/2 K)) J))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* -2 (* (cos (* 1/2 K)) J))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (* (cos (* K 1/2)) (* J -2))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2)))))
* * * * [misc]progress:  [ 95 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (cbrt (* 2 (* (cos (* 1/2 K)) J))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* 2 (* (cos (* 1/2 K)) J))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (* (* J 2) (cos (* K 1/2)))) (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J)))))
* * * * [misc]progress:  [ 96 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (+ (* 1/12 (* (pow K 2) (pow (pow U 2) 1/3))) (+ (* 4/3 (* (pow J 2) (pow (/ 1 (pow U 4)) 1/3))) (pow U 2/3))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (+ (* 1/12 (* (pow K 2) (pow (pow U 2) 1/3))) (+ (* 4/3 (* (pow J 2) (pow (/ 1 (pow U 4)) 1/3))) (pow U 2/3))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* * [misc]simplify:  iters left: 2 (479 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (fma (cbrt (/ 1 (pow U 4))) (* (* J 4/3) J) (fma (* K (* K 1/12)) (cbrt (* U U)) (pow U 2/3))))
* * * * [misc]progress:  [ 97 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (exp (* 1/3 (+ (log (* 4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (exp (* 1/3 (+ (log (* 4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (exp (* (fma (log J) (- 2) (log 4)) 1/3)) (pow (* (cos (* 1/2 K)) (cos (* 1/2 K))) 1/3)))
* * * * [misc]progress:  [ 98 / 98 ] simplifiying candidate #<alt-event (λ (J K U) (* (exp (* 1/3 (+ (log (* 4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (exp (* 1/3 (+ (log (* 4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2)))) (pow (exp 1/3) (fma (log (cos (* 1/2 K))) 2 (fma 2 (log (/ -1 J)) (log 4)))))
* * * [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 (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))> #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))> #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))> #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))> #<alt-delta (λ (J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))> #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))> #<alt-delta (λ (J K U) (* (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))> #<alt-delta (λ (J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))> #<alt-delta (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt-delta (λ (J K U) (* (cos (/ K 2)) (cbrt (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (pow (* -2 J) 3) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) +nan.0)) , with alts (#<alt-delta (λ (J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))>)
* [enter]simplify:  Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 1 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs