* [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 (70 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/8 in J
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K)))))) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 K))) 1) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (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)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
* [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 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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 1 (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 (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 K))) 1) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 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 (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 (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/4 1) into 1/4
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) 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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (- 1/8)) (+ (* (- 1/8) 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]approximate:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 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 (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow 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 (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) 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 (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]approximate:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 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 (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow 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 (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) 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 (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -2 (* 1 J)) into (* -2 J)
* [misc]approximate:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
* * * * [misc]progress:  [ 2 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
* * * * [misc]progress:  [ 3 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 4 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 5 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 6 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 7 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 8 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 9 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 10 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))
* * * * [misc]progress:  [ 11 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4)))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 12 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 13 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 14 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 15 / 79 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [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 (70 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))
* * * * [misc]progress:  [ 16 / 79 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [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 (70 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))
* * * * [misc]progress:  [ 17 / 79 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* * * * [misc]progress:  [ 18 / 79 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))
* * * * [misc]progress:  [ 19 / 79 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))
* * * * [misc]progress:  [ 20 / 79 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 21 / 79 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 22 / 79 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (183 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow J 3)) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow J 3)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (+ (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow J 3)) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow J 3)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 23 / 79 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3)))))
* * * * [misc]progress:  [ 24 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 25 / 79 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 26 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 27 / 79 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 28 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 29 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 30 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 31 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 32 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 33 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 34 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (* -2 J)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* -2 J)
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 35 / 79 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 36 / 79 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 37 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* -2 J) (cos (/ K 2)))))>
* * * * [misc]progress:  [ 38 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
* [enter]simplify:  Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (298 enodes)
* [exit]simplify:  Simplified to (* 2 (log (/ (/ U (* J 2)) (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (log (/ (/ U (* J 2)) (cos (/ K 2))))))))))
* * * * [misc]progress:  [ 39 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
* * * * [misc]progress:  [ 40 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* 1 2))))))>
* [enter]simplify:  Simplifying (/ U (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ U (* J 2)) (cos (/ K 2)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 1 2))))))
* * * * [misc]progress:  [ 41 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
* [enter]simplify:  Simplifying (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))
* * * * [misc]progress:  [ 42 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
* [enter]simplify:  Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (/ U (* J 2)) (cos (/ K 2)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))
* * * * [misc]progress:  [ 43 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (pow 1 2)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 44 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow U 2) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (pow U 2)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (* U U)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* U U) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 45 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 46 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 1)))))>
* * * * [misc]progress:  [ 47 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 48 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (log (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 49 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 50 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (cbrt (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 51 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 52 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 53 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (* (* -2 J) (cos (/ K 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 (* (cos (/ K 2)) (* -2 J))
* [misc]simplify:  Simplified (2 1 1) to (λ (J K U) (* (pow (* (cos (/ K 2)) (* -2 J)) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 54 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 55 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (log (* -2 J)) (log (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (+ (log (* -2 J)) (log (cos (/ K 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 (24 enodes)
* [exit]simplify:  Simplified to (+ (log (* -2 J)) (log (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (* -2 J)) (log (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 56 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 57 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 58 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 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 (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* -8 J) (* J J)) (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* -8 J) (* J J)) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 59 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 60 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 61 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 62 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (* (* -2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 63 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (cos (/ K 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (/ K 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 64 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (cos (/ K 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cos (/ K 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 65 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) 1) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cos (/ K 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cos (/ K 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) 1) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 66 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 67 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 68 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1))>
* [enter]simplify:  Simplifying 1
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1))
* * * * [misc]progress:  [ 69 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 70 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 71 / 79 ] simplifiying candidate #<alt (λ (J K U) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (J K U) 0)
* * * * [misc]progress:  [ 72 / 79 ] simplifiying candidate #<alt (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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 73 / 79 ] simplifiying candidate #<alt (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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 74 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))>
* [enter]simplify:  Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (* (/ U (/ J U)) (+ (/ 1/4 J) (/ (* K K) (/ J 1/16))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (/ J U)) (+ (/ 1/4 J) (/ (* K K) (/ J 1/16))))))))
* * * * [misc]progress:  [ 75 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))>
* [enter]simplify:  Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K))))))))
* * * * [misc]progress:  [ 76 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))>
* [enter]simplify:  Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K))))))))
* * * * [misc]progress:  [ 77 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (* -2 J)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* -2 J)
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 78 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* (cos (* K 1/2)) (* J -2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 79 / 79 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* (cos (* K 1/2)) (* J -2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/8 in J
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3)) into (pow (pow (cos (* 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 (pow (pow (cos (* 1/2 K)) 2) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (cos (* 1/2 K)) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (* 0 (pow (cos (* 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) into (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) (pow (cos (* 1/2 K)) 1/3))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K)))))) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) (pow (cos (/ 1/2 K)) 1/3)) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 K))) 1) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (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)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
* [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 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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 1 (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 (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) (pow (cos (/ -1/2 K)) 1/3)) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 K))) 1) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (cos (/ K 2))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
* [misc]backup-simplify:  Simplify -1/1152 into -1/1152
* [misc]backup-simplify:  Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (cos (/ K 2))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
* [misc]backup-simplify:  Simplify -1/1152 into -1/1152
* [misc]backup-simplify:  Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
* * * * [misc]progress:  [ 2 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
* * * * [misc]progress:  [ 3 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 4 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 5 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 6 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (cbrt (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 7 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 8 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 9 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 10 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))
* * * * [misc]progress:  [ 11 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (/ (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4)))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (/ (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 12 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 13 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 14 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 15 / 77 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 16 / 77 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 17 / 77 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 18 / 77 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 19 / 77 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* * * * [misc]progress:  [ 20 / 77 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 21 / 77 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* [exit]simplify:  Simplified to (+ (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))
* * * * [misc]progress:  [ 22 / 77 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) (* -2 J)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) (* -2 J)))))))
* * * * [misc]progress:  [ 23 / 77 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* -2 J) (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* -2 J) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 24 / 77 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 25 / 77 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 26 / 77 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (+ (* (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (+ (* (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 27 / 77 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (231 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 28 / 77 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ K 2)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (cos (/ K 2)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))
* * * * [misc]progress:  [ 29 / 77 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (193 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))))))
* * * * [misc]progress:  [ 30 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 31 / 77 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 32 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 33 / 77 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 34 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 35 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 36 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 37 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 38 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 39 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 40 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 41 / 77 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 42 / 77 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 43 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))))>
* * * * [misc]progress:  [ 44 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (/ K 2)) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 45 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cbrt (cos (/ K 2))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 46 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (exp (log (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 47 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (exp (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 48 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 49 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 50 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt 1) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 1 (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 51 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 52 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 53 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 54 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 1 (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 55 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cos (/ K 2)) 1/3))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 56 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cbrt (cos (/ K 2))) 1))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 57 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (exp (log (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 58 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (log (exp (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 59 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 60 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 61 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt 1) (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 62 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 63 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 64 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 65 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 66 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1))>
* [enter]simplify:  Simplifying 1
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 67 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 68 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 69 / 77 ] simplifiying candidate #<alt (λ (J K U) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (J K U) 0)
* * * * [misc]progress:  [ 70 / 77 ] simplifiying candidate #<alt (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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 71 / 77 ] simplifiying candidate #<alt (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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 72 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (* K (* -1/24 K)) (+ (* 1/1152 (pow K 4)) -1))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (- (* K (* -1/24 K)) (+ (* 1/1152 (pow K 4)) -1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 73 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (cos (* 1/2 K)) 1/3)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (* 1/2 K)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 74 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (cos (* 1/2 K)) 1/3)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (* 1/2 K)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 75 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (* K (* -1/24 K)) (+ (* 1/1152 (pow K 4)) -1))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (- (* K (* -1/24 K)) (+ (* 1/1152 (pow K 4)) -1)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 76 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cos (* 1/2 K)) 1/3))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (cos (* 1/2 K)) 1/3)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 77 / 77 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cos (* 1/2 K)) 1/3))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (cos (* 1/2 K)) 1/3)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 1 1 2 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/8 in J
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3)) into (pow (pow (cos (* 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (* 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (* 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 K)) 1/3)) into (log (pow (cos (* 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (* 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))) into (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 -1/24) (+ (* 0 0) (* -1/24 1))) into -1/12
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/12) 1)) (pow 1 1)))) 2) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/12) (+ (* 0 0) (* 0 0))) into -1/36
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1 1)))) 2) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/24) (+ (* 0 0) (* 0 0))) into -1/72
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3)) into (pow (pow (cos (* 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (* 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (* 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 K)) 1/3)) into (log (pow (cos (* 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (* 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))) into (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3)) into (pow (pow (cos (* 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (* 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (* 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 K)) 1/3)) into (log (pow (cos (* 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (* 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))) into (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3) (pow (pow (cos (* 1/2 K)) 1/3) 1/3)) into (pow (cos (* 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3)) into (pow (pow (cos (* 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 (pow (pow (cos (* 1/2 K)) 2) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (cos (* 1/2 K)) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 K)) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (* 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (* 0 (pow (cos (* 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3) 0) (* 0 (pow (pow (cos (* 1/2 K)) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (* 0 (pow (cos (* 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) into (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) (pow (cos (* 1/2 K)) 1/3))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K)))))) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 K)) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (* 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (* 1/2 K)) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (* 1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (* 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (cos (* 1/2 K)) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ 1/2 K)) 1/3)) into (log (pow (cos (/ 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ 1/2 K)) 1/3)) into (log (pow (cos (/ 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ 1/2 K)) 1/3)) into (log (pow (cos (/ 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ 1/2 K)) 1/3)) into (log (pow (cos (/ 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3) (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) (pow (cos (/ 1/2 K)) 1/3)) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 K))) 1) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3) 0) (* 0 (pow (pow (cos (/ 1/2 K)) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (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)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
* [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 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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 1 (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 (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ -1/2 K)) 1/3)) into (log (pow (cos (/ -1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ -1/2 K)) 1/3)) into (log (pow (cos (/ -1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ -1/2 K)) 1/3)) into (log (pow (cos (/ -1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ -1/2 K)) 1/3)) into (log (pow (cos (/ -1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3) (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) (pow (cos (/ -1/2 K)) 1/3)) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 K))) 1) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3) 0) (* 0 (pow (pow (cos (/ -1/2 K)) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 2 2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1 1)))) 2) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/24) (+ (* 0 0) (* 0 0))) into -1/72
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1 1)))) 2) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/24) (+ (* 0 0) (* 0 0))) into -1/72
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/72 1) 1)))) into -1/72
* [misc]backup-simplify:  Simplify -1/72 into -1/72
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/24) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/72 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/1152) 1)) (pow 1 1)))) 24) into -1/576
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/576) (+ (* 0 0) (+ (* 0 -1/24) (+ (* 0 0) (* 0 0))))) into -1/1728
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/72 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/72 2) 2)) (* (/ (pow -1/1728 1) 1)))) into -5/10368
* [misc]backup-simplify:  Simplify -5/10368 into -5/10368
* [misc]backup-simplify:  Simplify (+ (* -5/10368 (pow K 4)) (+ (* -1/72 (pow K 2)) 1)) into (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ 1/2 K)) 1/3)) into (log (pow (cos (/ 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ 1/2 K)) 1/3)) into (log (pow (cos (/ 1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (pow (pow (cos (/ 1/2 K)) 1/3) 1/3) into (pow (pow (cos (/ 1/2 K)) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (cos (/ 1/2 K)) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (cos (/ 1/2 K)) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (cos (/ 1/2 K)) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (cos (/ 1/2 K)) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (cos (/ 1/2 K)) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ 1/2 K)) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (pow (cos (/ 1/2 (/ 1 K))) 1/3) 1/3) into (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ -1/2 K)) 1/3)) into (log (pow (cos (/ -1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (cbrt (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (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 (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (cos (/ -1/2 K)) 1/3)) into (log (pow (cos (/ -1/2 K)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3))) into (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (pow (pow (cos (/ -1/2 K)) 1/3) 1/3) into (pow (pow (cos (/ -1/2 K)) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (cos (/ -1/2 K)) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (cos (/ -1/2 K)) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (cos (/ -1/2 K)) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (cos (/ -1/2 K)) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (cos (/ -1/2 K)) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (cos (/ -1/2 K)) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) 1/3) into (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 -1/24) (+ (* 0 0) (* -1/24 1))) into -1/12
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/12) 1)) (pow 1 1)))) 2) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/12) (+ (* 0 0) (* 0 0))) into -1/36
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ K 2))) (cbrt (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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ K 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ K 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) 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]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 -1/24) (+ (* 0 0) (* -1/24 1))) into -1/12
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/12) 1)) (pow 1 1)))) 2) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/12) (+ (* 0 0) (* 0 0))) into -1/36
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/36 1) 1)))) into -1/36
* [misc]backup-simplify:  Simplify -1/36 into -1/36
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 -1/24) (+ (* -1/24 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/12) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/12) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
* [misc]backup-simplify:  Simplify (+ (* 1 -1/1152) (+ (* 0 0) (+ (* -1/24 -1/24) (+ (* 0 0) (* -1/1152 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/12) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/12) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/288
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/288) (+ (* 0 0) (+ (* 0 -1/12) (+ (* 0 0) (* 0 0))))) into -1/864
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/36 2) 2)) (* (/ (pow -1/864 1) 1)))) into -1/1296
* [misc]backup-simplify:  Simplify -1/1296 into -1/1296
* [misc]backup-simplify:  Simplify (+ (* -1/1296 (pow K 4)) (+ (* -1/36 (pow K 2)) 1)) into (- 1 (+ (* 1/1296 (pow K 4)) (* 1/36 (pow K 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3) into (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (pow (cos (/ 1/2 K)) 2) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (pow (pow (cos (/ 1/2 (/ 1 K))) 2) 1/3) 1/3) into (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in (K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (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 (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (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))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3) into (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (pow (cos (/ -1/2 K)) 2) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (pow (pow (cos (/ -1/2 (/ 1 (- K)))) 2) 1/3) 1/3) into (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
* * * * [misc]progress:  [ 2 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
* * * * [misc]progress:  [ 3 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 4 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 5 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 6 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (cbrt (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 7 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 8 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 9 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 10 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))
* * * * [misc]progress:  [ 11 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (/ (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4)))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (/ (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 12 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 13 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 14 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 15 / 81 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 1))
* * * * [misc]progress:  [ 16 / 81 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 1))
* * * * [misc]progress:  [ 17 / 81 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 1))
* * * * [misc]progress:  [ 18 / 81 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 1))
* * * * [misc]progress:  [ 19 / 81 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 1))
* * * * [misc]progress:  [ 20 / 81 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* * * * [misc]progress:  [ 21 / 81 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (403 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* -2 J))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* -2 J))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))))))
* * * * [misc]progress:  [ 22 / 81 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 J)))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 J)))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))
* * * * [misc]progress:  [ 23 / 81 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (314 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 J)))) (+ (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 J)))) (+ (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))))
* * * * [misc]progress:  [ 24 / 81 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (369 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (log (* (cbrt (cos (/ K 2))) (* -2 J))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (log (* (cbrt (cos (/ K 2))) (* -2 J))))))
* * * * [misc]progress:  [ 25 / 81 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (409 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (log (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (log (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 26 / 81 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 27 / 81 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 28 / 81 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (220 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (* (cos (/ K 2)) (* (* 4 J) (* -2 J))) (* (cos (/ K 2)) J)) (cos (/ K 2))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) (* (* 4 J) (* -2 J))) (* (cos (/ K 2)) J)) (cos (/ K 2))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 29 / 81 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) 4))) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) 4))) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))))))
* * * * [misc]progress:  [ 30 / 81 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (275 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (cos (/ K 2)) (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* J 4) (* -2 J))) (* (* J (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* J 4) (* -2 J))) (* (* J (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))))))))
* * * * [misc]progress:  [ 31 / 81 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (244 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (pow (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (* -2 J)) (cbrt (cbrt (cos (/ K 2)))))) 3))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (pow (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (* -2 J)) (cbrt (cbrt (cos (/ K 2)))))) 3))))
* * * * [misc]progress:  [ 32 / 81 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (225 enodes)
* [exit]simplify:  Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2)))))))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2)))))))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cbrt (cos (/ K 2)))))))))))
* * * * [misc]progress:  [ 33 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 34 / 81 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 35 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 36 / 81 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 37 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 38 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 39 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 40 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 41 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 42 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 43 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 44 / 81 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 45 / 81 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 46 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2))))))>
* * * * [misc]progress:  [ 47 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cbrt (cos (/ K 2))) 1/3)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 48 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cbrt (cbrt (cos (/ K 2)))) 1)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 49 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (exp (log (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 50 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (exp (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 51 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 1 1 2 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 52 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (sqrt (cos (/ K 2))))) (cbrt (cbrt (sqrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1 1 2 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (sqrt (cos (/ K 2))))) (cbrt (cbrt (sqrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 53 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 2 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 1 (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 54 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 1 1 2 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 55 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cbrt (cos (/ K 2))))) (cbrt (sqrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (cbrt (cos (/ K 2)))))
* [misc]simplify:  Simplified (2 1 1 2 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cbrt (cos (/ K 2))))) (cbrt (sqrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 56 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt 1) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 2 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 1 (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 57 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 58 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 59 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (sqrt (cbrt (cbrt (cos (/ K 2))))) (sqrt (cbrt (cbrt (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 60 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 1 (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 61 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (pow (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 1/3) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 62 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (pow (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 1) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 63 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (exp (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 64 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (log (exp (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 65 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (cos (/ K 2))))
* [misc]simplify:  Simplified (2 1 1 2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 66 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (* (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 67 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 68 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (sqrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (sqrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 69 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* 1 (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 70 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) 1))>
* [enter]simplify:  Simplifying 1
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 71 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 72 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 73 / 81 ] simplifiying candidate #<alt (λ (J K U) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (J K U) 0)
* * * * [misc]progress:  [ 74 / 81 ] simplifiying candidate #<alt (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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 75 / 81 ] simplifiying candidate #<alt (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 (20 enodes)
* [exit]simplify:  Simplified to (* (cos (* K 1/2)) (* J -2))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2)))
* * * * [misc]progress:  [ 76 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (* K (* -1/72 K)) (+ (* 5/10368 (pow K 4)) -1))
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (- (* K (* -1/72 K)) (+ (* 5/10368 (pow K 4)) -1))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 77 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (pow (cos (* 1/2 K)) 1/3) 1/3)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (cos (* 1/2 K))))
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (* 1/2 K))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 78 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (pow (cos (* 1/2 K)) 1/3) 1/3)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (pow (cos (* 1/2 K)) 1/3) 1/3)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (cos (* 1/2 K))))
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (* 1/2 K))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 79 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (- 1 (+ (* 1/1296 (pow K 4)) (* 1/36 (pow K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/1296 (pow K 4)) (* 1/36 (pow K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (* K (* -1/36 K)) (+ (* 1/1296 (pow K 4)) -1))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (- (* K (* -1/36 K)) (+ (* 1/1296 (pow K 4)) -1)) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 80 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (* (cos (* 1/2 K)) (cos (* 1/2 K)))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (cbrt (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 81 / 81 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (pow (pow (pow (cos (* 1/2 K)) 2) 1/3) 1/3)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (* (cos (* 1/2 K)) (cos (* 1/2 K)))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (cbrt (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/8 in J
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow 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]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* -2 J) (cos (* 1/2 K))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* -2 J) (cos (* 1/2 K))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* -2 J) (cos (* 1/2 K))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) 1) into (* -2 J)
* [misc]backup-simplify:  Simplify (log (* -2 J)) into (log (* -2 J))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) 1) into (* -2 J)
* [misc]backup-simplify:  Simplify (log (* -2 J)) into (log (* -2 J))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) 1) into (* -2 J)
* [misc]backup-simplify:  Simplify (log (* -2 J)) into (log (* -2 J))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (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 (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/2 (/ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) U) (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) U) (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) U) (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) U) in K
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (- (* 2 (cos (* 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (log J) (log -2)) into (+ (log J) (log -2))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 1/3 (+ (log J) (log -2))))) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) U) into (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))
* [misc]backup-simplify:  Simplify (/ (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) 1) into (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))
* [misc]backup-simplify:  Simplify (* 1/2 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))) into (* 1/2 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) in U
* [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 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log J) (log -2)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log J) (log -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 J) (log -2)) in U
* [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]taylor:  Taking taylor expansion of (log -2) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (log J) (log -2)) into (+ (log J) (log -2))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 1/3 (+ (log J) (log -2))))) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (exp (* 1/3 (+ (log J) (log -2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (exp (* 1/3 (+ (log J) (log -2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) (* 0 0)) into (* 1/2 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))
* [misc]backup-simplify:  Simplify (* 1/2 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) into (* 1/2 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into (/ (* (cos (* 1/2 K)) (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3)) U)
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 K)) (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3)) U) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 K)) (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3)) in K
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (- (* 2 (cos (* 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (log J) (log -2)) into (+ (log J) (log -2))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 1/3 (+ (log J) (log -2))))) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) U) into (/ (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) U)
* [misc]taylor:  Taking taylor expansion of (/ (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) U) in U
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log J) (log -2)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log J) (log -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 J) (log -2)) in U
* [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]taylor:  Taking taylor expansion of (log -2) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (log J) (log -2)) into (+ (log J) (log -2))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 1/3 (+ (log J) (log -2))))) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) 1) into (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (exp (* 1/3 (+ (log J) (log -2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) (/ 0 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4
* [misc]backup-simplify:  Simplify (- -1/4) into 1/4
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 -1/8) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))) (+ (* 0 0) (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (exp (* 1/3 (+ (log J) (log -2))))))) into (- (* 1/12 (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) (- (* 1/12 (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)))) (+ (* 0 0) (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)))) into (- (* 1/8 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)))
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log -2)))) 3) 0) (+ (* 0 0) (* (- (* 1/8 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))) U))) into (- (* 1/8 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/8 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)))) 1) (+ (* (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log -2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) (* U (* 1 (/ 1 J)))) into (* 1/2 (/ (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) 1) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) 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]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (* -2 (cos (/ 1/2 K)))) (log J)) in U
* [misc]taylor:  Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [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 (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) 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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (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)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/8 in K
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) 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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)) in K
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/8 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) in U
* [misc]taylor:  Taking taylor expansion of 1/8 in U
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (* -2 (cos (/ 1/2 K)))) (log J)) in U
* [misc]taylor:  Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [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 (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) 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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (pow (cos (/ 1/2 K)) 2)) into (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (pow (cos (/ 1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) 3) into (pow (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) 3)
* [misc]approximate:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) 1) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) 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]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log J)) in U
* [misc]taylor:  Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K))))
* [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 (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) 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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/8 in K
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* U U) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
* [misc]backup-simplify:  Simplify (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/8 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
* [misc]taylor:  Taking taylor expansion of 1/8 in U
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log J)) in U
* [misc]taylor:  Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K))))
* [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 (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (pow (cos (/ -1/2 K)) 2)) into (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (pow (cos (/ -1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) 3) into (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) 1) into (* -2 J)
* [misc]backup-simplify:  Simplify (log (* -2 J)) into (log (* -2 J))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (- (* 2 (cos (* 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (log J) (log -2)) into (+ (log J) (log -2))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4
* [misc]backup-simplify:  Simplify (- -1/4) into 1/4
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 -1/8) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))
* [misc]backup-simplify:  Simplify (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) 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 (- -1/4) into 1/4
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/4) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 2 (cos (* 1/2 K)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking 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 (+ (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (* K 1) 2)) (exp (* 1/3 (+ (log J) (log -2))))) into (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2)))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) 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]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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) 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]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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* -2 J) into (* -2 J)
* [misc]backup-simplify:  Simplify (* (* -2 J) 1) into (* -2 J)
* [misc]backup-simplify:  Simplify (log (* -2 J)) into (log (* -2 J))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (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 J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (- (* 2 (cos (* 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (log J) (log -2)) into (+ (log J) (log -2))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4
* [misc]backup-simplify:  Simplify (- -1/4) into 1/4
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 -1/8) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))
* [misc]backup-simplify:  Simplify (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) 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 (- -1/4) into 1/4
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/4) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 2 (cos (* 1/2 K)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking 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 (+ (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (* K 1) 2)) (exp (* 1/3 (+ (log J) (log -2))))) into (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2)))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ 1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) 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]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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (/ -1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) 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]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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [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 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [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 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
* * * * [misc]progress:  [ 2 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
* * * * [misc]progress:  [ 3 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 4 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 5 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 6 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 7 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 8 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))
* * * * [misc]progress:  [ 9 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 10 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))
* * * * [misc]progress:  [ 11 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4)))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 12 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 13 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 14 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 15 / 70 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) 1))
* * * * [misc]progress:  [ 16 / 70 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) 1))
* * * * [misc]progress:  [ 17 / 70 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* [enter]simplify:  Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) 1))
* * * * [misc]progress:  [ 18 / 70 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
* * * * [misc]progress:  [ 19 / 70 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (cbrt (* (* -2 J) (cos (/ K 2))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (+ (log (cbrt (* (* -2 J) (cos (/ K 2))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (364 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))))))
* * * * [misc]progress:  [ 20 / 70 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (362 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))))))))
* * * * [misc]progress:  [ 21 / 70 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (cos (/ K 2)) (* -2 J))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (cos (/ K 2)) (* -2 J))))))
* * * * [misc]progress:  [ 22 / 70 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 23 / 70 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 24 / 70 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3)))))
* * * * [misc]progress:  [ 25 / 70 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 26 / 70 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (pow (* (cos (/ K 2)) (* -2 J)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (pow (* (cos (/ K 2)) (* -2 J)) 3)))))
* * * * [misc]progress:  [ 27 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 28 / 70 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 29 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* * * * [misc]progress:  [ 30 / 70 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 31 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 32 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 33 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 34 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt 1)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 35 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 36 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 37 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (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 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))
* [misc]simplify:  Simplified (2 1) to (λ (J K U) (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
* * * * [misc]progress:  [ 38 / 70 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 39 / 70 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 40 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 41 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (pow (* (* -2 J) (cos (/ K 2))) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 42 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (pow (cbrt (* (* -2 J) (cos (/ K 2)))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 43 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (exp (log (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 44 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (log (exp (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 45 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (* -2 J))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (* -2 J))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 46 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (* (cbrt (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (cbrt (* (* -2 J) (cos (/ K 2)))))) (cbrt (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 47 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 48 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 49 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* 1 (cbrt (* (* -2 J) (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 50 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 1/3)) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 51 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (pow (cbrt (* (* -2 J) (cos (/ K 2)))) 1)) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 52 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (exp (log (cbrt (* (* -2 J) (cos (/ K 2))))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 53 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (log (exp (cbrt (* (* -2 J) (cos (/ K 2))))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 54 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (cbrt (* -2 J))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (* -2 J))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 55 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (cbrt (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (cbrt (* (* -2 J) (cos (/ K 2)))))) (cbrt (cbrt (* (* -2 J) (cos (/ K 2))))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 56 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 57 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (sqrt (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (cbrt (* (* -2 J) (cos (/ K 2))))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 58 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* 1 (cbrt (* (* -2 J) (cos (/ K 2)))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 59 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))>
* [enter]simplify:  Simplifying 1
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))
* * * * [misc]progress:  [ 60 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 61 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
* [misc]simplify:  Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 62 / 70 ] simplifiying candidate #<alt (λ (J K U) (* 1/2 (/ (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) J)))>
* [enter]simplify:  Simplifying (* 1/2 (/ (* U (pow (exp (* 1/3 (+ (log J) (log -2)))) 3)) J))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* [exit]simplify:  Simplified to (* (/ 1/2 (/ J U)) (pow (cbrt (* -2 J)) 3))
* [misc]simplify:  Simplified (2) to (λ (J K U) (* (/ 1/2 (/ J U)) (pow (cbrt (* -2 J)) 3)))
* * * * [misc]progress:  [ 63 / 70 ] simplifiying candidate #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) 3))>
* [enter]simplify:  Simplifying (pow (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) 3)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* [exit]simplify:  Simplified to (pow (* (* (cbrt J) (pow -2 1/3)) (pow (cos (* 1/2 K)) 1/3)) 3)
* [misc]simplify:  Simplified (2) to (λ (J K U) (pow (* (* (cbrt J) (pow -2 1/3)) (pow (cos (* 1/2 K)) 1/3)) 3))
* * * * [misc]progress:  [ 64 / 70 ] simplifiying candidate #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))>
* [enter]simplify:  Simplifying (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (357 enodes)
* [exit]simplify:  Simplified to (pow (* (* (pow (/ -1 J) -1/3) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) 3)
* [misc]simplify:  Simplified (2) to (λ (J K U) (pow (* (* (pow (/ -1 J) -1/3) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) 3))
* * * * [misc]progress:  [ 65 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (+ (cbrt (* -2 J)) (* (cbrt (* -2 J)) (* K (* K -1/24))))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (+ (cbrt (* -2 J)) (* (cbrt (* -2 J)) (* K (* K -1/24))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 66 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (cos (* 1/2 K))))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 67 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* [exit]simplify:  Simplified to (* (pow (cos (* 1/2 K)) 1/3) (* (pow 2 1/3) (pow (/ -1 J) -1/3)))
* [misc]simplify:  Simplified (2 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (pow (cos (* 1/2 K)) 1/3) (* (pow 2 1/3) (pow (/ -1 J) -1/3)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 68 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2)))))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (+ (cbrt (* -2 J)) (* (cbrt (* -2 J)) (* K (* K -1/24))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (+ (cbrt (* -2 J)) (* (cbrt (* -2 J)) (* K (* K -1/24))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 69 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (cos (* 1/2 K))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (* 1/2 K))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]progress:  [ 70 / 70 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* [enter]simplify:  Simplifying (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* [exit]simplify:  Simplified to (* (pow (cos (* 1/2 K)) 1/3) (* (pow 2 1/3) (pow (/ -1 J) -1/3)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (pow (cos (* 1/2 K)) 1/3) (* (pow 2 1/3) (pow (/ -1 J) -1/3)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * [misc]regime-changes:  Trying 6 branch expressions: (U K (/ K 2) (cos (/ K 2)) J (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
* * * * [misc]regimes:  Trying to branch on U from (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * * [misc]regimes:  Trying to branch on K from (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * * [misc]regimes:  Trying to branch on (/ K 2) from (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * * [misc]regimes:  Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * * [misc]regimes:  Trying to branch on J from (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * * [misc]regimes:  Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* * * * [misc]regimes:  Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (#<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 6 38) #s(si 3 213) #s(si 6 256))>
* [misc]binary-search:  Only using regimes for bounds on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) and (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 6 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) -inf.0) #s(sp 3 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1.597468271107113e+303) #s(sp 6 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) +nan.0)) , with alts (#<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (pow (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) 3))> #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>)
* [enter]simplify:  Simplifying (if (<= (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) -inf.0) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (if (<= (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1.597468271107113e+303) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* [exit]simplify:  Simplified to (if (<= (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))) -inf.0) (* (* 1/2 (/ U (* (cos (* K 1/2)) J))) (* (cos (/ K 2)) (* -2 J))) (if (<= (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))) 1.597468271107113e+303) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))) (* (* 1/2 (/ U (* (cos (* K 1/2)) J))) (* (cos (/ K 2)) (* -2 J)))))
* * * * [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:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 1 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs