37.076 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.196 * * * [progress]: [2/2] Setting up program.
0.201 * [progress]: [Phase 2 of 3] Improving.
0.201 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
0.201 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.201 * * [simplify]: iteration 1: (17 enodes)
0.204 * * [simplify]: iteration 2: (34 enodes)
0.211 * * [simplify]: iteration 3: (79 enodes)
0.241 * * [simplify]: iteration 4: (185 enodes)
0.304 * * [simplify]: iteration 5: (616 enodes)
1.084 * * [simplify]: Extracting #0: cost 1 inf + 0
1.084 * * [simplify]: Extracting #1: cost 15 inf + 0
1.084 * * [simplify]: Extracting #2: cost 15 inf + 2
1.084 * * [simplify]: Extracting #3: cost 18 inf + 44
1.085 * * [simplify]: Extracting #4: cost 201 inf + 89
1.092 * * [simplify]: Extracting #5: cost 339 inf + 8425
1.113 * * [simplify]: Extracting #6: cost 187 inf + 41443
1.145 * * [simplify]: Extracting #7: cost 97 inf + 73351
1.193 * * [simplify]: Extracting #8: cost 1 inf + 124289
1.241 * * [simplify]: Extracting #9: cost 0 inf + 124724
1.274 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
1.282 * * [progress]: iteration 1 / 4
1.282 * * * [progress]: picking best candidate
1.286 * * * * [pick]: Picked  #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
1.286 * * * [progress]: localizing error
1.325 * * * [progress]: generating rewritten candidates
1.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1.463 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.808 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
1.920 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2)
1.943 * * * [progress]: generating series expansions
1.943 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
1.943 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
1.943 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.943 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.943 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.943 * [taylor]: Taking taylor expansion of 1/4 in K
1.943 * [backup-simplify]: Simplify 1/4 into 1/4
1.944 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.944 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.944 * [taylor]: Taking taylor expansion of U in K
1.944 * [backup-simplify]: Simplify U into U
1.944 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.944 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.944 * [taylor]: Taking taylor expansion of 1/2 in K
1.944 * [backup-simplify]: Simplify 1/2 into 1/2
1.944 * [taylor]: Taking taylor expansion of K in K
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 1 into 1
1.944 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.947 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.947 * [taylor]: Taking taylor expansion of J in K
1.947 * [backup-simplify]: Simplify J into J
1.947 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.947 * [backup-simplify]: Simplify (* 1 1) into 1
1.947 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.947 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.947 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.947 * [taylor]: Taking taylor expansion of 1 in K
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.948 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.948 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.948 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.948 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.949 * [backup-simplify]: Simplify (+ 0) into 0
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.950 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.951 * [taylor]: Taking taylor expansion of 1/4 in J
1.951 * [backup-simplify]: Simplify 1/4 into 1/4
1.951 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.951 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.951 * [taylor]: Taking taylor expansion of U in J
1.951 * [backup-simplify]: Simplify U into U
1.951 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.951 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.951 * [taylor]: Taking taylor expansion of 1/2 in J
1.951 * [backup-simplify]: Simplify 1/2 into 1/2
1.951 * [taylor]: Taking taylor expansion of K in J
1.951 * [backup-simplify]: Simplify K into K
1.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.952 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.952 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.952 * [backup-simplify]: Simplify (- 0) into 0
1.952 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.952 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.952 * [taylor]: Taking taylor expansion of J in J
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.952 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.952 * [backup-simplify]: Simplify (* 1 1) into 1
1.953 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.953 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.953 * [taylor]: Taking taylor expansion of 1 in J
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
1.953 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
1.953 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.954 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.955 * [backup-simplify]: Simplify (+ 0) into 0
1.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.958 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.958 * [backup-simplify]: Simplify (- 0) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.959 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.959 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.960 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.961 * [taylor]: Taking taylor expansion of 1/4 in U
1.961 * [backup-simplify]: Simplify 1/4 into 1/4
1.961 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.961 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.961 * [taylor]: Taking taylor expansion of U in U
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify 1 into 1
1.961 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.961 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.961 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.961 * [taylor]: Taking taylor expansion of 1/2 in U
1.961 * [backup-simplify]: Simplify 1/2 into 1/2
1.961 * [taylor]: Taking taylor expansion of K in U
1.961 * [backup-simplify]: Simplify K into K
1.961 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.962 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.962 * [backup-simplify]: Simplify (- 0) into 0
1.962 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.962 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.962 * [taylor]: Taking taylor expansion of J in U
1.962 * [backup-simplify]: Simplify J into J
1.963 * [backup-simplify]: Simplify (* 1 1) into 1
1.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.963 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.963 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.963 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.963 * [taylor]: Taking taylor expansion of 1 in U
1.963 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (+ 0 1) into 1
1.964 * [backup-simplify]: Simplify (sqrt 1) into 1
1.965 * [backup-simplify]: Simplify (+ 0 0) into 0
1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.966 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.966 * [taylor]: Taking taylor expansion of 1/4 in U
1.966 * [backup-simplify]: Simplify 1/4 into 1/4
1.966 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.966 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.966 * [taylor]: Taking taylor expansion of U in U
1.966 * [backup-simplify]: Simplify 0 into 0
1.966 * [backup-simplify]: Simplify 1 into 1
1.966 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.966 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.966 * [taylor]: Taking taylor expansion of 1/2 in U
1.966 * [backup-simplify]: Simplify 1/2 into 1/2
1.966 * [taylor]: Taking taylor expansion of K in U
1.966 * [backup-simplify]: Simplify K into K
1.966 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.966 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.966 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.966 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.967 * [backup-simplify]: Simplify (- 0) into 0
1.967 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.967 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.967 * [taylor]: Taking taylor expansion of J in U
1.967 * [backup-simplify]: Simplify J into J
1.967 * [backup-simplify]: Simplify (* 1 1) into 1
1.968 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.968 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.968 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.968 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.968 * [taylor]: Taking taylor expansion of 1 in U
1.968 * [backup-simplify]: Simplify 1 into 1
1.969 * [backup-simplify]: Simplify (+ 0 1) into 1
1.969 * [backup-simplify]: Simplify (sqrt 1) into 1
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.970 * [taylor]: Taking taylor expansion of 1 in J
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [taylor]: Taking taylor expansion of 0 in J
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [taylor]: Taking taylor expansion of 1 in K
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.971 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.972 * [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)))
1.973 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.973 * [taylor]: Taking taylor expansion of 1/8 in J
1.973 * [backup-simplify]: Simplify 1/8 into 1/8
1.973 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.973 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.973 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.973 * [taylor]: Taking taylor expansion of 1/2 in J
1.973 * [backup-simplify]: Simplify 1/2 into 1/2
1.973 * [taylor]: Taking taylor expansion of K in J
1.973 * [backup-simplify]: Simplify K into K
1.973 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.973 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.973 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.973 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.973 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.974 * [backup-simplify]: Simplify (- 0) into 0
1.974 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.974 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.974 * [taylor]: Taking taylor expansion of J in J
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.974 * [backup-simplify]: Simplify (* 1 1) into 1
1.975 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.975 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.976 * [backup-simplify]: Simplify (+ 0) into 0
1.976 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.978 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.979 * [backup-simplify]: Simplify (- 0) into 0
1.979 * [backup-simplify]: Simplify (+ 0 0) into 0
1.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.980 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.980 * [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
1.980 * [taylor]: Taking taylor expansion of 0 in K
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [taylor]: Taking taylor expansion of 0 in K
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [taylor]: Taking taylor expansion of 0 in K
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.982 * [backup-simplify]: Simplify (+ 0) into 0
1.982 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.984 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.985 * [backup-simplify]: Simplify (- 0) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.985 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.986 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.987 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
1.988 * [taylor]: Taking taylor expansion of 0 in J
1.988 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.993 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.993 * [backup-simplify]: Simplify (- 0) into 0
1.994 * [backup-simplify]: Simplify (+ 0 0) into 0
1.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.995 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.996 * [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
1.996 * [taylor]: Taking taylor expansion of 0 in K
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [taylor]: Taking taylor expansion of 0 in K
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 1 into 1
1.996 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
1.996 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
1.997 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.997 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.997 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.997 * [taylor]: Taking taylor expansion of 1/4 in K
1.997 * [backup-simplify]: Simplify 1/4 into 1/4
1.997 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.997 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.997 * [taylor]: Taking taylor expansion of J in K
1.997 * [backup-simplify]: Simplify J into J
1.997 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.997 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.997 * [taylor]: Taking taylor expansion of U in K
1.997 * [backup-simplify]: Simplify U into U
1.997 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.997 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.997 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.997 * [taylor]: Taking taylor expansion of 1/2 in K
1.997 * [backup-simplify]: Simplify 1/2 into 1/2
1.997 * [taylor]: Taking taylor expansion of K in K
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.998 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.998 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.998 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.998 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.998 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.998 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.998 * [taylor]: Taking taylor expansion of 1 in K
1.999 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (* 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))))
1.999 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
2.000 * [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))
2.000 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.000 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.001 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.002 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.002 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.003 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.003 * [taylor]: Taking taylor expansion of 1/4 in J
2.003 * [backup-simplify]: Simplify 1/4 into 1/4
2.003 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.003 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.003 * [taylor]: Taking taylor expansion of J in J
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify 1 into 1
2.003 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.003 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.003 * [taylor]: Taking taylor expansion of U in J
2.003 * [backup-simplify]: Simplify U into U
2.003 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.003 * [taylor]: Taking taylor expansion of 1/2 in J
2.003 * [backup-simplify]: Simplify 1/2 into 1/2
2.003 * [taylor]: Taking taylor expansion of K in J
2.003 * [backup-simplify]: Simplify K into K
2.003 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.003 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.003 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.004 * [backup-simplify]: Simplify (- 0) into 0
2.004 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.004 * [backup-simplify]: Simplify (* 1 1) into 1
2.004 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.004 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.005 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.005 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.005 * [taylor]: Taking taylor expansion of 1 in J
2.005 * [backup-simplify]: Simplify 1 into 1
2.005 * [backup-simplify]: Simplify (+ 0 1) into 1
2.006 * [backup-simplify]: Simplify (sqrt 1) into 1
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.007 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.007 * [taylor]: Taking taylor expansion of 1/4 in U
2.007 * [backup-simplify]: Simplify 1/4 into 1/4
2.007 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.007 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.007 * [taylor]: Taking taylor expansion of J in U
2.007 * [backup-simplify]: Simplify J into J
2.007 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.007 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.007 * [taylor]: Taking taylor expansion of U in U
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 1 into 1
2.007 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.007 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.007 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.007 * [taylor]: Taking taylor expansion of 1/2 in U
2.007 * [backup-simplify]: Simplify 1/2 into 1/2
2.007 * [taylor]: Taking taylor expansion of K in U
2.007 * [backup-simplify]: Simplify K into K
2.007 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.007 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.007 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.008 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.008 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.008 * [backup-simplify]: Simplify (- 0) into 0
2.008 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.008 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.009 * [backup-simplify]: Simplify (* 1 1) into 1
2.009 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.009 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.009 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.009 * [taylor]: Taking taylor expansion of 1 in U
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.010 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.010 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.010 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.010 * [backup-simplify]: Simplify (+ 0) into 0
2.011 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.012 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.013 * [backup-simplify]: Simplify (- 0) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.015 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.016 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.016 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.016 * [taylor]: Taking taylor expansion of 1/4 in U
2.016 * [backup-simplify]: Simplify 1/4 into 1/4
2.016 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.016 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.016 * [taylor]: Taking taylor expansion of J in U
2.016 * [backup-simplify]: Simplify J into J
2.016 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.016 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.016 * [taylor]: Taking taylor expansion of U in U
2.016 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify 1 into 1
2.016 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.016 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.016 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.016 * [taylor]: Taking taylor expansion of 1/2 in U
2.016 * [backup-simplify]: Simplify 1/2 into 1/2
2.016 * [taylor]: Taking taylor expansion of K in U
2.017 * [backup-simplify]: Simplify K into K
2.017 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.017 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.017 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.017 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.017 * [backup-simplify]: Simplify (- 0) into 0
2.017 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.017 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.018 * [backup-simplify]: Simplify (* 1 1) into 1
2.018 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.018 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.018 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.018 * [taylor]: Taking taylor expansion of 1 in U
2.018 * [backup-simplify]: Simplify 1 into 1
2.018 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.019 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.019 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.019 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.019 * [backup-simplify]: Simplify (+ 0) into 0
2.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.022 * [backup-simplify]: Simplify (- 0) into 0
2.022 * [backup-simplify]: Simplify (+ 0 0) into 0
2.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.024 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.025 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
2.026 * [taylor]: Taking taylor expansion of 1/2 in J
2.026 * [backup-simplify]: Simplify 1/2 into 1/2
2.026 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
2.026 * [taylor]: Taking taylor expansion of J in J
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.026 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.026 * [taylor]: Taking taylor expansion of 1/2 in J
2.026 * [backup-simplify]: Simplify 1/2 into 1/2
2.026 * [taylor]: Taking taylor expansion of K in J
2.026 * [backup-simplify]: Simplify K into K
2.026 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.026 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.026 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.026 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.026 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.027 * [backup-simplify]: Simplify (- 0) into 0
2.027 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.027 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
2.027 * [taylor]: Taking taylor expansion of 0 in J
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [taylor]: Taking taylor expansion of 0 in K
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
2.027 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
2.027 * [taylor]: Taking taylor expansion of 1/2 in K
2.027 * [backup-simplify]: Simplify 1/2 into 1/2
2.027 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.027 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.028 * [taylor]: Taking taylor expansion of 1/2 in K
2.028 * [backup-simplify]: Simplify 1/2 into 1/2
2.028 * [taylor]: Taking taylor expansion of K in K
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 1 into 1
2.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.028 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.028 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.028 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.029 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.033 * [backup-simplify]: Simplify (- 0) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.036 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.038 * [backup-simplify]: Simplify (+ 0 1) into 1
2.039 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.039 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.039 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.039 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.039 * [taylor]: Taking taylor expansion of 1/2 in J
2.039 * [backup-simplify]: Simplify 1/2 into 1/2
2.039 * [taylor]: Taking taylor expansion of K in J
2.039 * [backup-simplify]: Simplify K into K
2.039 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.039 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.039 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.039 * [taylor]: Taking taylor expansion of J in J
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 1 into 1
2.039 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.039 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.040 * [backup-simplify]: Simplify (- 0) into 0
2.040 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.040 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.041 * [backup-simplify]: Simplify (+ 0) into 0
2.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.043 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.043 * [backup-simplify]: Simplify (- 0) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.044 * [taylor]: Taking taylor expansion of 0 in K
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.045 * [taylor]: Taking taylor expansion of 0 in K
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify (+ 0) into 0
2.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.046 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.047 * [backup-simplify]: Simplify (- 0) into 0
2.048 * [backup-simplify]: Simplify (+ 0 0) into 0
2.048 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
2.049 * [taylor]: Taking taylor expansion of 0 in K
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.051 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.055 * [backup-simplify]: Simplify (- 0) into 0
2.055 * [backup-simplify]: Simplify (+ 0 0) into 0
2.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.058 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.060 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.060 * [taylor]: Taking taylor expansion of 0 in J
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [taylor]: Taking taylor expansion of 0 in K
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [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)))
2.060 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.060 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
2.060 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.060 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.061 * [taylor]: Taking taylor expansion of 1 in K
2.061 * [backup-simplify]: Simplify 1 into 1
2.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.061 * [taylor]: Taking taylor expansion of 1/4 in K
2.061 * [backup-simplify]: Simplify 1/4 into 1/4
2.061 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.061 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.061 * [taylor]: Taking taylor expansion of J in K
2.061 * [backup-simplify]: Simplify J into J
2.061 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.061 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.061 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.061 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.061 * [taylor]: Taking taylor expansion of -1/2 in K
2.061 * [backup-simplify]: Simplify -1/2 into -1/2
2.061 * [taylor]: Taking taylor expansion of K in K
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 1 into 1
2.061 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.061 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.061 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.061 * [taylor]: Taking taylor expansion of U in K
2.061 * [backup-simplify]: Simplify U into U
2.061 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.061 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.061 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.062 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.062 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.062 * [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)))))
2.062 * [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))))))
2.062 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.062 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.062 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.063 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.063 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.064 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.064 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.064 * [taylor]: Taking taylor expansion of 1 in J
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.064 * [taylor]: Taking taylor expansion of 1/4 in J
2.064 * [backup-simplify]: Simplify 1/4 into 1/4
2.064 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.064 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.064 * [taylor]: Taking taylor expansion of J in J
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.064 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.064 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.064 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.064 * [taylor]: Taking taylor expansion of -1/2 in J
2.064 * [backup-simplify]: Simplify -1/2 into -1/2
2.064 * [taylor]: Taking taylor expansion of K in J
2.064 * [backup-simplify]: Simplify K into K
2.064 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.064 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.064 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.064 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.064 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.065 * [backup-simplify]: Simplify (- 0) into 0
2.065 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.065 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.065 * [taylor]: Taking taylor expansion of U in J
2.065 * [backup-simplify]: Simplify U into U
2.065 * [backup-simplify]: Simplify (* 1 1) into 1
2.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.065 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.065 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.065 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.066 * [backup-simplify]: Simplify (+ 1 0) into 1
2.066 * [backup-simplify]: Simplify (sqrt 1) into 1
2.066 * [backup-simplify]: Simplify (+ 0 0) into 0
2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.067 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.067 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.067 * [taylor]: Taking taylor expansion of 1 in U
2.067 * [backup-simplify]: Simplify 1 into 1
2.067 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.067 * [taylor]: Taking taylor expansion of 1/4 in U
2.067 * [backup-simplify]: Simplify 1/4 into 1/4
2.067 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.067 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.067 * [taylor]: Taking taylor expansion of J in U
2.067 * [backup-simplify]: Simplify J into J
2.067 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.067 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.067 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.067 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.067 * [taylor]: Taking taylor expansion of -1/2 in U
2.067 * [backup-simplify]: Simplify -1/2 into -1/2
2.067 * [taylor]: Taking taylor expansion of K in U
2.067 * [backup-simplify]: Simplify K into K
2.067 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.067 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.067 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.067 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.067 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.067 * [backup-simplify]: Simplify (- 0) into 0
2.068 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.068 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.068 * [taylor]: Taking taylor expansion of U in U
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.068 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.068 * [backup-simplify]: Simplify (* 1 1) into 1
2.068 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.068 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.068 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.068 * [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)))
2.069 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.069 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.069 * [backup-simplify]: Simplify (+ 0) into 0
2.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.070 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.071 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.071 * [backup-simplify]: Simplify (- 0) into 0
2.071 * [backup-simplify]: Simplify (+ 0 0) into 0
2.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.071 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.072 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.072 * [backup-simplify]: Simplify (+ 0 0) into 0
2.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.073 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.073 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.073 * [taylor]: Taking taylor expansion of 1 in U
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.073 * [taylor]: Taking taylor expansion of 1/4 in U
2.073 * [backup-simplify]: Simplify 1/4 into 1/4
2.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.073 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.073 * [taylor]: Taking taylor expansion of J in U
2.073 * [backup-simplify]: Simplify J into J
2.073 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.073 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.073 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.073 * [taylor]: Taking taylor expansion of -1/2 in U
2.073 * [backup-simplify]: Simplify -1/2 into -1/2
2.073 * [taylor]: Taking taylor expansion of K in U
2.073 * [backup-simplify]: Simplify K into K
2.073 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.073 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.073 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.073 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.073 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.073 * [backup-simplify]: Simplify (- 0) into 0
2.073 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.073 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.073 * [taylor]: Taking taylor expansion of U in U
2.074 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify 1 into 1
2.074 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.074 * [backup-simplify]: Simplify (* 1 1) into 1
2.074 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.074 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.074 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.074 * [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)))
2.074 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.075 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.075 * [backup-simplify]: Simplify (+ 0) into 0
2.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.077 * [backup-simplify]: Simplify (- 0) into 0
2.077 * [backup-simplify]: Simplify (+ 0 0) into 0
2.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.077 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.078 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
2.079 * [taylor]: Taking taylor expansion of 1/2 in J
2.079 * [backup-simplify]: Simplify 1/2 into 1/2
2.079 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
2.079 * [taylor]: Taking taylor expansion of J in J
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 1 into 1
2.079 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.079 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.079 * [taylor]: Taking taylor expansion of -1/2 in J
2.079 * [backup-simplify]: Simplify -1/2 into -1/2
2.079 * [taylor]: Taking taylor expansion of K in J
2.079 * [backup-simplify]: Simplify K into K
2.079 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.079 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.079 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.079 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.079 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.079 * [backup-simplify]: Simplify (- 0) into 0
2.079 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.079 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
2.079 * [taylor]: Taking taylor expansion of 0 in J
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [taylor]: Taking taylor expansion of 0 in K
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
2.080 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
2.080 * [taylor]: Taking taylor expansion of 1/2 in K
2.080 * [backup-simplify]: Simplify 1/2 into 1/2
2.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.080 * [taylor]: Taking taylor expansion of -1/2 in K
2.080 * [backup-simplify]: Simplify -1/2 into -1/2
2.080 * [taylor]: Taking taylor expansion of K in K
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 1 into 1
2.080 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.080 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.080 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.080 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.080 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.082 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.085 * [backup-simplify]: Simplify (- 0) into 0
2.086 * [backup-simplify]: Simplify (+ 0 0) into 0
2.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.087 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.088 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.089 * [backup-simplify]: Simplify (+ 1 0) into 1
2.090 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.090 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.090 * [taylor]: Taking taylor expansion of -1/2 in J
2.090 * [backup-simplify]: Simplify -1/2 into -1/2
2.090 * [taylor]: Taking taylor expansion of K in J
2.090 * [backup-simplify]: Simplify K into K
2.090 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.090 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.091 * [taylor]: Taking taylor expansion of J in J
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify 1 into 1
2.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.091 * [backup-simplify]: Simplify (- 0) into 0
2.091 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.091 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.092 * [backup-simplify]: Simplify (+ 0) into 0
2.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.094 * [backup-simplify]: Simplify (- 0) into 0
2.095 * [backup-simplify]: Simplify (+ 0 0) into 0
2.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.096 * [taylor]: Taking taylor expansion of 0 in K
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [taylor]: Taking taylor expansion of 0 in K
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify (+ 0) into 0
2.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.099 * [backup-simplify]: Simplify (- 0) into 0
2.099 * [backup-simplify]: Simplify (+ 0 0) into 0
2.099 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
2.100 * [taylor]: Taking taylor expansion of 0 in K
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.103 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.107 * [backup-simplify]: Simplify (- 0) into 0
2.108 * [backup-simplify]: Simplify (+ 0 0) into 0
2.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.110 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.111 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.112 * [backup-simplify]: Simplify (+ 0 0) into 0
2.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.113 * [taylor]: Taking taylor expansion of 0 in J
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [taylor]: Taking taylor expansion of 0 in K
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [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)))
2.113 * * * * [progress]: [ 2 / 4 ] generating series at (2)
2.114 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
2.114 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
2.114 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
2.114 * [taylor]: Taking taylor expansion of -2 in K
2.114 * [backup-simplify]: Simplify -2 into -2
2.114 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
2.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.114 * [taylor]: Taking taylor expansion of 1/2 in K
2.114 * [backup-simplify]: Simplify 1/2 into 1/2
2.114 * [taylor]: Taking taylor expansion of K in K
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 1 into 1
2.115 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.116 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.116 * [taylor]: Taking taylor expansion of J in K
2.116 * [backup-simplify]: Simplify J into J
2.116 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.116 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.116 * [taylor]: Taking taylor expansion of 1/4 in K
2.116 * [backup-simplify]: Simplify 1/4 into 1/4
2.116 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.116 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.116 * [taylor]: Taking taylor expansion of U in K
2.116 * [backup-simplify]: Simplify U into U
2.116 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.116 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.116 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.116 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.116 * [taylor]: Taking taylor expansion of 1/2 in K
2.116 * [backup-simplify]: Simplify 1/2 into 1/2
2.116 * [taylor]: Taking taylor expansion of K in K
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 1 into 1
2.117 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.118 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.118 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.118 * [taylor]: Taking taylor expansion of J in K
2.118 * [backup-simplify]: Simplify J into J
2.118 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.118 * [backup-simplify]: Simplify (* 1 1) into 1
2.118 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.118 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.118 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.118 * [taylor]: Taking taylor expansion of 1 in K
2.118 * [backup-simplify]: Simplify 1 into 1
2.119 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.119 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.119 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.119 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.119 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.120 * [backup-simplify]: Simplify (+ 0) into 0
2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.122 * [backup-simplify]: Simplify (+ 0 0) into 0
2.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.123 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
2.123 * [taylor]: Taking taylor expansion of -2 in J
2.123 * [backup-simplify]: Simplify -2 into -2
2.123 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
2.123 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.123 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.123 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.123 * [taylor]: Taking taylor expansion of 1/2 in J
2.123 * [backup-simplify]: Simplify 1/2 into 1/2
2.123 * [taylor]: Taking taylor expansion of K in J
2.123 * [backup-simplify]: Simplify K into K
2.123 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.123 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.123 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.123 * [taylor]: Taking taylor expansion of J in J
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.123 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.123 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.123 * [taylor]: Taking taylor expansion of 1/4 in J
2.123 * [backup-simplify]: Simplify 1/4 into 1/4
2.123 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.123 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.123 * [taylor]: Taking taylor expansion of U in J
2.124 * [backup-simplify]: Simplify U into U
2.124 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.124 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.124 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.124 * [taylor]: Taking taylor expansion of 1/2 in J
2.124 * [backup-simplify]: Simplify 1/2 into 1/2
2.124 * [taylor]: Taking taylor expansion of K in J
2.124 * [backup-simplify]: Simplify K into K
2.124 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.124 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.124 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.124 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.124 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.125 * [backup-simplify]: Simplify (- 0) into 0
2.125 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.125 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.125 * [taylor]: Taking taylor expansion of J in J
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.126 * [backup-simplify]: Simplify (* 1 1) into 1
2.126 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.126 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.126 * [taylor]: Taking taylor expansion of 1 in J
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.126 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.127 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.127 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.128 * [backup-simplify]: Simplify (+ 0) into 0
2.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.131 * [backup-simplify]: Simplify (- 0) into 0
2.131 * [backup-simplify]: Simplify (+ 0 0) into 0
2.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.132 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.132 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.133 * [backup-simplify]: Simplify (+ 0 0) into 0
2.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.133 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
2.134 * [taylor]: Taking taylor expansion of -2 in U
2.134 * [backup-simplify]: Simplify -2 into -2
2.134 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
2.134 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.134 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.134 * [taylor]: Taking taylor expansion of 1/2 in U
2.134 * [backup-simplify]: Simplify 1/2 into 1/2
2.134 * [taylor]: Taking taylor expansion of K in U
2.134 * [backup-simplify]: Simplify K into K
2.134 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.134 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.134 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.134 * [taylor]: Taking taylor expansion of J in U
2.134 * [backup-simplify]: Simplify J into J
2.134 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.134 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.134 * [taylor]: Taking taylor expansion of 1/4 in U
2.134 * [backup-simplify]: Simplify 1/4 into 1/4
2.134 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.134 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.134 * [taylor]: Taking taylor expansion of U in U
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.134 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.134 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.135 * [taylor]: Taking taylor expansion of 1/2 in U
2.135 * [backup-simplify]: Simplify 1/2 into 1/2
2.135 * [taylor]: Taking taylor expansion of K in U
2.135 * [backup-simplify]: Simplify K into K
2.135 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.135 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.135 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.135 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.135 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.135 * [backup-simplify]: Simplify (- 0) into 0
2.135 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.136 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.136 * [taylor]: Taking taylor expansion of J in U
2.136 * [backup-simplify]: Simplify J into J
2.136 * [backup-simplify]: Simplify (* 1 1) into 1
2.136 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.136 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.136 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.137 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.137 * [taylor]: Taking taylor expansion of 1 in U
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (+ 0 1) into 1
2.138 * [backup-simplify]: Simplify (sqrt 1) into 1
2.138 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.139 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
2.139 * [taylor]: Taking taylor expansion of -2 in U
2.139 * [backup-simplify]: Simplify -2 into -2
2.139 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
2.139 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.139 * [taylor]: Taking taylor expansion of 1/2 in U
2.139 * [backup-simplify]: Simplify 1/2 into 1/2
2.139 * [taylor]: Taking taylor expansion of K in U
2.139 * [backup-simplify]: Simplify K into K
2.139 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.140 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.140 * [taylor]: Taking taylor expansion of J in U
2.140 * [backup-simplify]: Simplify J into J
2.140 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.140 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.140 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.140 * [taylor]: Taking taylor expansion of 1/4 in U
2.140 * [backup-simplify]: Simplify 1/4 into 1/4
2.140 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.140 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.140 * [taylor]: Taking taylor expansion of U in U
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.140 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.140 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.140 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.140 * [taylor]: Taking taylor expansion of 1/2 in U
2.140 * [backup-simplify]: Simplify 1/2 into 1/2
2.140 * [taylor]: Taking taylor expansion of K in U
2.140 * [backup-simplify]: Simplify K into K
2.140 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.140 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.140 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.140 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.141 * [backup-simplify]: Simplify (- 0) into 0
2.141 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.141 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.141 * [taylor]: Taking taylor expansion of J in U
2.141 * [backup-simplify]: Simplify J into J
2.142 * [backup-simplify]: Simplify (* 1 1) into 1
2.142 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.142 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.142 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.142 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.142 * [taylor]: Taking taylor expansion of 1 in U
2.142 * [backup-simplify]: Simplify 1 into 1
2.143 * [backup-simplify]: Simplify (+ 0 1) into 1
2.143 * [backup-simplify]: Simplify (sqrt 1) into 1
2.143 * [backup-simplify]: Simplify (+ 0 0) into 0
2.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.144 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.144 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.145 * [backup-simplify]: Simplify (- 0) into 0
2.145 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.145 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
2.145 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
2.145 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
2.145 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
2.145 * [taylor]: Taking taylor expansion of -2 in J
2.145 * [backup-simplify]: Simplify -2 into -2
2.145 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.145 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.145 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.145 * [taylor]: Taking taylor expansion of 1/2 in J
2.146 * [backup-simplify]: Simplify 1/2 into 1/2
2.146 * [taylor]: Taking taylor expansion of K in J
2.146 * [backup-simplify]: Simplify K into K
2.146 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.146 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.146 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.146 * [taylor]: Taking taylor expansion of J in J
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (+ 0) into 0
2.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.149 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.149 * [backup-simplify]: Simplify (- 0) into 0
2.149 * [backup-simplify]: Simplify (+ 0 0) into 0
2.150 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
2.150 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
2.151 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
2.151 * [taylor]: Taking taylor expansion of 0 in J
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.151 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.151 * [backup-simplify]: Simplify (- 0) into 0
2.151 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.152 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.152 * [backup-simplify]: Simplify (* -2 0) into 0
2.152 * [taylor]: Taking taylor expansion of 0 in K
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.153 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.154 * [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)))
2.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.156 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.159 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.159 * [backup-simplify]: Simplify (- 0) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.160 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
2.161 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
2.162 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
2.162 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
2.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
2.162 * [taylor]: Taking taylor expansion of 1/4 in J
2.162 * [backup-simplify]: Simplify 1/4 into 1/4
2.162 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
2.162 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.162 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.162 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.162 * [taylor]: Taking taylor expansion of 1/2 in J
2.162 * [backup-simplify]: Simplify 1/2 into 1/2
2.162 * [taylor]: Taking taylor expansion of K in J
2.162 * [backup-simplify]: Simplify K into K
2.162 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.162 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.162 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.162 * [taylor]: Taking taylor expansion of J in J
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify 1 into 1
2.162 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.163 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.163 * [backup-simplify]: Simplify (- 0) into 0
2.163 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.163 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.164 * [backup-simplify]: Simplify (+ 0) into 0
2.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.166 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.166 * [backup-simplify]: Simplify (- 0) into 0
2.167 * [backup-simplify]: Simplify (+ 0 0) into 0
2.167 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.167 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
2.167 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
2.168 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
2.168 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
2.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
2.168 * [taylor]: Taking taylor expansion of 1/4 in K
2.168 * [backup-simplify]: Simplify 1/4 into 1/4
2.168 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
2.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.168 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.168 * [taylor]: Taking taylor expansion of 1/2 in K
2.168 * [backup-simplify]: Simplify 1/2 into 1/2
2.168 * [taylor]: Taking taylor expansion of K in K
2.168 * [backup-simplify]: Simplify 0 into 0
2.168 * [backup-simplify]: Simplify 1 into 1
2.168 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.169 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.170 * [backup-simplify]: Simplify (/ 1 1) into 1
2.170 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.171 * [backup-simplify]: Simplify (- 1/4) into -1/4
2.171 * [backup-simplify]: Simplify -1/4 into -1/4
2.171 * [taylor]: Taking taylor expansion of 0 in K
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify (+ 0) into 0
2.172 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.174 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.174 * [backup-simplify]: Simplify (- 0) into 0
2.175 * [backup-simplify]: Simplify (+ 0 0) into 0
2.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.176 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
2.176 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
2.176 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.176 * [taylor]: Taking taylor expansion of 2 in K
2.176 * [backup-simplify]: Simplify 2 into 2
2.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.176 * [taylor]: Taking taylor expansion of 1/2 in K
2.176 * [backup-simplify]: Simplify 1/2 into 1/2
2.176 * [taylor]: Taking taylor expansion of K in K
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.177 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.178 * [backup-simplify]: Simplify (* 2 1) into 2
2.178 * [backup-simplify]: Simplify (- 2) into -2
2.178 * [backup-simplify]: Simplify -2 into -2
2.178 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.179 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.180 * [backup-simplify]: Simplify (+ 0) into 0
2.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.182 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.183 * [backup-simplify]: Simplify (- 0) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.184 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.184 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.185 * [backup-simplify]: Simplify (+ 0 0) into 0
2.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.192 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.192 * [backup-simplify]: Simplify (- 0) into 0
2.193 * [backup-simplify]: Simplify (+ 0 0) into 0
2.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.194 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
2.196 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
2.196 * [taylor]: Taking taylor expansion of 0 in J
2.196 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.197 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.200 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.200 * [backup-simplify]: Simplify (- 0) into 0
2.201 * [backup-simplify]: Simplify (+ 0 0) into 0
2.201 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
2.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
2.202 * [backup-simplify]: Simplify (- 0) into 0
2.203 * [taylor]: Taking taylor expansion of 0 in K
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [taylor]: Taking taylor expansion of 0 in K
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.207 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.207 * [backup-simplify]: Simplify (- 0) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.209 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.209 * [taylor]: Taking taylor expansion of 0 in K
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify 0 into 0
2.210 * [backup-simplify]: Simplify (+ 0) into 0
2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.212 * [backup-simplify]: Simplify (- 0) into 0
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
2.213 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
2.213 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
2.213 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
2.213 * [taylor]: Taking taylor expansion of -2 in K
2.213 * [backup-simplify]: Simplify -2 into -2
2.213 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.213 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.213 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.213 * [taylor]: Taking taylor expansion of 1/4 in K
2.213 * [backup-simplify]: Simplify 1/4 into 1/4
2.213 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.213 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.213 * [taylor]: Taking taylor expansion of J in K
2.213 * [backup-simplify]: Simplify J into J
2.213 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.213 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.213 * [taylor]: Taking taylor expansion of U in K
2.213 * [backup-simplify]: Simplify U into U
2.213 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.214 * [taylor]: Taking taylor expansion of 1/2 in K
2.214 * [backup-simplify]: Simplify 1/2 into 1/2
2.214 * [taylor]: Taking taylor expansion of K in K
2.214 * [backup-simplify]: Simplify 0 into 0
2.214 * [backup-simplify]: Simplify 1 into 1
2.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.214 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.214 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.214 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.214 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.215 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.215 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.215 * [taylor]: Taking taylor expansion of 1 in K
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (* 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))))
2.216 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
2.216 * [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))
2.216 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.216 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.216 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.217 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.219 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.219 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.219 * [taylor]: Taking taylor expansion of 1/2 in K
2.219 * [backup-simplify]: Simplify 1/2 into 1/2
2.219 * [taylor]: Taking taylor expansion of K in K
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 1 into 1
2.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.219 * [taylor]: Taking taylor expansion of J in K
2.219 * [backup-simplify]: Simplify J into J
2.219 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.220 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
2.220 * [taylor]: Taking taylor expansion of -2 in J
2.220 * [backup-simplify]: Simplify -2 into -2
2.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
2.220 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.220 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.220 * [taylor]: Taking taylor expansion of 1/4 in J
2.220 * [backup-simplify]: Simplify 1/4 into 1/4
2.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.220 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.220 * [taylor]: Taking taylor expansion of J in J
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 1 into 1
2.220 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.220 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.220 * [taylor]: Taking taylor expansion of U in J
2.220 * [backup-simplify]: Simplify U into U
2.220 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.220 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.220 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.220 * [taylor]: Taking taylor expansion of 1/2 in J
2.220 * [backup-simplify]: Simplify 1/2 into 1/2
2.220 * [taylor]: Taking taylor expansion of K in J
2.220 * [backup-simplify]: Simplify K into K
2.220 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.220 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.220 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.221 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.221 * [backup-simplify]: Simplify (- 0) into 0
2.221 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.221 * [backup-simplify]: Simplify (* 1 1) into 1
2.222 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.222 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.222 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.222 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.222 * [taylor]: Taking taylor expansion of 1 in J
2.222 * [backup-simplify]: Simplify 1 into 1
2.223 * [backup-simplify]: Simplify (+ 0 1) into 1
2.223 * [backup-simplify]: Simplify (sqrt 1) into 1
2.223 * [backup-simplify]: Simplify (+ 0 0) into 0
2.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.224 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.224 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.224 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.224 * [taylor]: Taking taylor expansion of 1/2 in J
2.224 * [backup-simplify]: Simplify 1/2 into 1/2
2.224 * [taylor]: Taking taylor expansion of K in J
2.224 * [backup-simplify]: Simplify K into K
2.224 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.224 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.224 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.225 * [taylor]: Taking taylor expansion of J in J
2.225 * [backup-simplify]: Simplify 0 into 0
2.225 * [backup-simplify]: Simplify 1 into 1
2.225 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.225 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.225 * [backup-simplify]: Simplify (- 0) into 0
2.225 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.225 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.225 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
2.225 * [taylor]: Taking taylor expansion of -2 in U
2.225 * [backup-simplify]: Simplify -2 into -2
2.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
2.225 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.226 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.226 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.226 * [taylor]: Taking taylor expansion of 1/4 in U
2.226 * [backup-simplify]: Simplify 1/4 into 1/4
2.226 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.226 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.226 * [taylor]: Taking taylor expansion of J in U
2.226 * [backup-simplify]: Simplify J into J
2.226 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.226 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.226 * [taylor]: Taking taylor expansion of U in U
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 1 into 1
2.226 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.226 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.226 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.226 * [taylor]: Taking taylor expansion of 1/2 in U
2.226 * [backup-simplify]: Simplify 1/2 into 1/2
2.226 * [taylor]: Taking taylor expansion of K in U
2.226 * [backup-simplify]: Simplify K into K
2.226 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.226 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.226 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.227 * [backup-simplify]: Simplify (- 0) into 0
2.227 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.227 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.227 * [backup-simplify]: Simplify (* 1 1) into 1
2.227 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.227 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.228 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.228 * [taylor]: Taking taylor expansion of 1 in U
2.228 * [backup-simplify]: Simplify 1 into 1
2.228 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.228 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.228 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.228 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.229 * [backup-simplify]: Simplify (+ 0) into 0
2.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.231 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.231 * [backup-simplify]: Simplify (- 0) into 0
2.232 * [backup-simplify]: Simplify (+ 0 0) into 0
2.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.234 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.235 * [backup-simplify]: Simplify (+ 0 0) into 0
2.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.235 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.235 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.235 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.235 * [taylor]: Taking taylor expansion of 1/2 in U
2.235 * [backup-simplify]: Simplify 1/2 into 1/2
2.235 * [taylor]: Taking taylor expansion of K in U
2.235 * [backup-simplify]: Simplify K into K
2.235 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.235 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.235 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.235 * [taylor]: Taking taylor expansion of J in U
2.235 * [backup-simplify]: Simplify J into J
2.235 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.235 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.236 * [backup-simplify]: Simplify (- 0) into 0
2.236 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.236 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.236 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
2.236 * [taylor]: Taking taylor expansion of -2 in U
2.236 * [backup-simplify]: Simplify -2 into -2
2.236 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
2.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.236 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.236 * [taylor]: Taking taylor expansion of 1/4 in U
2.236 * [backup-simplify]: Simplify 1/4 into 1/4
2.236 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.236 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.236 * [taylor]: Taking taylor expansion of J in U
2.236 * [backup-simplify]: Simplify J into J
2.236 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.236 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.236 * [taylor]: Taking taylor expansion of U in U
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.236 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.237 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.237 * [taylor]: Taking taylor expansion of 1/2 in U
2.237 * [backup-simplify]: Simplify 1/2 into 1/2
2.237 * [taylor]: Taking taylor expansion of K in U
2.237 * [backup-simplify]: Simplify K into K
2.237 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.237 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.237 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.237 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.237 * [backup-simplify]: Simplify (- 0) into 0
2.237 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.237 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.238 * [backup-simplify]: Simplify (* 1 1) into 1
2.238 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.238 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.238 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.238 * [taylor]: Taking taylor expansion of 1 in U
2.238 * [backup-simplify]: Simplify 1 into 1
2.239 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.239 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.239 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.239 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.242 * [backup-simplify]: Simplify (+ 0) into 0
2.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.243 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.244 * [backup-simplify]: Simplify (- 0) into 0
2.245 * [backup-simplify]: Simplify (+ 0 0) into 0
2.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.247 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.248 * [backup-simplify]: Simplify (+ 0 0) into 0
2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.248 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.248 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.248 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.248 * [taylor]: Taking taylor expansion of 1/2 in U
2.248 * [backup-simplify]: Simplify 1/2 into 1/2
2.248 * [taylor]: Taking taylor expansion of K in U
2.248 * [backup-simplify]: Simplify K into K
2.248 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.248 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.248 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.248 * [taylor]: Taking taylor expansion of J in U
2.248 * [backup-simplify]: Simplify J into J
2.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.249 * [backup-simplify]: Simplify (- 0) into 0
2.249 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.249 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.250 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
2.250 * [backup-simplify]: Simplify (* -2 1/2) into -1
2.250 * [taylor]: Taking taylor expansion of -1 in J
2.250 * [backup-simplify]: Simplify -1 into -1
2.251 * [backup-simplify]: Simplify (+ 0) into 0
2.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.251 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.253 * [backup-simplify]: Simplify (- 0) into 0
2.253 * [backup-simplify]: Simplify (+ 0 0) into 0
2.253 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
2.253 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
2.254 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
2.254 * [taylor]: Taking taylor expansion of 0 in J
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [taylor]: Taking taylor expansion of -1 in K
2.254 * [backup-simplify]: Simplify -1 into -1
2.254 * [backup-simplify]: Simplify -1 into -1
2.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.256 * [backup-simplify]: Simplify (- 0) into 0
2.256 * [backup-simplify]: Simplify (+ 0 0) into 0
2.257 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.257 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.259 * [backup-simplify]: Simplify (- 0) into 0
2.259 * [backup-simplify]: Simplify (+ 0 0) into 0
2.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.261 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.262 * [backup-simplify]: Simplify (+ 0 1) into 1
2.263 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.263 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
2.264 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
2.264 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
2.264 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
2.264 * [taylor]: Taking taylor expansion of 2 in J
2.264 * [backup-simplify]: Simplify 2 into 2
2.264 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
2.264 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.264 * [taylor]: Taking taylor expansion of 1/2 in J
2.264 * [backup-simplify]: Simplify 1/2 into 1/2
2.264 * [taylor]: Taking taylor expansion of K in J
2.264 * [backup-simplify]: Simplify K into K
2.264 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.264 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.264 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.264 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.265 * [backup-simplify]: Simplify (- 0) into 0
2.265 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.265 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.265 * [taylor]: Taking taylor expansion of J in J
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.265 * [backup-simplify]: Simplify (* 1 1) into 1
2.265 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
2.265 * [backup-simplify]: Simplify (+ 0) into 0
2.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.267 * [backup-simplify]: Simplify (- 0) into 0
2.267 * [backup-simplify]: Simplify (+ 0 0) into 0
2.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.269 * [backup-simplify]: Simplify (- 0) into 0
2.269 * [taylor]: Taking taylor expansion of 0 in K
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [taylor]: Taking taylor expansion of 0 in K
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [taylor]: Taking taylor expansion of 0 in K
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.270 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.272 * [backup-simplify]: Simplify (- 0) into 0
2.272 * [backup-simplify]: Simplify (+ 0 0) into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.273 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.273 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.274 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.276 * [backup-simplify]: Simplify (- 0) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.277 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.278 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.280 * [backup-simplify]: Simplify (+ 0 0) into 0
2.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
2.282 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.282 * [taylor]: Taking taylor expansion of 0 in J
2.282 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.286 * [backup-simplify]: Simplify (- 0) into 0
2.286 * [backup-simplify]: Simplify (+ 0 0) into 0
2.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.290 * [backup-simplify]: Simplify (- 0) into 0
2.291 * [taylor]: Taking taylor expansion of 0 in K
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [taylor]: Taking taylor expansion of 0 in K
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
2.292 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
2.292 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
2.292 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
2.292 * [taylor]: Taking taylor expansion of 2 in K
2.292 * [backup-simplify]: Simplify 2 into 2
2.292 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
2.292 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.292 * [taylor]: Taking taylor expansion of -1/2 in K
2.292 * [backup-simplify]: Simplify -1/2 into -1/2
2.292 * [taylor]: Taking taylor expansion of K in K
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify 1 into 1
2.293 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.293 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.293 * [taylor]: Taking taylor expansion of J in K
2.293 * [backup-simplify]: Simplify J into J
2.293 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.293 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.293 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.293 * [taylor]: Taking taylor expansion of 1 in K
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.293 * [taylor]: Taking taylor expansion of 1/4 in K
2.293 * [backup-simplify]: Simplify 1/4 into 1/4
2.293 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.293 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.293 * [taylor]: Taking taylor expansion of J in K
2.293 * [backup-simplify]: Simplify J into J
2.293 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.293 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.293 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.293 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.293 * [taylor]: Taking taylor expansion of -1/2 in K
2.293 * [backup-simplify]: Simplify -1/2 into -1/2
2.293 * [taylor]: Taking taylor expansion of K in K
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 1 into 1
2.294 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.294 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.294 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.294 * [taylor]: Taking taylor expansion of U in K
2.294 * [backup-simplify]: Simplify U into U
2.294 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.294 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.294 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.294 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.295 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.295 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.295 * [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)))))
2.296 * [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))))))
2.296 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.296 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.296 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.297 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.298 * [backup-simplify]: Simplify (+ 0 0) into 0
2.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.299 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
2.299 * [taylor]: Taking taylor expansion of 2 in J
2.299 * [backup-simplify]: Simplify 2 into 2
2.299 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
2.299 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.299 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.299 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.299 * [taylor]: Taking taylor expansion of -1/2 in J
2.299 * [backup-simplify]: Simplify -1/2 into -1/2
2.299 * [taylor]: Taking taylor expansion of K in J
2.299 * [backup-simplify]: Simplify K into K
2.299 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.299 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.299 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.299 * [taylor]: Taking taylor expansion of J in J
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 1 into 1
2.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.299 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.300 * [backup-simplify]: Simplify (- 0) into 0
2.300 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.300 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.300 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.300 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.300 * [taylor]: Taking taylor expansion of 1 in J
2.300 * [backup-simplify]: Simplify 1 into 1
2.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.300 * [taylor]: Taking taylor expansion of 1/4 in J
2.300 * [backup-simplify]: Simplify 1/4 into 1/4
2.300 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.300 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.300 * [taylor]: Taking taylor expansion of J in J
2.300 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify 1 into 1
2.300 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.300 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.300 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.300 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.301 * [taylor]: Taking taylor expansion of -1/2 in J
2.301 * [backup-simplify]: Simplify -1/2 into -1/2
2.301 * [taylor]: Taking taylor expansion of K in J
2.301 * [backup-simplify]: Simplify K into K
2.301 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.301 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.301 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.301 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.301 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.301 * [backup-simplify]: Simplify (- 0) into 0
2.301 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.302 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.302 * [taylor]: Taking taylor expansion of U in J
2.302 * [backup-simplify]: Simplify U into U
2.302 * [backup-simplify]: Simplify (* 1 1) into 1
2.302 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.302 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.302 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.303 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.303 * [backup-simplify]: Simplify (+ 1 0) into 1
2.303 * [backup-simplify]: Simplify (sqrt 1) into 1
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.305 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
2.305 * [taylor]: Taking taylor expansion of 2 in U
2.305 * [backup-simplify]: Simplify 2 into 2
2.305 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
2.305 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.305 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.305 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.305 * [taylor]: Taking taylor expansion of -1/2 in U
2.305 * [backup-simplify]: Simplify -1/2 into -1/2
2.305 * [taylor]: Taking taylor expansion of K in U
2.305 * [backup-simplify]: Simplify K into K
2.305 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.305 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.305 * [taylor]: Taking taylor expansion of J in U
2.305 * [backup-simplify]: Simplify J into J
2.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.305 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.306 * [backup-simplify]: Simplify (- 0) into 0
2.306 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.306 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.306 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.306 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.306 * [taylor]: Taking taylor expansion of 1 in U
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.306 * [taylor]: Taking taylor expansion of 1/4 in U
2.306 * [backup-simplify]: Simplify 1/4 into 1/4
2.306 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.306 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.306 * [taylor]: Taking taylor expansion of J in U
2.306 * [backup-simplify]: Simplify J into J
2.306 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.306 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.306 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.306 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.306 * [taylor]: Taking taylor expansion of -1/2 in U
2.307 * [backup-simplify]: Simplify -1/2 into -1/2
2.307 * [taylor]: Taking taylor expansion of K in U
2.307 * [backup-simplify]: Simplify K into K
2.307 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.307 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.307 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.307 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.307 * [backup-simplify]: Simplify (- 0) into 0
2.307 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.307 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.308 * [taylor]: Taking taylor expansion of U in U
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 1 into 1
2.308 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.308 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.308 * [backup-simplify]: Simplify (* 1 1) into 1
2.308 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.308 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.309 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.309 * [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)))
2.309 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.309 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.310 * [backup-simplify]: Simplify (+ 0) into 0
2.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.313 * [backup-simplify]: Simplify (- 0) into 0
2.313 * [backup-simplify]: Simplify (+ 0 0) into 0
2.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.314 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.314 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.316 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
2.316 * [taylor]: Taking taylor expansion of 2 in U
2.316 * [backup-simplify]: Simplify 2 into 2
2.316 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
2.316 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.316 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.316 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.316 * [taylor]: Taking taylor expansion of -1/2 in U
2.316 * [backup-simplify]: Simplify -1/2 into -1/2
2.316 * [taylor]: Taking taylor expansion of K in U
2.316 * [backup-simplify]: Simplify K into K
2.316 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.316 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.316 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.316 * [taylor]: Taking taylor expansion of J in U
2.316 * [backup-simplify]: Simplify J into J
2.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.316 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.317 * [backup-simplify]: Simplify (- 0) into 0
2.317 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.317 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.317 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.317 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.317 * [taylor]: Taking taylor expansion of 1 in U
2.317 * [backup-simplify]: Simplify 1 into 1
2.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.317 * [taylor]: Taking taylor expansion of 1/4 in U
2.317 * [backup-simplify]: Simplify 1/4 into 1/4
2.317 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.317 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.317 * [taylor]: Taking taylor expansion of J in U
2.317 * [backup-simplify]: Simplify J into J
2.317 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.317 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.317 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.317 * [taylor]: Taking taylor expansion of -1/2 in U
2.317 * [backup-simplify]: Simplify -1/2 into -1/2
2.318 * [taylor]: Taking taylor expansion of K in U
2.318 * [backup-simplify]: Simplify K into K
2.318 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.318 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.318 * [backup-simplify]: Simplify (- 0) into 0
2.318 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.318 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.318 * [taylor]: Taking taylor expansion of U in U
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 1 into 1
2.319 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.319 * [backup-simplify]: Simplify (* 1 1) into 1
2.319 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.319 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.320 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.320 * [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)))
2.320 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.320 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.322 * [backup-simplify]: Simplify (+ 0) into 0
2.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.322 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.324 * [backup-simplify]: Simplify (- 0) into 0
2.324 * [backup-simplify]: Simplify (+ 0 0) into 0
2.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.325 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.325 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.327 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
2.328 * [backup-simplify]: Simplify (* 2 1/2) into 1
2.328 * [taylor]: Taking taylor expansion of 1 in J
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [backup-simplify]: Simplify (+ 0) into 0
2.329 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.329 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.330 * [backup-simplify]: Simplify (- 0) into 0
2.331 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
2.331 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.332 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
2.332 * [taylor]: Taking taylor expansion of 0 in J
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [taylor]: Taking taylor expansion of 1 in K
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.335 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.336 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.336 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.337 * [backup-simplify]: Simplify (- 0) into 0
2.338 * [backup-simplify]: Simplify (+ 0 0) into 0
2.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.339 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.340 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.341 * [backup-simplify]: Simplify (+ 1 0) into 1
2.342 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.346 * [backup-simplify]: Simplify (- 0) into 0
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.347 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.347 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
2.348 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
2.348 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
2.348 * [taylor]: Taking taylor expansion of 2 in J
2.348 * [backup-simplify]: Simplify 2 into 2
2.348 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
2.348 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.348 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.348 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.349 * [taylor]: Taking taylor expansion of -1/2 in J
2.349 * [backup-simplify]: Simplify -1/2 into -1/2
2.349 * [taylor]: Taking taylor expansion of K in J
2.349 * [backup-simplify]: Simplify K into K
2.349 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.349 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.349 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.349 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.349 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.349 * [backup-simplify]: Simplify (- 0) into 0
2.349 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.350 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.350 * [taylor]: Taking taylor expansion of J in J
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 1 into 1
2.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.350 * [backup-simplify]: Simplify (* 1 1) into 1
2.350 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.351 * [backup-simplify]: Simplify (+ 0) into 0
2.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.353 * [backup-simplify]: Simplify (- 0) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
2.356 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
2.356 * [taylor]: Taking taylor expansion of 0 in K
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [taylor]: Taking taylor expansion of 0 in K
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [taylor]: Taking taylor expansion of 0 in K
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.359 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.363 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.363 * [backup-simplify]: Simplify (- 0) into 0
2.363 * [backup-simplify]: Simplify (+ 0 0) into 0
2.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.365 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.368 * [backup-simplify]: Simplify (+ 0 0) into 0
2.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.370 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.375 * [backup-simplify]: Simplify (- 0) into 0
2.375 * [backup-simplify]: Simplify (+ 0 0) into 0
2.376 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.376 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
2.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.378 * [taylor]: Taking taylor expansion of 0 in J
2.378 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.381 * [backup-simplify]: Simplify (- 0) into 0
2.382 * [backup-simplify]: Simplify (+ 0 0) into 0
2.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
2.386 * [taylor]: Taking taylor expansion of 0 in K
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [taylor]: Taking taylor expansion of 0 in K
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
2.386 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
2.387 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.387 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
2.387 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.387 * [taylor]: Taking taylor expansion of 1/4 in K
2.387 * [backup-simplify]: Simplify 1/4 into 1/4
2.387 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.387 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.387 * [taylor]: Taking taylor expansion of U in K
2.387 * [backup-simplify]: Simplify U into U
2.387 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.387 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.387 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.387 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.387 * [taylor]: Taking taylor expansion of 1/2 in K
2.387 * [backup-simplify]: Simplify 1/2 into 1/2
2.387 * [taylor]: Taking taylor expansion of K in K
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.388 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.388 * [taylor]: Taking taylor expansion of J in K
2.388 * [backup-simplify]: Simplify J into J
2.388 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.389 * [backup-simplify]: Simplify (* 1 1) into 1
2.389 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.389 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.389 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.389 * [taylor]: Taking taylor expansion of 1/4 in J
2.389 * [backup-simplify]: Simplify 1/4 into 1/4
2.389 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.389 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.389 * [taylor]: Taking taylor expansion of U in J
2.389 * [backup-simplify]: Simplify U into U
2.389 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.389 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.389 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.389 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.389 * [taylor]: Taking taylor expansion of 1/2 in J
2.389 * [backup-simplify]: Simplify 1/2 into 1/2
2.390 * [taylor]: Taking taylor expansion of K in J
2.390 * [backup-simplify]: Simplify K into K
2.390 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.390 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.390 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.390 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.390 * [backup-simplify]: Simplify (- 0) into 0
2.390 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.390 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.390 * [taylor]: Taking taylor expansion of J in J
2.390 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.391 * [backup-simplify]: Simplify (* 1 1) into 1
2.392 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.392 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.392 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.392 * [taylor]: Taking taylor expansion of 1/4 in U
2.392 * [backup-simplify]: Simplify 1/4 into 1/4
2.392 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.392 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.392 * [taylor]: Taking taylor expansion of U in U
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.392 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.392 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.392 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.392 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.392 * [taylor]: Taking taylor expansion of 1/2 in U
2.392 * [backup-simplify]: Simplify 1/2 into 1/2
2.392 * [taylor]: Taking taylor expansion of K in U
2.392 * [backup-simplify]: Simplify K into K
2.392 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.392 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.392 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.393 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.393 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.393 * [backup-simplify]: Simplify (- 0) into 0
2.393 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.393 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.393 * [taylor]: Taking taylor expansion of J in U
2.393 * [backup-simplify]: Simplify J into J
2.394 * [backup-simplify]: Simplify (* 1 1) into 1
2.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.394 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.394 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.394 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.394 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.394 * [taylor]: Taking taylor expansion of 1/4 in U
2.394 * [backup-simplify]: Simplify 1/4 into 1/4
2.394 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.394 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.394 * [taylor]: Taking taylor expansion of U in U
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 1 into 1
2.394 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.394 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.395 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.395 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.395 * [taylor]: Taking taylor expansion of 1/2 in U
2.395 * [backup-simplify]: Simplify 1/2 into 1/2
2.395 * [taylor]: Taking taylor expansion of K in U
2.395 * [backup-simplify]: Simplify K into K
2.395 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.395 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.395 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.395 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.396 * [backup-simplify]: Simplify (- 0) into 0
2.396 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.396 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.396 * [taylor]: Taking taylor expansion of J in U
2.396 * [backup-simplify]: Simplify J into J
2.396 * [backup-simplify]: Simplify (* 1 1) into 1
2.396 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.396 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.397 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.397 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.397 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.397 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.397 * [taylor]: Taking taylor expansion of 1/4 in J
2.397 * [backup-simplify]: Simplify 1/4 into 1/4
2.397 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.397 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.397 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.397 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.397 * [taylor]: Taking taylor expansion of 1/2 in J
2.397 * [backup-simplify]: Simplify 1/2 into 1/2
2.397 * [taylor]: Taking taylor expansion of K in J
2.397 * [backup-simplify]: Simplify K into K
2.398 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.398 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.398 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.398 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.398 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.398 * [backup-simplify]: Simplify (- 0) into 0
2.398 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.398 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.398 * [taylor]: Taking taylor expansion of J in J
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.399 * [backup-simplify]: Simplify (* 1 1) into 1
2.399 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.399 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
2.399 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
2.399 * [taylor]: Taking taylor expansion of 1/4 in K
2.399 * [backup-simplify]: Simplify 1/4 into 1/4
2.399 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.399 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.399 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.399 * [taylor]: Taking taylor expansion of 1/2 in K
2.399 * [backup-simplify]: Simplify 1/2 into 1/2
2.399 * [taylor]: Taking taylor expansion of K in K
2.400 * [backup-simplify]: Simplify 0 into 0
2.400 * [backup-simplify]: Simplify 1 into 1
2.400 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.401 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.401 * [backup-simplify]: Simplify (* 1 1) into 1
2.402 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.402 * [backup-simplify]: Simplify 1/4 into 1/4
2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.403 * [backup-simplify]: Simplify (+ 0) into 0
2.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.405 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.406 * [backup-simplify]: Simplify (- 0) into 0
2.406 * [backup-simplify]: Simplify (+ 0 0) into 0
2.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.406 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.407 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.408 * [taylor]: Taking taylor expansion of 0 in J
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.409 * [backup-simplify]: Simplify (+ 0) into 0
2.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.410 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.410 * [backup-simplify]: Simplify (- 0) into 0
2.411 * [backup-simplify]: Simplify (+ 0 0) into 0
2.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.411 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.411 * [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
2.411 * [taylor]: Taking taylor expansion of 0 in K
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify (+ 0) into 0
2.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.413 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.414 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.415 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.416 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.416 * [backup-simplify]: Simplify (- 0) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.417 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
2.417 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.418 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.418 * [taylor]: Taking taylor expansion of 0 in J
2.418 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.420 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.421 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.421 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.421 * [backup-simplify]: Simplify (- 0) into 0
2.422 * [backup-simplify]: Simplify (+ 0 0) into 0
2.422 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.422 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.423 * [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
2.423 * [taylor]: Taking taylor expansion of 0 in K
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
2.424 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
2.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
2.425 * [backup-simplify]: Simplify 1/16 into 1/16
2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.426 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.426 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.429 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.429 * [backup-simplify]: Simplify (- 0) into 0
2.430 * [backup-simplify]: Simplify (+ 0 0) into 0
2.430 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.431 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
2.431 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
2.432 * [taylor]: Taking taylor expansion of 0 in J
2.432 * [backup-simplify]: Simplify 0 into 0
2.432 * [taylor]: Taking taylor expansion of 0 in K
2.432 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.436 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.436 * [backup-simplify]: Simplify (- 0) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.437 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.438 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.438 * [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
2.438 * [taylor]: Taking taylor expansion of 0 in K
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.439 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
2.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.443 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
2.444 * [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
2.445 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
2.447 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.447 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
2.448 * [backup-simplify]: Simplify (- 0) into 0
2.448 * [backup-simplify]: Simplify (+ 0 0) into 0
2.449 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
2.450 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
2.450 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0
2.451 * [taylor]: Taking taylor expansion of 0 in J
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [taylor]: Taking taylor expansion of 0 in K
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.452 * [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))))
2.452 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.452 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
2.452 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.452 * [taylor]: Taking taylor expansion of 1/4 in K
2.452 * [backup-simplify]: Simplify 1/4 into 1/4
2.452 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.452 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.452 * [taylor]: Taking taylor expansion of J in K
2.452 * [backup-simplify]: Simplify J into J
2.452 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.452 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.452 * [taylor]: Taking taylor expansion of U in K
2.452 * [backup-simplify]: Simplify U into U
2.452 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.452 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.452 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.452 * [taylor]: Taking taylor expansion of 1/2 in K
2.452 * [backup-simplify]: Simplify 1/2 into 1/2
2.452 * [taylor]: Taking taylor expansion of K in K
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.453 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.453 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.453 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.453 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.453 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.453 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.453 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.453 * [taylor]: Taking taylor expansion of 1/4 in J
2.453 * [backup-simplify]: Simplify 1/4 into 1/4
2.453 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.453 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.453 * [taylor]: Taking taylor expansion of J in J
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 1 into 1
2.453 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.453 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.453 * [taylor]: Taking taylor expansion of U in J
2.453 * [backup-simplify]: Simplify U into U
2.453 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.453 * [taylor]: Taking taylor expansion of 1/2 in J
2.453 * [backup-simplify]: Simplify 1/2 into 1/2
2.453 * [taylor]: Taking taylor expansion of K in J
2.453 * [backup-simplify]: Simplify K into K
2.453 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.453 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.454 * [backup-simplify]: Simplify (- 0) into 0
2.454 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.454 * [backup-simplify]: Simplify (* 1 1) into 1
2.454 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.454 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.454 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.455 * [taylor]: Taking taylor expansion of 1/4 in U
2.455 * [backup-simplify]: Simplify 1/4 into 1/4
2.455 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.455 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.455 * [taylor]: Taking taylor expansion of J in U
2.455 * [backup-simplify]: Simplify J into J
2.455 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.455 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.455 * [taylor]: Taking taylor expansion of U in U
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.455 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.455 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.455 * [taylor]: Taking taylor expansion of 1/2 in U
2.455 * [backup-simplify]: Simplify 1/2 into 1/2
2.455 * [taylor]: Taking taylor expansion of K in U
2.455 * [backup-simplify]: Simplify K into K
2.455 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.455 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.455 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.455 * [backup-simplify]: Simplify (- 0) into 0
2.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.455 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.456 * [backup-simplify]: Simplify (* 1 1) into 1
2.456 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.456 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.456 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.456 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.456 * [taylor]: Taking taylor expansion of 1/4 in U
2.456 * [backup-simplify]: Simplify 1/4 into 1/4
2.456 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.456 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.456 * [taylor]: Taking taylor expansion of J in U
2.456 * [backup-simplify]: Simplify J into J
2.456 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.456 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.456 * [taylor]: Taking taylor expansion of U in U
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.456 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.456 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.456 * [taylor]: Taking taylor expansion of 1/2 in U
2.456 * [backup-simplify]: Simplify 1/2 into 1/2
2.456 * [taylor]: Taking taylor expansion of K in U
2.456 * [backup-simplify]: Simplify K into K
2.456 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.456 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.456 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.456 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.456 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.457 * [backup-simplify]: Simplify (- 0) into 0
2.457 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.457 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.457 * [backup-simplify]: Simplify (* 1 1) into 1
2.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.457 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.458 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.458 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.458 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
2.458 * [taylor]: Taking taylor expansion of 1/4 in J
2.458 * [backup-simplify]: Simplify 1/4 into 1/4
2.458 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
2.458 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.458 * [taylor]: Taking taylor expansion of J in J
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.458 * [taylor]: Taking taylor expansion of 1/2 in J
2.458 * [backup-simplify]: Simplify 1/2 into 1/2
2.458 * [taylor]: Taking taylor expansion of K in J
2.458 * [backup-simplify]: Simplify K into K
2.458 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.458 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.459 * [backup-simplify]: Simplify (- 0) into 0
2.459 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.460 * [backup-simplify]: Simplify (* 1 1) into 1
2.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.460 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
2.460 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.460 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
2.460 * [taylor]: Taking taylor expansion of 1/4 in K
2.460 * [backup-simplify]: Simplify 1/4 into 1/4
2.460 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.460 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.460 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.460 * [taylor]: Taking taylor expansion of 1/2 in K
2.460 * [backup-simplify]: Simplify 1/2 into 1/2
2.460 * [taylor]: Taking taylor expansion of K in K
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.461 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.461 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.461 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.461 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.462 * [backup-simplify]: Simplify (+ 0) into 0
2.462 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.464 * [backup-simplify]: Simplify (- 0) into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.466 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.467 * [taylor]: Taking taylor expansion of 0 in J
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [taylor]: Taking taylor expansion of 0 in K
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.468 * [backup-simplify]: Simplify (+ 0) into 0
2.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.470 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.471 * [backup-simplify]: Simplify (- 0) into 0
2.471 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.472 * [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
2.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
2.472 * [taylor]: Taking taylor expansion of 0 in K
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.473 * [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
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.474 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.476 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.477 * [backup-simplify]: Simplify (- 0) into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.480 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.481 * [taylor]: Taking taylor expansion of 0 in J
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [taylor]: Taking taylor expansion of 0 in K
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [taylor]: Taking taylor expansion of 0 in K
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.486 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.486 * [backup-simplify]: Simplify (- 0) into 0
2.487 * [backup-simplify]: Simplify (+ 0 0) into 0
2.487 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.488 * [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
2.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
2.489 * [taylor]: Taking taylor expansion of 0 in K
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [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))))
2.490 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.490 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
2.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.490 * [taylor]: Taking taylor expansion of 1/4 in K
2.490 * [backup-simplify]: Simplify 1/4 into 1/4
2.490 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.490 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.490 * [taylor]: Taking taylor expansion of J in K
2.490 * [backup-simplify]: Simplify J into J
2.490 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.490 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.490 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.490 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.490 * [taylor]: Taking taylor expansion of -1/2 in K
2.490 * [backup-simplify]: Simplify -1/2 into -1/2
2.490 * [taylor]: Taking taylor expansion of K in K
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.493 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.493 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.493 * [taylor]: Taking taylor expansion of U in K
2.493 * [backup-simplify]: Simplify U into U
2.493 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.493 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.493 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.494 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.494 * [taylor]: Taking taylor expansion of 1/4 in J
2.494 * [backup-simplify]: Simplify 1/4 into 1/4
2.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.494 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.494 * [taylor]: Taking taylor expansion of J in J
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.494 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.494 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.494 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.494 * [taylor]: Taking taylor expansion of -1/2 in J
2.494 * [backup-simplify]: Simplify -1/2 into -1/2
2.494 * [taylor]: Taking taylor expansion of K in J
2.494 * [backup-simplify]: Simplify K into K
2.494 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.494 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.494 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.494 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.495 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.495 * [backup-simplify]: Simplify (- 0) into 0
2.495 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.495 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.495 * [taylor]: Taking taylor expansion of U in J
2.495 * [backup-simplify]: Simplify U into U
2.496 * [backup-simplify]: Simplify (* 1 1) into 1
2.496 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.496 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.496 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.496 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.496 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.496 * [taylor]: Taking taylor expansion of 1/4 in U
2.496 * [backup-simplify]: Simplify 1/4 into 1/4
2.497 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.497 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.497 * [taylor]: Taking taylor expansion of J in U
2.497 * [backup-simplify]: Simplify J into J
2.497 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.497 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.497 * [taylor]: Taking taylor expansion of -1/2 in U
2.497 * [backup-simplify]: Simplify -1/2 into -1/2
2.497 * [taylor]: Taking taylor expansion of K in U
2.497 * [backup-simplify]: Simplify K into K
2.497 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.497 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.497 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.497 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.497 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.498 * [backup-simplify]: Simplify (- 0) into 0
2.498 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.498 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.498 * [taylor]: Taking taylor expansion of U in U
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.498 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.498 * [backup-simplify]: Simplify (* 1 1) into 1
2.499 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.499 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.499 * [taylor]: Taking taylor expansion of 1/4 in U
2.499 * [backup-simplify]: Simplify 1/4 into 1/4
2.499 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.499 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.499 * [taylor]: Taking taylor expansion of J in U
2.499 * [backup-simplify]: Simplify J into J
2.499 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.499 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.499 * [taylor]: Taking taylor expansion of -1/2 in U
2.499 * [backup-simplify]: Simplify -1/2 into -1/2
2.499 * [taylor]: Taking taylor expansion of K in U
2.499 * [backup-simplify]: Simplify K into K
2.499 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.499 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.499 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.499 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.500 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.500 * [backup-simplify]: Simplify (- 0) into 0
2.500 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.500 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.500 * [taylor]: Taking taylor expansion of U in U
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 1 into 1
2.500 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.500 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.501 * [backup-simplify]: Simplify (* 1 1) into 1
2.501 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.501 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.501 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
2.501 * [taylor]: Taking taylor expansion of 1/4 in J
2.501 * [backup-simplify]: Simplify 1/4 into 1/4
2.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
2.501 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.502 * [taylor]: Taking taylor expansion of J in J
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.502 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.502 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.502 * [taylor]: Taking taylor expansion of -1/2 in J
2.502 * [backup-simplify]: Simplify -1/2 into -1/2
2.502 * [taylor]: Taking taylor expansion of K in J
2.502 * [backup-simplify]: Simplify K into K
2.502 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.502 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.502 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.502 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.502 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.503 * [backup-simplify]: Simplify (- 0) into 0
2.503 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.503 * [backup-simplify]: Simplify (* 1 1) into 1
2.503 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.503 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
2.503 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.504 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
2.504 * [taylor]: Taking taylor expansion of 1/4 in K
2.504 * [backup-simplify]: Simplify 1/4 into 1/4
2.504 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.504 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.504 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.504 * [taylor]: Taking taylor expansion of -1/2 in K
2.504 * [backup-simplify]: Simplify -1/2 into -1/2
2.504 * [taylor]: Taking taylor expansion of K in K
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.505 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.505 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.505 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.506 * [backup-simplify]: Simplify (+ 0) into 0
2.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.507 * [backup-simplify]: Simplify (- 0) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.508 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.508 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.508 * [taylor]: Taking taylor expansion of 0 in J
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [taylor]: Taking taylor expansion of 0 in K
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.509 * [backup-simplify]: Simplify (+ 0) into 0
2.509 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.510 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.511 * [backup-simplify]: Simplify (- 0) into 0
2.511 * [backup-simplify]: Simplify (+ 0 0) into 0
2.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.511 * [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
2.511 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
2.511 * [taylor]: Taking taylor expansion of 0 in K
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.512 * [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
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.514 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.515 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.515 * [backup-simplify]: Simplify (- 0) into 0
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.516 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.517 * [taylor]: Taking taylor expansion of 0 in J
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [taylor]: Taking taylor expansion of 0 in K
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [taylor]: Taking taylor expansion of 0 in K
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.520 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.520 * [backup-simplify]: Simplify (- 0) into 0
2.520 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.521 * [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
2.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
2.521 * [taylor]: Taking taylor expansion of 0 in K
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.522 * [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))))
2.522 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2)
2.522 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
2.522 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
2.522 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
2.522 * [taylor]: Taking taylor expansion of 2 in K
2.522 * [backup-simplify]: Simplify 2 into 2
2.522 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.522 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.522 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.522 * [taylor]: Taking taylor expansion of 1/2 in K
2.522 * [backup-simplify]: Simplify 1/2 into 1/2
2.522 * [taylor]: Taking taylor expansion of K in K
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.523 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.523 * [taylor]: Taking taylor expansion of J in K
2.523 * [backup-simplify]: Simplify J into J
2.523 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.523 * [taylor]: Taking taylor expansion of 2 in J
2.523 * [backup-simplify]: Simplify 2 into 2
2.523 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.523 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.523 * [taylor]: Taking taylor expansion of 1/2 in J
2.523 * [backup-simplify]: Simplify 1/2 into 1/2
2.523 * [taylor]: Taking taylor expansion of K in J
2.523 * [backup-simplify]: Simplify K into K
2.523 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.523 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.523 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.523 * [taylor]: Taking taylor expansion of J in J
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.523 * [taylor]: Taking taylor expansion of 2 in J
2.523 * [backup-simplify]: Simplify 2 into 2
2.523 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.523 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.523 * [taylor]: Taking taylor expansion of 1/2 in J
2.523 * [backup-simplify]: Simplify 1/2 into 1/2
2.523 * [taylor]: Taking taylor expansion of K in J
2.523 * [backup-simplify]: Simplify K into K
2.523 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.523 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.523 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.523 * [taylor]: Taking taylor expansion of J in J
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.523 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.524 * [backup-simplify]: Simplify (- 0) into 0
2.524 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.524 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.524 * [backup-simplify]: Simplify (* 2 0) into 0
2.524 * [taylor]: Taking taylor expansion of 0 in K
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify (+ 0) into 0
2.525 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.526 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.526 * [backup-simplify]: Simplify (- 0) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.527 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.527 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
2.527 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.527 * [taylor]: Taking taylor expansion of 2 in K
2.527 * [backup-simplify]: Simplify 2 into 2
2.527 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.527 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.527 * [taylor]: Taking taylor expansion of 1/2 in K
2.527 * [backup-simplify]: Simplify 1/2 into 1/2
2.527 * [taylor]: Taking taylor expansion of K in K
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify 1 into 1
2.527 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.528 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.528 * [backup-simplify]: Simplify (* 2 1) into 2
2.528 * [backup-simplify]: Simplify 2 into 2
2.528 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.531 * [backup-simplify]: Simplify (- 0) into 0
2.531 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.532 * [taylor]: Taking taylor expansion of 0 in K
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify (+ 0) into 0
2.533 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.534 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.536 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.536 * [backup-simplify]: Simplify (- 0) into 0
2.537 * [backup-simplify]: Simplify (+ 0 0) into 0
2.537 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
2.538 * [taylor]: Taking taylor expansion of 0 in K
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
2.538 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
2.538 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
2.538 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
2.538 * [taylor]: Taking taylor expansion of 2 in K
2.538 * [backup-simplify]: Simplify 2 into 2
2.538 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.538 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.538 * [taylor]: Taking taylor expansion of 1/2 in K
2.538 * [backup-simplify]: Simplify 1/2 into 1/2
2.538 * [taylor]: Taking taylor expansion of K in K
2.538 * [backup-simplify]: Simplify 0 into 0
2.539 * [backup-simplify]: Simplify 1 into 1
2.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.539 * [taylor]: Taking taylor expansion of J in K
2.539 * [backup-simplify]: Simplify J into J
2.539 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.539 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.539 * [taylor]: Taking taylor expansion of 2 in J
2.539 * [backup-simplify]: Simplify 2 into 2
2.539 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.539 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.539 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.539 * [taylor]: Taking taylor expansion of 1/2 in J
2.539 * [backup-simplify]: Simplify 1/2 into 1/2
2.539 * [taylor]: Taking taylor expansion of K in J
2.539 * [backup-simplify]: Simplify K into K
2.539 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.539 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.539 * [taylor]: Taking taylor expansion of J in J
2.539 * [backup-simplify]: Simplify 0 into 0
2.539 * [backup-simplify]: Simplify 1 into 1
2.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.539 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.540 * [backup-simplify]: Simplify (- 0) into 0
2.540 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.540 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.540 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.540 * [taylor]: Taking taylor expansion of 2 in J
2.540 * [backup-simplify]: Simplify 2 into 2
2.540 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.540 * [taylor]: Taking taylor expansion of 1/2 in J
2.540 * [backup-simplify]: Simplify 1/2 into 1/2
2.540 * [taylor]: Taking taylor expansion of K in J
2.540 * [backup-simplify]: Simplify K into K
2.540 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.540 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.540 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.540 * [taylor]: Taking taylor expansion of J in J
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 1 into 1
2.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.540 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.541 * [backup-simplify]: Simplify (- 0) into 0
2.541 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.541 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.541 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.541 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
2.541 * [taylor]: Taking taylor expansion of 2 in K
2.541 * [backup-simplify]: Simplify 2 into 2
2.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.541 * [taylor]: Taking taylor expansion of 1/2 in K
2.541 * [backup-simplify]: Simplify 1/2 into 1/2
2.541 * [taylor]: Taking taylor expansion of K in K
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 1 into 1
2.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.542 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.542 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.542 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.542 * [backup-simplify]: Simplify (+ 0) into 0
2.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.543 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.543 * [backup-simplify]: Simplify (- 0) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.545 * [taylor]: Taking taylor expansion of 0 in K
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.547 * [backup-simplify]: Simplify (- 0) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.549 * [taylor]: Taking taylor expansion of 0 in K
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.550 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.552 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.553 * [backup-simplify]: Simplify (- 0) into 0
2.553 * [backup-simplify]: Simplify (+ 0 0) into 0
2.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.556 * [taylor]: Taking taylor expansion of 0 in K
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
2.557 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
2.557 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
2.557 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
2.557 * [taylor]: Taking taylor expansion of -2 in K
2.557 * [backup-simplify]: Simplify -2 into -2
2.557 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.557 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.557 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.557 * [taylor]: Taking taylor expansion of -1/2 in K
2.557 * [backup-simplify]: Simplify -1/2 into -1/2
2.557 * [taylor]: Taking taylor expansion of K in K
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.558 * [taylor]: Taking taylor expansion of J in K
2.558 * [backup-simplify]: Simplify J into J
2.558 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.558 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.558 * [taylor]: Taking taylor expansion of -2 in J
2.558 * [backup-simplify]: Simplify -2 into -2
2.558 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.558 * [taylor]: Taking taylor expansion of -1/2 in J
2.558 * [backup-simplify]: Simplify -1/2 into -1/2
2.558 * [taylor]: Taking taylor expansion of K in J
2.558 * [backup-simplify]: Simplify K into K
2.558 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.558 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.558 * [taylor]: Taking taylor expansion of J in J
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.559 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.559 * [backup-simplify]: Simplify (- 0) into 0
2.559 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.559 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.559 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.559 * [taylor]: Taking taylor expansion of -2 in J
2.559 * [backup-simplify]: Simplify -2 into -2
2.559 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.559 * [taylor]: Taking taylor expansion of -1/2 in J
2.559 * [backup-simplify]: Simplify -1/2 into -1/2
2.559 * [taylor]: Taking taylor expansion of K in J
2.559 * [backup-simplify]: Simplify K into K
2.560 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.560 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.560 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.560 * [taylor]: Taking taylor expansion of J in J
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.560 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.560 * [backup-simplify]: Simplify (- 0) into 0
2.561 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.561 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.561 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.561 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
2.561 * [taylor]: Taking taylor expansion of -2 in K
2.561 * [backup-simplify]: Simplify -2 into -2
2.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.561 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.561 * [taylor]: Taking taylor expansion of -1/2 in K
2.561 * [backup-simplify]: Simplify -1/2 into -1/2
2.561 * [taylor]: Taking taylor expansion of K in K
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 1 into 1
2.562 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.562 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.562 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.562 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.562 * [backup-simplify]: Simplify (+ 0) into 0
2.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.565 * [backup-simplify]: Simplify (- 0) into 0
2.565 * [backup-simplify]: Simplify (+ 0 0) into 0
2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.567 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.567 * [taylor]: Taking taylor expansion of 0 in K
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.569 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.569 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.571 * [backup-simplify]: Simplify (- 0) into 0
2.572 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.574 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.574 * [taylor]: Taking taylor expansion of 0 in K
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.575 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.580 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.580 * [backup-simplify]: Simplify (- 0) into 0
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.583 * [taylor]: Taking taylor expansion of 0 in K
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
2.584 * * * [progress]: simplifying candidates
2.584 * * * * [progress]: [ 1 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 2 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 3 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 4 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 5 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 6 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 7 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 8 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 9 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 10 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))>
2.584 * * * * [progress]: [ 11 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.585 * * * * [progress]: [ 12 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))>
2.585 * * * * [progress]: [ 13 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.585 * * * * [progress]: [ 14 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.585 * * * * [progress]: [ 15 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.585 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.585 * * * * [progress]: [ 17 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.585 * * * * [progress]: [ 18 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.585 * * * * [progress]: [ 19 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.585 * * * * [progress]: [ 20 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.585 * * * * [progress]: [ 21 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))>
2.585 * * * * [progress]: [ 22 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))))>
2.585 * * * * [progress]: [ 23 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))>
2.585 * * * * [progress]: [ 24 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.585 * * * * [progress]: [ 25 / 145 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.585 * * * * [progress]: [ 26 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))>
2.586 * * * * [progress]: [ 27 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))>
2.586 * * * * [progress]: [ 28 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ 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))) (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))))))>
2.586 * * * * [progress]: [ 29 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.586 * * * * [progress]: [ 30 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.586 * * * * [progress]: [ 31 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.586 * * * * [progress]: [ 32 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 33 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
2.586 * * * * [progress]: [ 34 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 35 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 36 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 37 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt 1) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 38 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 39 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
2.586 * * * * [progress]: [ 40 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
2.587 * * * * [progress]: [ 41 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
2.587 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.587 * * * * [progress]: [ 43 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
2.587 * * * * [progress]: [ 44 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 45 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 46 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 47 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 48 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 49 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 50 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 51 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 52 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 53 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 54 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.587 * * * * [progress]: [ 55 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 56 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 57 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 58 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 59 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 60 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 61 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 62 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 63 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 64 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 65 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 66 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (log (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 67 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.588 * * * * [progress]: [ 68 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 69 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 70 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 71 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 72 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 73 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 74 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 75 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 76 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 77 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 78 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 79 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 80 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.589 * * * * [progress]: [ 81 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 82 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 83 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 84 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 85 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 86 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U U) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 87 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 88 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 89 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 90 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 91 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ (sqrt U) (* J 2)) (/ (sqrt U) (* J 2))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 92 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ 1 (* J 2)) (/ 1 (* J 2))) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 93 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* 1 1) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 94 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* U U) (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ 1 (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.590 * * * * [progress]: [ 95 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 96 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (* 2 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 97 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 98 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 99 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2))) (/ (cbrt U) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 100 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) (* J 2))) (/ (sqrt U) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 101 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 (* J 2))) (/ U (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 102 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) 1) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 103 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (/ 1 (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 104 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 105 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 106 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (* (/ (cbrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 107 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (sqrt U) (* J 2)) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 108 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ 1 (* J 2)) (* (/ U (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 109 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.591 * * * * [progress]: [ 110 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* U (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 111 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 112 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (posit16->real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 114 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 115 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 116 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 117 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 118 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 119 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 120 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 121 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (log (exp (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 122 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 123 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 124 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.592 * * * * [progress]: [ 125 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 126 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 127 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 1 (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 128 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 129 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 130 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) 1) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 131 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 133 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (cos (/ K 2)) (* J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 134 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 135 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 136 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 137 / 145 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
2.593 * * * * [progress]: [ 138 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
2.593 * * * * [progress]: [ 139 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
2.593 * * * * [progress]: [ 140 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 141 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.593 * * * * [progress]: [ 142 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.594 * * * * [progress]: [ 143 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.594 * * * * [progress]: [ 144 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.594 * * * * [progress]: [ 145 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.596 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ 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)) (sqrt (+ (* (/ 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)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ 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)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
  (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))
  (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ 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))) (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))))
  (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
  (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
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2.604 * * [simplify]: iteration 1: (231 enodes)
2.702 * * [simplify]: iteration 2: (664 enodes)
3.317 * * [simplify]: Extracting #0: cost 86 inf + 0
3.319 * * [simplify]: Extracting #1: cost 704 inf + 3
3.323 * * [simplify]: Extracting #2: cost 1003 inf + 8560
3.333 * * [simplify]: Extracting #3: cost 861 inf + 30617
3.351 * * [simplify]: Extracting #4: cost 789 inf + 41332
3.386 * * [simplify]: Extracting #5: cost 554 inf + 106409
3.459 * * [simplify]: Extracting #6: cost 213 inf + 232507
3.519 * * [simplify]: Extracting #7: cost 65 inf + 295437
3.617 * * [simplify]: Extracting #8: cost 1 inf + 326845
3.694 * * [simplify]: Extracting #9: cost 0 inf + 327431
3.796 * [simplify]: Simplified to:
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  1/2
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  2
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  (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (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)))) (/ (/ 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)))) (/ (/ 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)))) (/ (/ 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 U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (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)))) (/ (/ 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)))) (/ (/ 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)))) (/ (/ 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 U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (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)))) (/ (/ 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)))) (/ (/ 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)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (cbrt (* (/ (/ 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))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (* (cbrt U) (cbrt U)) (* 2 J)))
  (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ 1/2 J) (/ 1/2 J))
  (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))
  1
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  2
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt U)) (/ (* 2 J) (cbrt U)))
  (/ (* (/ U (* 2 J)) (/ (sqrt U) (* 2 J))) (cos (/ K 2)))
  (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (/ (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* J (* (cos (/ K 2)) 2))
  (* J (* (cos (/ K 2)) 2))
  (log (* J (* (cos (/ K 2)) 2)))
  (log (* J (* (cos (/ K 2)) 2)))
  (log (* J (* (cos (/ K 2)) 2)))
  (exp (* J (* (cos (/ K 2)) 2)))
  (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))
  (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))
  (* (cbrt (* J (* (cos (/ K 2)) 2))) (cbrt (* J (* (cos (/ K 2)) 2))))
  (cbrt (* J (* (cos (/ K 2)) 2)))
  (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))
  (sqrt (* J (* (cos (/ K 2)) 2)))
  (sqrt (* J (* (cos (/ K 2)) 2)))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* 2 J))
  (* J (* 2 (sqrt (cos (/ K 2)))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  (real->posit16 (* J (* (cos (/ K 2)) 2)))
  1
  (/ (/ (* U 1/2) J) (cos (* K 1/2)))
  (/ (/ (* U 1/2) J) (cos (* K 1/2)))
  (- (* J -2) (* (/ (* U U) J) 1/4))
  (- U)
  (- U)
  (+ (* (* (/ U J) (/ U J)) 1/4) (/ (* 1/16 (* K K)) (* (/ J U) (/ J U))))
  (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))
  (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))
  (* 2 J)
  (* (cos (* K 1/2)) (* 2 J))
  (* (cos (* K 1/2)) (* 2 J))
3.823 * * * [progress]: adding candidates to table
5.135 * * [progress]: iteration 2 / 4
5.135 * * * [progress]: picking best candidate
5.186 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
5.186 * * * [progress]: localizing error
5.222 * * * [progress]: generating rewritten candidates
5.223 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
5.353 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
5.695 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
5.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2)
5.809 * * * [progress]: generating series expansions
5.809 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
5.809 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
5.809 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
5.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
5.809 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
5.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
5.809 * [taylor]: Taking taylor expansion of 1/4 in K
5.809 * [backup-simplify]: Simplify 1/4 into 1/4
5.809 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
5.809 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.809 * [taylor]: Taking taylor expansion of U in K
5.810 * [backup-simplify]: Simplify U into U
5.810 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
5.810 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
5.810 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.810 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.810 * [taylor]: Taking taylor expansion of 1/2 in K
5.810 * [backup-simplify]: Simplify 1/2 into 1/2
5.810 * [taylor]: Taking taylor expansion of K in K
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify 1 into 1
5.810 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.811 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.811 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.811 * [taylor]: Taking taylor expansion of J in K
5.811 * [backup-simplify]: Simplify J into J
5.811 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.812 * [backup-simplify]: Simplify (* 1 1) into 1
5.812 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.812 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
5.812 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
5.812 * [taylor]: Taking taylor expansion of 1 in K
5.812 * [backup-simplify]: Simplify 1 into 1
5.812 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
5.812 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
5.812 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
5.812 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.812 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.813 * [backup-simplify]: Simplify (+ 0) into 0
5.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
5.814 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
5.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
5.814 * [backup-simplify]: Simplify (+ 0 0) into 0
5.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
5.814 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
5.814 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
5.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
5.814 * [taylor]: Taking taylor expansion of 1/4 in J
5.814 * [backup-simplify]: Simplify 1/4 into 1/4
5.814 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.814 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.815 * [taylor]: Taking taylor expansion of U in J
5.815 * [backup-simplify]: Simplify U into U
5.815 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.815 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.815 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.815 * [taylor]: Taking taylor expansion of 1/2 in J
5.815 * [backup-simplify]: Simplify 1/2 into 1/2
5.815 * [taylor]: Taking taylor expansion of K in J
5.815 * [backup-simplify]: Simplify K into K
5.815 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.815 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.815 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.815 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.815 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.815 * [backup-simplify]: Simplify (- 0) into 0
5.815 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.815 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.815 * [taylor]: Taking taylor expansion of J in J
5.815 * [backup-simplify]: Simplify 0 into 0
5.815 * [backup-simplify]: Simplify 1 into 1
5.815 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.815 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.816 * [backup-simplify]: Simplify (* 1 1) into 1
5.816 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.816 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
5.816 * [taylor]: Taking taylor expansion of 1 in J
5.816 * [backup-simplify]: Simplify 1 into 1
5.816 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.816 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.816 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
5.816 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.817 * [backup-simplify]: Simplify (+ 0) into 0
5.817 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.818 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.819 * [backup-simplify]: Simplify (- 0) into 0
5.819 * [backup-simplify]: Simplify (+ 0 0) into 0
5.819 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.819 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.820 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
5.820 * [backup-simplify]: Simplify (+ 0 0) into 0
5.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
5.820 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.820 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.820 * [taylor]: Taking taylor expansion of 1/4 in U
5.820 * [backup-simplify]: Simplify 1/4 into 1/4
5.820 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.820 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.821 * [taylor]: Taking taylor expansion of U in U
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.821 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.821 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.821 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.821 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.821 * [taylor]: Taking taylor expansion of 1/2 in U
5.821 * [backup-simplify]: Simplify 1/2 into 1/2
5.821 * [taylor]: Taking taylor expansion of K in U
5.821 * [backup-simplify]: Simplify K into K
5.821 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.821 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.821 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.821 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.821 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.821 * [backup-simplify]: Simplify (- 0) into 0
5.821 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.821 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.821 * [taylor]: Taking taylor expansion of J in U
5.821 * [backup-simplify]: Simplify J into J
5.822 * [backup-simplify]: Simplify (* 1 1) into 1
5.822 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.822 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.822 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.822 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.822 * [taylor]: Taking taylor expansion of 1 in U
5.822 * [backup-simplify]: Simplify 1 into 1
5.822 * [backup-simplify]: Simplify (+ 0 1) into 1
5.822 * [backup-simplify]: Simplify (sqrt 1) into 1
5.823 * [backup-simplify]: Simplify (+ 0 0) into 0
5.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.823 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.823 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.823 * [taylor]: Taking taylor expansion of 1/4 in U
5.823 * [backup-simplify]: Simplify 1/4 into 1/4
5.823 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.823 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.823 * [taylor]: Taking taylor expansion of U in U
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify 1 into 1
5.823 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.823 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.823 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.823 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.823 * [taylor]: Taking taylor expansion of 1/2 in U
5.823 * [backup-simplify]: Simplify 1/2 into 1/2
5.823 * [taylor]: Taking taylor expansion of K in U
5.823 * [backup-simplify]: Simplify K into K
5.824 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.824 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.824 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.824 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.824 * [backup-simplify]: Simplify (- 0) into 0
5.824 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.824 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.824 * [taylor]: Taking taylor expansion of J in U
5.824 * [backup-simplify]: Simplify J into J
5.824 * [backup-simplify]: Simplify (* 1 1) into 1
5.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.824 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.825 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.825 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.825 * [taylor]: Taking taylor expansion of 1 in U
5.825 * [backup-simplify]: Simplify 1 into 1
5.825 * [backup-simplify]: Simplify (+ 0 1) into 1
5.825 * [backup-simplify]: Simplify (sqrt 1) into 1
5.826 * [backup-simplify]: Simplify (+ 0 0) into 0
5.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.826 * [taylor]: Taking taylor expansion of 1 in J
5.826 * [backup-simplify]: Simplify 1 into 1
5.826 * [taylor]: Taking taylor expansion of 0 in J
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [taylor]: Taking taylor expansion of 1 in K
5.826 * [backup-simplify]: Simplify 1 into 1
5.826 * [backup-simplify]: Simplify 1 into 1
5.826 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.827 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
5.827 * [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)))
5.827 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.827 * [taylor]: Taking taylor expansion of 1/8 in J
5.827 * [backup-simplify]: Simplify 1/8 into 1/8
5.828 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.828 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.828 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.828 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.828 * [taylor]: Taking taylor expansion of 1/2 in J
5.828 * [backup-simplify]: Simplify 1/2 into 1/2
5.828 * [taylor]: Taking taylor expansion of K in J
5.828 * [backup-simplify]: Simplify K into K
5.828 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.828 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.828 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.828 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.828 * [backup-simplify]: Simplify (- 0) into 0
5.828 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.828 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.828 * [taylor]: Taking taylor expansion of J in J
5.828 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify 1 into 1
5.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.829 * [backup-simplify]: Simplify (* 1 1) into 1
5.829 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.829 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
5.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.829 * [backup-simplify]: Simplify (+ 0) into 0
5.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.833 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.833 * [backup-simplify]: Simplify (- 0) into 0
5.834 * [backup-simplify]: Simplify (+ 0 0) into 0
5.834 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.834 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.834 * [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
5.834 * [taylor]: Taking taylor expansion of 0 in K
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [taylor]: Taking taylor expansion of 0 in K
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [taylor]: Taking taylor expansion of 0 in K
5.835 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.835 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.835 * [backup-simplify]: Simplify (+ 0) into 0
5.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.837 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.837 * [backup-simplify]: Simplify (- 0) into 0
5.837 * [backup-simplify]: Simplify (+ 0 0) into 0
5.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.837 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
5.838 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
5.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
5.838 * [backup-simplify]: Simplify (+ 0 0) into 0
5.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
5.839 * [taylor]: Taking taylor expansion of 0 in J
5.839 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.840 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
5.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.842 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.843 * [backup-simplify]: Simplify (- 0) into 0
5.843 * [backup-simplify]: Simplify (+ 0 0) into 0
5.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
5.844 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.845 * [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
5.845 * [taylor]: Taking taylor expansion of 0 in K
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [taylor]: Taking taylor expansion of 0 in K
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 1 into 1
5.846 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.846 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
5.846 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
5.846 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
5.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
5.846 * [taylor]: Taking taylor expansion of 1/4 in K
5.846 * [backup-simplify]: Simplify 1/4 into 1/4
5.846 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
5.846 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.846 * [taylor]: Taking taylor expansion of J in K
5.846 * [backup-simplify]: Simplify J into J
5.846 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
5.846 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.846 * [taylor]: Taking taylor expansion of U in K
5.846 * [backup-simplify]: Simplify U into U
5.846 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
5.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.846 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.846 * [taylor]: Taking taylor expansion of 1/2 in K
5.846 * [backup-simplify]: Simplify 1/2 into 1/2
5.846 * [taylor]: Taking taylor expansion of K in K
5.846 * [backup-simplify]: Simplify 0 into 0
5.846 * [backup-simplify]: Simplify 1 into 1
5.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.847 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.847 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.847 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.847 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.847 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.848 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.848 * [taylor]: Taking taylor expansion of 1 in K
5.848 * [backup-simplify]: Simplify 1 into 1
5.848 * [backup-simplify]: Simplify (* 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))))
5.848 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
5.849 * [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))
5.849 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.849 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.849 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.850 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.851 * [backup-simplify]: Simplify (+ 0 0) into 0
5.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
5.851 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
5.851 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
5.851 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
5.851 * [taylor]: Taking taylor expansion of 1/4 in J
5.851 * [backup-simplify]: Simplify 1/4 into 1/4
5.852 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
5.852 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.852 * [taylor]: Taking taylor expansion of J in J
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 1 into 1
5.852 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
5.852 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.852 * [taylor]: Taking taylor expansion of U in J
5.852 * [backup-simplify]: Simplify U into U
5.852 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
5.852 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.852 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.852 * [taylor]: Taking taylor expansion of 1/2 in J
5.852 * [backup-simplify]: Simplify 1/2 into 1/2
5.852 * [taylor]: Taking taylor expansion of K in J
5.852 * [backup-simplify]: Simplify K into K
5.852 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.852 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.852 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.852 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.852 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.853 * [backup-simplify]: Simplify (- 0) into 0
5.853 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.853 * [backup-simplify]: Simplify (* 1 1) into 1
5.853 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.853 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.853 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.853 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.853 * [taylor]: Taking taylor expansion of 1 in J
5.853 * [backup-simplify]: Simplify 1 into 1
5.854 * [backup-simplify]: Simplify (+ 0 1) into 1
5.854 * [backup-simplify]: Simplify (sqrt 1) into 1
5.854 * [backup-simplify]: Simplify (+ 0 0) into 0
5.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.854 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.854 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.855 * [taylor]: Taking taylor expansion of 1/4 in U
5.855 * [backup-simplify]: Simplify 1/4 into 1/4
5.855 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.855 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.855 * [taylor]: Taking taylor expansion of J in U
5.855 * [backup-simplify]: Simplify J into J
5.855 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.855 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.855 * [taylor]: Taking taylor expansion of U in U
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.855 * [taylor]: Taking taylor expansion of 1/2 in U
5.855 * [backup-simplify]: Simplify 1/2 into 1/2
5.855 * [taylor]: Taking taylor expansion of K in U
5.855 * [backup-simplify]: Simplify K into K
5.855 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.855 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.855 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.855 * [backup-simplify]: Simplify (- 0) into 0
5.855 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.855 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.856 * [backup-simplify]: Simplify (* 1 1) into 1
5.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.856 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.856 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.856 * [taylor]: Taking taylor expansion of 1 in U
5.856 * [backup-simplify]: Simplify 1 into 1
5.856 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.856 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.856 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.856 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.857 * [backup-simplify]: Simplify (+ 0) into 0
5.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.858 * [backup-simplify]: Simplify (- 0) into 0
5.858 * [backup-simplify]: Simplify (+ 0 0) into 0
5.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.859 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.860 * [backup-simplify]: Simplify (+ 0 0) into 0
5.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.860 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.860 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.860 * [taylor]: Taking taylor expansion of 1/4 in U
5.860 * [backup-simplify]: Simplify 1/4 into 1/4
5.860 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.860 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.860 * [taylor]: Taking taylor expansion of J in U
5.860 * [backup-simplify]: Simplify J into J
5.860 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.860 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.860 * [taylor]: Taking taylor expansion of U in U
5.860 * [backup-simplify]: Simplify 0 into 0
5.860 * [backup-simplify]: Simplify 1 into 1
5.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.861 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.861 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.861 * [taylor]: Taking taylor expansion of 1/2 in U
5.861 * [backup-simplify]: Simplify 1/2 into 1/2
5.861 * [taylor]: Taking taylor expansion of K in U
5.861 * [backup-simplify]: Simplify K into K
5.861 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.861 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.861 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.861 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.861 * [backup-simplify]: Simplify (- 0) into 0
5.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.861 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.862 * [backup-simplify]: Simplify (* 1 1) into 1
5.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.862 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.862 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.862 * [taylor]: Taking taylor expansion of 1 in U
5.862 * [backup-simplify]: Simplify 1 into 1
5.862 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.862 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.862 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.862 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.863 * [backup-simplify]: Simplify (+ 0) into 0
5.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.864 * [backup-simplify]: Simplify (- 0) into 0
5.864 * [backup-simplify]: Simplify (+ 0 0) into 0
5.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.865 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.866 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.866 * [backup-simplify]: Simplify (+ 0 0) into 0
5.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
5.866 * [taylor]: Taking taylor expansion of 1/2 in J
5.866 * [backup-simplify]: Simplify 1/2 into 1/2
5.866 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
5.866 * [taylor]: Taking taylor expansion of J in J
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.866 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.866 * [taylor]: Taking taylor expansion of 1/2 in J
5.867 * [backup-simplify]: Simplify 1/2 into 1/2
5.867 * [taylor]: Taking taylor expansion of K in J
5.867 * [backup-simplify]: Simplify K into K
5.867 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.867 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.867 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.867 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.867 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.867 * [backup-simplify]: Simplify (- 0) into 0
5.867 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.867 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
5.867 * [taylor]: Taking taylor expansion of 0 in J
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [taylor]: Taking taylor expansion of 0 in K
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
5.867 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
5.867 * [taylor]: Taking taylor expansion of 1/2 in K
5.867 * [backup-simplify]: Simplify 1/2 into 1/2
5.867 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.867 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.867 * [taylor]: Taking taylor expansion of 1/2 in K
5.867 * [backup-simplify]: Simplify 1/2 into 1/2
5.867 * [taylor]: Taking taylor expansion of K in K
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify 1 into 1
5.868 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.868 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.868 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.868 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.868 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.869 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.870 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.871 * [backup-simplify]: Simplify (- 0) into 0
5.871 * [backup-simplify]: Simplify (+ 0 0) into 0
5.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
5.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
5.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.874 * [backup-simplify]: Simplify (+ 0 1) into 1
5.874 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
5.874 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
5.874 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.874 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.874 * [taylor]: Taking taylor expansion of 1/2 in J
5.874 * [backup-simplify]: Simplify 1/2 into 1/2
5.874 * [taylor]: Taking taylor expansion of K in J
5.874 * [backup-simplify]: Simplify K into K
5.874 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.874 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.874 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.874 * [taylor]: Taking taylor expansion of J in J
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.874 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.875 * [backup-simplify]: Simplify (- 0) into 0
5.875 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.875 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.875 * [backup-simplify]: Simplify (+ 0) into 0
5.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.877 * [backup-simplify]: Simplify (- 0) into 0
5.877 * [backup-simplify]: Simplify (+ 0 0) into 0
5.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
5.877 * [taylor]: Taking taylor expansion of 0 in K
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [taylor]: Taking taylor expansion of 0 in K
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify (+ 0) into 0
5.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.879 * [backup-simplify]: Simplify (- 0) into 0
5.880 * [backup-simplify]: Simplify (+ 0 0) into 0
5.880 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
5.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
5.880 * [taylor]: Taking taylor expansion of 0 in K
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
5.880 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.882 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.884 * [backup-simplify]: Simplify (- 0) into 0
5.884 * [backup-simplify]: Simplify (+ 0 0) into 0
5.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
5.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.887 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.888 * [backup-simplify]: Simplify (+ 0 0) into 0
5.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
5.888 * [taylor]: Taking taylor expansion of 0 in J
5.888 * [backup-simplify]: Simplify 0 into 0
5.888 * [taylor]: Taking taylor expansion of 0 in K
5.888 * [backup-simplify]: Simplify 0 into 0
5.888 * [backup-simplify]: Simplify 0 into 0
5.888 * [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)))
5.888 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
5.888 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
5.888 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
5.888 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
5.888 * [taylor]: Taking taylor expansion of 1 in K
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
5.889 * [taylor]: Taking taylor expansion of 1/4 in K
5.889 * [backup-simplify]: Simplify 1/4 into 1/4
5.889 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
5.889 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.889 * [taylor]: Taking taylor expansion of J in K
5.889 * [backup-simplify]: Simplify J into J
5.889 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
5.889 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
5.889 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
5.889 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
5.889 * [taylor]: Taking taylor expansion of -1/2 in K
5.889 * [backup-simplify]: Simplify -1/2 into -1/2
5.889 * [taylor]: Taking taylor expansion of K in K
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.889 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.889 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.889 * [taylor]: Taking taylor expansion of U in K
5.889 * [backup-simplify]: Simplify U into U
5.889 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.889 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.889 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
5.890 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
5.890 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
5.890 * [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)))))
5.890 * [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))))))
5.890 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.890 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.890 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
5.891 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
5.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
5.891 * [backup-simplify]: Simplify (+ 0 0) into 0
5.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
5.892 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
5.892 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
5.892 * [taylor]: Taking taylor expansion of 1 in J
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
5.892 * [taylor]: Taking taylor expansion of 1/4 in J
5.892 * [backup-simplify]: Simplify 1/4 into 1/4
5.892 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
5.892 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.892 * [taylor]: Taking taylor expansion of J in J
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
5.892 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
5.892 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.892 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.892 * [taylor]: Taking taylor expansion of -1/2 in J
5.892 * [backup-simplify]: Simplify -1/2 into -1/2
5.892 * [taylor]: Taking taylor expansion of K in J
5.892 * [backup-simplify]: Simplify K into K
5.892 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.892 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.892 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.892 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.893 * [backup-simplify]: Simplify (- 0) into 0
5.893 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.893 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.893 * [taylor]: Taking taylor expansion of U in J
5.893 * [backup-simplify]: Simplify U into U
5.893 * [backup-simplify]: Simplify (* 1 1) into 1
5.893 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.893 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.893 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
5.893 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
5.894 * [backup-simplify]: Simplify (+ 1 0) into 1
5.894 * [backup-simplify]: Simplify (sqrt 1) into 1
5.894 * [backup-simplify]: Simplify (+ 0 0) into 0
5.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.895 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
5.895 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
5.895 * [taylor]: Taking taylor expansion of 1 in U
5.895 * [backup-simplify]: Simplify 1 into 1
5.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
5.895 * [taylor]: Taking taylor expansion of 1/4 in U
5.895 * [backup-simplify]: Simplify 1/4 into 1/4
5.895 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
5.895 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.895 * [taylor]: Taking taylor expansion of J in U
5.895 * [backup-simplify]: Simplify J into J
5.895 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
5.895 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
5.895 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
5.895 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
5.895 * [taylor]: Taking taylor expansion of -1/2 in U
5.895 * [backup-simplify]: Simplify -1/2 into -1/2
5.895 * [taylor]: Taking taylor expansion of K in U
5.895 * [backup-simplify]: Simplify K into K
5.895 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.895 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.895 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.895 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.895 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.895 * [backup-simplify]: Simplify (- 0) into 0
5.895 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.895 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.895 * [taylor]: Taking taylor expansion of U in U
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify 1 into 1
5.896 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.896 * [backup-simplify]: Simplify (* 1 1) into 1
5.896 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
5.896 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
5.896 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.896 * [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)))
5.896 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
5.897 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.897 * [backup-simplify]: Simplify (+ 0) into 0
5.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.899 * [backup-simplify]: Simplify (- 0) into 0
5.899 * [backup-simplify]: Simplify (+ 0 0) into 0
5.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.899 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
5.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
5.900 * [backup-simplify]: Simplify (+ 0 0) into 0
5.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.900 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
5.900 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
5.901 * [taylor]: Taking taylor expansion of 1 in U
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
5.901 * [taylor]: Taking taylor expansion of 1/4 in U
5.901 * [backup-simplify]: Simplify 1/4 into 1/4
5.901 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
5.901 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.901 * [taylor]: Taking taylor expansion of J in U
5.901 * [backup-simplify]: Simplify J into J
5.901 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
5.901 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
5.901 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
5.901 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
5.901 * [taylor]: Taking taylor expansion of -1/2 in U
5.901 * [backup-simplify]: Simplify -1/2 into -1/2
5.901 * [taylor]: Taking taylor expansion of K in U
5.901 * [backup-simplify]: Simplify K into K
5.901 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.901 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.901 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.901 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.901 * [backup-simplify]: Simplify (- 0) into 0
5.901 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.901 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.901 * [taylor]: Taking taylor expansion of U in U
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.902 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.902 * [backup-simplify]: Simplify (* 1 1) into 1
5.902 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
5.902 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
5.902 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.902 * [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)))
5.902 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
5.902 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.903 * [backup-simplify]: Simplify (+ 0) into 0
5.903 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.905 * [backup-simplify]: Simplify (- 0) into 0
5.905 * [backup-simplify]: Simplify (+ 0 0) into 0
5.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.905 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
5.905 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
5.906 * [backup-simplify]: Simplify (+ 0 0) into 0
5.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
5.906 * [taylor]: Taking taylor expansion of 1/2 in J
5.906 * [backup-simplify]: Simplify 1/2 into 1/2
5.906 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
5.906 * [taylor]: Taking taylor expansion of J in J
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 1 into 1
5.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.906 * [taylor]: Taking taylor expansion of -1/2 in J
5.906 * [backup-simplify]: Simplify -1/2 into -1/2
5.907 * [taylor]: Taking taylor expansion of K in J
5.907 * [backup-simplify]: Simplify K into K
5.907 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.907 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.907 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.907 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.907 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.907 * [backup-simplify]: Simplify (- 0) into 0
5.907 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.907 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
5.907 * [taylor]: Taking taylor expansion of 0 in J
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [taylor]: Taking taylor expansion of 0 in K
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
5.907 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
5.907 * [taylor]: Taking taylor expansion of 1/2 in K
5.907 * [backup-simplify]: Simplify 1/2 into 1/2
5.907 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
5.907 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
5.907 * [taylor]: Taking taylor expansion of -1/2 in K
5.907 * [backup-simplify]: Simplify -1/2 into -1/2
5.907 * [taylor]: Taking taylor expansion of K in K
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.908 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.908 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
5.908 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
5.908 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.910 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.913 * [backup-simplify]: Simplify (- 0) into 0
5.913 * [backup-simplify]: Simplify (+ 0 0) into 0
5.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
5.914 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.915 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
5.916 * [backup-simplify]: Simplify (+ 1 0) into 1
5.917 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
5.917 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
5.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.917 * [taylor]: Taking taylor expansion of -1/2 in J
5.917 * [backup-simplify]: Simplify -1/2 into -1/2
5.917 * [taylor]: Taking taylor expansion of K in J
5.917 * [backup-simplify]: Simplify K into K
5.917 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.917 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.917 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.917 * [taylor]: Taking taylor expansion of J in J
5.917 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify 1 into 1
5.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.918 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.918 * [backup-simplify]: Simplify (- 0) into 0
5.918 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.918 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.919 * [backup-simplify]: Simplify (+ 0) into 0
5.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.921 * [backup-simplify]: Simplify (- 0) into 0
5.921 * [backup-simplify]: Simplify (+ 0 0) into 0
5.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
5.922 * [taylor]: Taking taylor expansion of 0 in K
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [taylor]: Taking taylor expansion of 0 in K
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify (+ 0) into 0
5.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.925 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.925 * [backup-simplify]: Simplify (- 0) into 0
5.925 * [backup-simplify]: Simplify (+ 0 0) into 0
5.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
5.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
5.926 * [taylor]: Taking taylor expansion of 0 in K
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
5.927 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.929 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.932 * [backup-simplify]: Simplify (- 0) into 0
5.933 * [backup-simplify]: Simplify (+ 0 0) into 0
5.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
5.934 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.934 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.935 * [backup-simplify]: Simplify (+ 0 0) into 0
5.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
5.935 * [taylor]: Taking taylor expansion of 0 in J
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [taylor]: Taking taylor expansion of 0 in K
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 0 into 0
5.936 * [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)))
5.936 * * * * [progress]: [ 2 / 4 ] generating series at (2)
5.936 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
5.936 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
5.936 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
5.936 * [taylor]: Taking taylor expansion of -2 in K
5.936 * [backup-simplify]: Simplify -2 into -2
5.936 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
5.936 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
5.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.936 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.936 * [taylor]: Taking taylor expansion of 1/2 in K
5.936 * [backup-simplify]: Simplify 1/2 into 1/2
5.936 * [taylor]: Taking taylor expansion of K in K
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 1 into 1
5.939 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.940 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.940 * [taylor]: Taking taylor expansion of J in K
5.940 * [backup-simplify]: Simplify J into J
5.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
5.940 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
5.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
5.940 * [taylor]: Taking taylor expansion of 1/4 in K
5.940 * [backup-simplify]: Simplify 1/4 into 1/4
5.940 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
5.940 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.940 * [taylor]: Taking taylor expansion of U in K
5.940 * [backup-simplify]: Simplify U into U
5.940 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
5.940 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
5.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.940 * [taylor]: Taking taylor expansion of 1/2 in K
5.940 * [backup-simplify]: Simplify 1/2 into 1/2
5.940 * [taylor]: Taking taylor expansion of K in K
5.940 * [backup-simplify]: Simplify 0 into 0
5.940 * [backup-simplify]: Simplify 1 into 1
5.941 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.941 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.941 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.941 * [taylor]: Taking taylor expansion of J in K
5.941 * [backup-simplify]: Simplify J into J
5.941 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.941 * [backup-simplify]: Simplify (* 1 1) into 1
5.942 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.942 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
5.942 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
5.942 * [taylor]: Taking taylor expansion of 1 in K
5.942 * [backup-simplify]: Simplify 1 into 1
5.942 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
5.942 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
5.942 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
5.942 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.942 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.942 * [backup-simplify]: Simplify (+ 0) into 0
5.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
5.943 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
5.944 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
5.944 * [backup-simplify]: Simplify (+ 0 0) into 0
5.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
5.944 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
5.944 * [taylor]: Taking taylor expansion of -2 in J
5.944 * [backup-simplify]: Simplify -2 into -2
5.944 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
5.944 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
5.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.944 * [taylor]: Taking taylor expansion of 1/2 in J
5.944 * [backup-simplify]: Simplify 1/2 into 1/2
5.944 * [taylor]: Taking taylor expansion of K in J
5.944 * [backup-simplify]: Simplify K into K
5.944 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.944 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.945 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.945 * [taylor]: Taking taylor expansion of J in J
5.945 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify 1 into 1
5.945 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
5.945 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
5.945 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
5.945 * [taylor]: Taking taylor expansion of 1/4 in J
5.945 * [backup-simplify]: Simplify 1/4 into 1/4
5.945 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.945 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.945 * [taylor]: Taking taylor expansion of U in J
5.945 * [backup-simplify]: Simplify U into U
5.945 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.945 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.945 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.945 * [taylor]: Taking taylor expansion of 1/2 in J
5.945 * [backup-simplify]: Simplify 1/2 into 1/2
5.945 * [taylor]: Taking taylor expansion of K in J
5.945 * [backup-simplify]: Simplify K into K
5.945 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.945 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.945 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.945 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.945 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.945 * [backup-simplify]: Simplify (- 0) into 0
5.945 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.945 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.945 * [taylor]: Taking taylor expansion of J in J
5.945 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.946 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.946 * [backup-simplify]: Simplify (* 1 1) into 1
5.946 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.946 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
5.946 * [taylor]: Taking taylor expansion of 1 in J
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.946 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.946 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
5.947 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.947 * [backup-simplify]: Simplify (+ 0) into 0
5.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.949 * [backup-simplify]: Simplify (- 0) into 0
5.949 * [backup-simplify]: Simplify (+ 0 0) into 0
5.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.950 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.950 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
5.950 * [backup-simplify]: Simplify (+ 0 0) into 0
5.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
5.951 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
5.951 * [taylor]: Taking taylor expansion of -2 in U
5.951 * [backup-simplify]: Simplify -2 into -2
5.951 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
5.951 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
5.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.951 * [taylor]: Taking taylor expansion of 1/2 in U
5.951 * [backup-simplify]: Simplify 1/2 into 1/2
5.951 * [taylor]: Taking taylor expansion of K in U
5.951 * [backup-simplify]: Simplify K into K
5.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.951 * [taylor]: Taking taylor expansion of J in U
5.951 * [backup-simplify]: Simplify J into J
5.951 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.951 * [taylor]: Taking taylor expansion of 1/4 in U
5.951 * [backup-simplify]: Simplify 1/4 into 1/4
5.951 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.951 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.951 * [taylor]: Taking taylor expansion of U in U
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 1 into 1
5.951 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.951 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.951 * [taylor]: Taking taylor expansion of 1/2 in U
5.951 * [backup-simplify]: Simplify 1/2 into 1/2
5.951 * [taylor]: Taking taylor expansion of K in U
5.951 * [backup-simplify]: Simplify K into K
5.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.952 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.952 * [backup-simplify]: Simplify (- 0) into 0
5.952 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.952 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.952 * [taylor]: Taking taylor expansion of J in U
5.952 * [backup-simplify]: Simplify J into J
5.952 * [backup-simplify]: Simplify (* 1 1) into 1
5.953 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.953 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.953 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.953 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.953 * [taylor]: Taking taylor expansion of 1 in U
5.953 * [backup-simplify]: Simplify 1 into 1
5.954 * [backup-simplify]: Simplify (+ 0 1) into 1
5.954 * [backup-simplify]: Simplify (sqrt 1) into 1
5.954 * [backup-simplify]: Simplify (+ 0 0) into 0
5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.955 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
5.955 * [taylor]: Taking taylor expansion of -2 in U
5.955 * [backup-simplify]: Simplify -2 into -2
5.955 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
5.955 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
5.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.955 * [taylor]: Taking taylor expansion of 1/2 in U
5.955 * [backup-simplify]: Simplify 1/2 into 1/2
5.955 * [taylor]: Taking taylor expansion of K in U
5.955 * [backup-simplify]: Simplify K into K
5.955 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.955 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.955 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.956 * [taylor]: Taking taylor expansion of J in U
5.956 * [backup-simplify]: Simplify J into J
5.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.956 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.956 * [taylor]: Taking taylor expansion of 1/4 in U
5.956 * [backup-simplify]: Simplify 1/4 into 1/4
5.956 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.956 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.956 * [taylor]: Taking taylor expansion of U in U
5.956 * [backup-simplify]: Simplify 0 into 0
5.956 * [backup-simplify]: Simplify 1 into 1
5.956 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.956 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.956 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.956 * [taylor]: Taking taylor expansion of 1/2 in U
5.956 * [backup-simplify]: Simplify 1/2 into 1/2
5.956 * [taylor]: Taking taylor expansion of K in U
5.956 * [backup-simplify]: Simplify K into K
5.956 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.956 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.956 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.956 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.956 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.957 * [backup-simplify]: Simplify (- 0) into 0
5.957 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.957 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.957 * [taylor]: Taking taylor expansion of J in U
5.957 * [backup-simplify]: Simplify J into J
5.957 * [backup-simplify]: Simplify (* 1 1) into 1
5.958 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.958 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.958 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.958 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.958 * [taylor]: Taking taylor expansion of 1 in U
5.958 * [backup-simplify]: Simplify 1 into 1
5.958 * [backup-simplify]: Simplify (+ 0 1) into 1
5.959 * [backup-simplify]: Simplify (sqrt 1) into 1
5.959 * [backup-simplify]: Simplify (+ 0 0) into 0
5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.960 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.961 * [backup-simplify]: Simplify (- 0) into 0
5.961 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.961 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
5.961 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
5.961 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
5.961 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
5.961 * [taylor]: Taking taylor expansion of -2 in J
5.961 * [backup-simplify]: Simplify -2 into -2
5.961 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
5.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.961 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.961 * [taylor]: Taking taylor expansion of 1/2 in J
5.961 * [backup-simplify]: Simplify 1/2 into 1/2
5.961 * [taylor]: Taking taylor expansion of K in J
5.961 * [backup-simplify]: Simplify K into K
5.961 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.961 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.961 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.961 * [taylor]: Taking taylor expansion of J in J
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify (+ 0) into 0
5.962 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.964 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.964 * [backup-simplify]: Simplify (- 0) into 0
5.965 * [backup-simplify]: Simplify (+ 0 0) into 0
5.965 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
5.966 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
5.966 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
5.966 * [taylor]: Taking taylor expansion of 0 in J
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.966 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.967 * [backup-simplify]: Simplify (- 0) into 0
5.967 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
5.967 * [backup-simplify]: Simplify (* -2 0) into 0
5.967 * [taylor]: Taking taylor expansion of 0 in K
5.967 * [backup-simplify]: Simplify 0 into 0
5.967 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.968 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
5.969 * [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)))
5.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
5.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.974 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.974 * [backup-simplify]: Simplify (- 0) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.975 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
5.976 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
5.977 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
5.977 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
5.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
5.977 * [taylor]: Taking taylor expansion of 1/4 in J
5.977 * [backup-simplify]: Simplify 1/4 into 1/4
5.977 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
5.977 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
5.977 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.977 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.977 * [taylor]: Taking taylor expansion of 1/2 in J
5.977 * [backup-simplify]: Simplify 1/2 into 1/2
5.977 * [taylor]: Taking taylor expansion of K in J
5.977 * [backup-simplify]: Simplify K into K
5.977 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.977 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.977 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.977 * [taylor]: Taking taylor expansion of J in J
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.977 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.978 * [backup-simplify]: Simplify (- 0) into 0
5.978 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
5.978 * [backup-simplify]: Simplify (+ 0) into 0
5.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.981 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.981 * [backup-simplify]: Simplify (- 0) into 0
5.981 * [backup-simplify]: Simplify (+ 0 0) into 0
5.982 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
5.982 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
5.982 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
5.982 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
5.982 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
5.982 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
5.982 * [taylor]: Taking taylor expansion of 1/4 in K
5.982 * [backup-simplify]: Simplify 1/4 into 1/4
5.982 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
5.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.982 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.982 * [taylor]: Taking taylor expansion of 1/2 in K
5.982 * [backup-simplify]: Simplify 1/2 into 1/2
5.982 * [taylor]: Taking taylor expansion of K in K
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.983 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.983 * [backup-simplify]: Simplify (/ 1 1) into 1
5.983 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.984 * [backup-simplify]: Simplify (- 1/4) into -1/4
5.984 * [backup-simplify]: Simplify -1/4 into -1/4
5.984 * [taylor]: Taking taylor expansion of 0 in K
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify (+ 0) into 0
5.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.986 * [backup-simplify]: Simplify (- 0) into 0
5.986 * [backup-simplify]: Simplify (+ 0 0) into 0
5.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
5.987 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
5.987 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
5.987 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
5.987 * [taylor]: Taking taylor expansion of 2 in K
5.987 * [backup-simplify]: Simplify 2 into 2
5.987 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.987 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.987 * [taylor]: Taking taylor expansion of 1/2 in K
5.987 * [backup-simplify]: Simplify 1/2 into 1/2
5.987 * [taylor]: Taking taylor expansion of K in K
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.987 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.988 * [backup-simplify]: Simplify (* 2 1) into 2
5.988 * [backup-simplify]: Simplify (- 2) into -2
5.988 * [backup-simplify]: Simplify -2 into -2
5.988 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.989 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.989 * [backup-simplify]: Simplify (+ 0) into 0
5.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.990 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.991 * [backup-simplify]: Simplify (- 0) into 0
5.991 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.991 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
5.991 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
5.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
5.992 * [backup-simplify]: Simplify (+ 0 0) into 0
5.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
5.993 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
5.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.996 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.996 * [backup-simplify]: Simplify (- 0) into 0
5.996 * [backup-simplify]: Simplify (+ 0 0) into 0
5.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.997 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
5.998 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
5.998 * [taylor]: Taking taylor expansion of 0 in J
5.998 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.999 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.000 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.001 * [backup-simplify]: Simplify (- 0) into 0
6.001 * [backup-simplify]: Simplify (+ 0 0) into 0
6.001 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
6.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
6.002 * [backup-simplify]: Simplify (- 0) into 0
6.002 * [taylor]: Taking taylor expansion of 0 in K
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [taylor]: Taking taylor expansion of 0 in K
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.005 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.005 * [backup-simplify]: Simplify (- 0) into 0
6.005 * [backup-simplify]: Simplify (+ 0 0) into 0
6.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.006 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
6.007 * [taylor]: Taking taylor expansion of 0 in K
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify (+ 0) into 0
6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
6.008 * [backup-simplify]: Simplify (- 0) into 0
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
6.009 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
6.009 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
6.009 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
6.009 * [taylor]: Taking taylor expansion of -2 in K
6.009 * [backup-simplify]: Simplify -2 into -2
6.009 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
6.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.009 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.009 * [taylor]: Taking taylor expansion of 1/4 in K
6.009 * [backup-simplify]: Simplify 1/4 into 1/4
6.009 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.009 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.009 * [taylor]: Taking taylor expansion of J in K
6.009 * [backup-simplify]: Simplify J into J
6.009 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.009 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.009 * [taylor]: Taking taylor expansion of U in K
6.009 * [backup-simplify]: Simplify U into U
6.009 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.009 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.009 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.009 * [taylor]: Taking taylor expansion of 1/2 in K
6.009 * [backup-simplify]: Simplify 1/2 into 1/2
6.009 * [taylor]: Taking taylor expansion of K in K
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 1 into 1
6.010 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.010 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.010 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.010 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.010 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.010 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.010 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.010 * [taylor]: Taking taylor expansion of 1 in K
6.010 * [backup-simplify]: Simplify 1 into 1
6.010 * [backup-simplify]: Simplify (* 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))))
6.010 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
6.011 * [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))
6.011 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.011 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.011 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.011 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.011 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.012 * [backup-simplify]: Simplify (+ 0 0) into 0
6.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.012 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.012 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.012 * [taylor]: Taking taylor expansion of 1/2 in K
6.012 * [backup-simplify]: Simplify 1/2 into 1/2
6.012 * [taylor]: Taking taylor expansion of K in K
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 1 into 1
6.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.013 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.013 * [taylor]: Taking taylor expansion of J in K
6.013 * [backup-simplify]: Simplify J into J
6.013 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.013 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
6.013 * [taylor]: Taking taylor expansion of -2 in J
6.013 * [backup-simplify]: Simplify -2 into -2
6.013 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
6.013 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.013 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.013 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.013 * [taylor]: Taking taylor expansion of 1/4 in J
6.013 * [backup-simplify]: Simplify 1/4 into 1/4
6.013 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.013 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.013 * [taylor]: Taking taylor expansion of J in J
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 1 into 1
6.013 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.013 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.013 * [taylor]: Taking taylor expansion of U in J
6.014 * [backup-simplify]: Simplify U into U
6.014 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.014 * [taylor]: Taking taylor expansion of 1/2 in J
6.014 * [backup-simplify]: Simplify 1/2 into 1/2
6.014 * [taylor]: Taking taylor expansion of K in J
6.014 * [backup-simplify]: Simplify K into K
6.014 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.014 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.014 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.014 * [backup-simplify]: Simplify (- 0) into 0
6.015 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.015 * [backup-simplify]: Simplify (* 1 1) into 1
6.015 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.015 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.016 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.016 * [taylor]: Taking taylor expansion of 1 in J
6.016 * [backup-simplify]: Simplify 1 into 1
6.016 * [backup-simplify]: Simplify (+ 0 1) into 1
6.016 * [backup-simplify]: Simplify (sqrt 1) into 1
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.018 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.018 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.018 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.018 * [taylor]: Taking taylor expansion of 1/2 in J
6.018 * [backup-simplify]: Simplify 1/2 into 1/2
6.018 * [taylor]: Taking taylor expansion of K in J
6.018 * [backup-simplify]: Simplify K into K
6.018 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.019 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.019 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.019 * [taylor]: Taking taylor expansion of J in J
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify 1 into 1
6.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.019 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.019 * [backup-simplify]: Simplify (- 0) into 0
6.019 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.020 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.020 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
6.020 * [taylor]: Taking taylor expansion of -2 in U
6.020 * [backup-simplify]: Simplify -2 into -2
6.020 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.020 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.020 * [taylor]: Taking taylor expansion of 1/4 in U
6.020 * [backup-simplify]: Simplify 1/4 into 1/4
6.020 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.020 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.020 * [taylor]: Taking taylor expansion of J in U
6.020 * [backup-simplify]: Simplify J into J
6.020 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.020 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.020 * [taylor]: Taking taylor expansion of U in U
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.020 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.020 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.020 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.020 * [taylor]: Taking taylor expansion of 1/2 in U
6.020 * [backup-simplify]: Simplify 1/2 into 1/2
6.020 * [taylor]: Taking taylor expansion of K in U
6.020 * [backup-simplify]: Simplify K into K
6.021 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.021 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.021 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.021 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.021 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.021 * [backup-simplify]: Simplify (- 0) into 0
6.022 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.022 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.022 * [backup-simplify]: Simplify (* 1 1) into 1
6.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.022 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.022 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.022 * [taylor]: Taking taylor expansion of 1 in U
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.023 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.023 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.023 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.024 * [backup-simplify]: Simplify (+ 0) into 0
6.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.026 * [backup-simplify]: Simplify (- 0) into 0
6.026 * [backup-simplify]: Simplify (+ 0 0) into 0
6.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.028 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.028 * [backup-simplify]: Simplify (+ 0 0) into 0
6.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.029 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
6.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.029 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.029 * [taylor]: Taking taylor expansion of 1/2 in U
6.029 * [backup-simplify]: Simplify 1/2 into 1/2
6.029 * [taylor]: Taking taylor expansion of K in U
6.029 * [backup-simplify]: Simplify K into K
6.029 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.029 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.029 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.029 * [taylor]: Taking taylor expansion of J in U
6.029 * [backup-simplify]: Simplify J into J
6.029 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.029 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.029 * [backup-simplify]: Simplify (- 0) into 0
6.029 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.029 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.029 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
6.029 * [taylor]: Taking taylor expansion of -2 in U
6.029 * [backup-simplify]: Simplify -2 into -2
6.029 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
6.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.029 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.029 * [taylor]: Taking taylor expansion of 1/4 in U
6.029 * [backup-simplify]: Simplify 1/4 into 1/4
6.029 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.030 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.030 * [taylor]: Taking taylor expansion of J in U
6.030 * [backup-simplify]: Simplify J into J
6.030 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.030 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.030 * [taylor]: Taking taylor expansion of U in U
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.030 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.030 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.030 * [taylor]: Taking taylor expansion of 1/2 in U
6.030 * [backup-simplify]: Simplify 1/2 into 1/2
6.030 * [taylor]: Taking taylor expansion of K in U
6.030 * [backup-simplify]: Simplify K into K
6.030 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.030 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.030 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.030 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.030 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.030 * [backup-simplify]: Simplify (- 0) into 0
6.030 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.030 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.031 * [backup-simplify]: Simplify (* 1 1) into 1
6.031 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.031 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.031 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.031 * [taylor]: Taking taylor expansion of 1 in U
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.031 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.031 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.031 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.032 * [backup-simplify]: Simplify (+ 0) into 0
6.032 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.032 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.033 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.033 * [backup-simplify]: Simplify (- 0) into 0
6.034 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.035 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.035 * [backup-simplify]: Simplify (+ 0 0) into 0
6.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.036 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
6.036 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.036 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.036 * [taylor]: Taking taylor expansion of 1/2 in U
6.036 * [backup-simplify]: Simplify 1/2 into 1/2
6.036 * [taylor]: Taking taylor expansion of K in U
6.036 * [backup-simplify]: Simplify K into K
6.036 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.036 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.036 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.036 * [taylor]: Taking taylor expansion of J in U
6.036 * [backup-simplify]: Simplify J into J
6.036 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.036 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.036 * [backup-simplify]: Simplify (- 0) into 0
6.036 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.036 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.037 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
6.037 * [backup-simplify]: Simplify (* -2 1/2) into -1
6.037 * [taylor]: Taking taylor expansion of -1 in J
6.037 * [backup-simplify]: Simplify -1 into -1
6.037 * [backup-simplify]: Simplify (+ 0) into 0
6.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.038 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.039 * [backup-simplify]: Simplify (- 0) into 0
6.039 * [backup-simplify]: Simplify (+ 0 0) into 0
6.039 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
6.039 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
6.040 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
6.040 * [taylor]: Taking taylor expansion of 0 in J
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [taylor]: Taking taylor expansion of -1 in K
6.040 * [backup-simplify]: Simplify -1 into -1
6.040 * [backup-simplify]: Simplify -1 into -1
6.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.042 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.042 * [backup-simplify]: Simplify (- 0) into 0
6.042 * [backup-simplify]: Simplify (+ 0 0) into 0
6.042 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.043 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.044 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.045 * [backup-simplify]: Simplify (- 0) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.047 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.048 * [backup-simplify]: Simplify (+ 0 1) into 1
6.048 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.049 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
6.050 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
6.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
6.050 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
6.050 * [taylor]: Taking taylor expansion of 2 in J
6.050 * [backup-simplify]: Simplify 2 into 2
6.050 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
6.050 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.050 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.050 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.050 * [taylor]: Taking taylor expansion of 1/2 in J
6.050 * [backup-simplify]: Simplify 1/2 into 1/2
6.050 * [taylor]: Taking taylor expansion of K in J
6.050 * [backup-simplify]: Simplify K into K
6.050 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.050 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.050 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.051 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.051 * [backup-simplify]: Simplify (- 0) into 0
6.051 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.051 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.051 * [taylor]: Taking taylor expansion of J in J
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.055 * [backup-simplify]: Simplify (* 1 1) into 1
6.055 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
6.056 * [backup-simplify]: Simplify (+ 0) into 0
6.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.058 * [backup-simplify]: Simplify (- 0) into 0
6.059 * [backup-simplify]: Simplify (+ 0 0) into 0
6.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
6.061 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.061 * [backup-simplify]: Simplify (- 0) into 0
6.061 * [taylor]: Taking taylor expansion of 0 in K
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [taylor]: Taking taylor expansion of 0 in K
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [taylor]: Taking taylor expansion of 0 in K
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.066 * [backup-simplify]: Simplify (- 0) into 0
6.066 * [backup-simplify]: Simplify (+ 0 0) into 0
6.066 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.067 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.067 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.070 * [backup-simplify]: Simplify (- 0) into 0
6.070 * [backup-simplify]: Simplify (+ 0 0) into 0
6.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.072 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.073 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.073 * [backup-simplify]: Simplify (+ 0 0) into 0
6.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
6.074 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
6.075 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
6.075 * [taylor]: Taking taylor expansion of 0 in J
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.076 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.077 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.077 * [backup-simplify]: Simplify (- 0) into 0
6.077 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.080 * [backup-simplify]: Simplify (- 0) into 0
6.080 * [taylor]: Taking taylor expansion of 0 in K
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [taylor]: Taking taylor expansion of 0 in K
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
6.080 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
6.080 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
6.080 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
6.080 * [taylor]: Taking taylor expansion of 2 in K
6.081 * [backup-simplify]: Simplify 2 into 2
6.081 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
6.081 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.081 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.081 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.081 * [taylor]: Taking taylor expansion of -1/2 in K
6.081 * [backup-simplify]: Simplify -1/2 into -1/2
6.081 * [taylor]: Taking taylor expansion of K in K
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 1 into 1
6.081 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.081 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.081 * [taylor]: Taking taylor expansion of J in K
6.081 * [backup-simplify]: Simplify J into J
6.081 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.081 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.081 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.081 * [taylor]: Taking taylor expansion of 1 in K
6.081 * [backup-simplify]: Simplify 1 into 1
6.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.081 * [taylor]: Taking taylor expansion of 1/4 in K
6.081 * [backup-simplify]: Simplify 1/4 into 1/4
6.081 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.081 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.081 * [taylor]: Taking taylor expansion of J in K
6.081 * [backup-simplify]: Simplify J into J
6.081 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.081 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.081 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.081 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.081 * [taylor]: Taking taylor expansion of -1/2 in K
6.081 * [backup-simplify]: Simplify -1/2 into -1/2
6.081 * [taylor]: Taking taylor expansion of K in K
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 1 into 1
6.082 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.082 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.082 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.082 * [taylor]: Taking taylor expansion of U in K
6.082 * [backup-simplify]: Simplify U into U
6.082 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.082 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.082 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.082 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.082 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.083 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
6.083 * [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)))))
6.083 * [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))))))
6.083 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.083 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.083 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.084 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
6.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.084 * [backup-simplify]: Simplify (+ 0 0) into 0
6.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.085 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
6.085 * [taylor]: Taking taylor expansion of 2 in J
6.085 * [backup-simplify]: Simplify 2 into 2
6.085 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
6.085 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.085 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.085 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.085 * [taylor]: Taking taylor expansion of -1/2 in J
6.085 * [backup-simplify]: Simplify -1/2 into -1/2
6.085 * [taylor]: Taking taylor expansion of K in J
6.085 * [backup-simplify]: Simplify K into K
6.085 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.085 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.085 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.085 * [taylor]: Taking taylor expansion of J in J
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.085 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.085 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.085 * [backup-simplify]: Simplify (- 0) into 0
6.085 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.086 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.086 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.086 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.086 * [taylor]: Taking taylor expansion of 1 in J
6.086 * [backup-simplify]: Simplify 1 into 1
6.086 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.086 * [taylor]: Taking taylor expansion of 1/4 in J
6.086 * [backup-simplify]: Simplify 1/4 into 1/4
6.086 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.086 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.086 * [taylor]: Taking taylor expansion of J in J
6.086 * [backup-simplify]: Simplify 0 into 0
6.086 * [backup-simplify]: Simplify 1 into 1
6.086 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.086 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.086 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.086 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.086 * [taylor]: Taking taylor expansion of -1/2 in J
6.086 * [backup-simplify]: Simplify -1/2 into -1/2
6.086 * [taylor]: Taking taylor expansion of K in J
6.086 * [backup-simplify]: Simplify K into K
6.086 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.086 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.086 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.086 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.086 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.086 * [backup-simplify]: Simplify (- 0) into 0
6.086 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.086 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.086 * [taylor]: Taking taylor expansion of U in J
6.087 * [backup-simplify]: Simplify U into U
6.087 * [backup-simplify]: Simplify (* 1 1) into 1
6.087 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.087 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.087 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.087 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.087 * [backup-simplify]: Simplify (+ 1 0) into 1
6.088 * [backup-simplify]: Simplify (sqrt 1) into 1
6.088 * [backup-simplify]: Simplify (+ 0 0) into 0
6.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.088 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
6.088 * [taylor]: Taking taylor expansion of 2 in U
6.088 * [backup-simplify]: Simplify 2 into 2
6.089 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
6.089 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
6.089 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.089 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.089 * [taylor]: Taking taylor expansion of -1/2 in U
6.089 * [backup-simplify]: Simplify -1/2 into -1/2
6.089 * [taylor]: Taking taylor expansion of K in U
6.089 * [backup-simplify]: Simplify K into K
6.089 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.089 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.089 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.089 * [taylor]: Taking taylor expansion of J in U
6.089 * [backup-simplify]: Simplify J into J
6.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.089 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.089 * [backup-simplify]: Simplify (- 0) into 0
6.089 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.089 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.089 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.089 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.089 * [taylor]: Taking taylor expansion of 1 in U
6.089 * [backup-simplify]: Simplify 1 into 1
6.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.089 * [taylor]: Taking taylor expansion of 1/4 in U
6.089 * [backup-simplify]: Simplify 1/4 into 1/4
6.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.089 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.089 * [taylor]: Taking taylor expansion of J in U
6.089 * [backup-simplify]: Simplify J into J
6.090 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.090 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.090 * [taylor]: Taking taylor expansion of -1/2 in U
6.090 * [backup-simplify]: Simplify -1/2 into -1/2
6.090 * [taylor]: Taking taylor expansion of K in U
6.090 * [backup-simplify]: Simplify K into K
6.090 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.090 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.090 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.090 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.090 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.090 * [backup-simplify]: Simplify (- 0) into 0
6.090 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.090 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.090 * [taylor]: Taking taylor expansion of U in U
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 1 into 1
6.090 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.090 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.091 * [backup-simplify]: Simplify (* 1 1) into 1
6.091 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.091 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.091 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.091 * [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)))
6.091 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.091 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.092 * [backup-simplify]: Simplify (+ 0) into 0
6.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.093 * [backup-simplify]: Simplify (- 0) into 0
6.094 * [backup-simplify]: Simplify (+ 0 0) into 0
6.094 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.094 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.094 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.095 * [backup-simplify]: Simplify (+ 0 0) into 0
6.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.095 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
6.095 * [taylor]: Taking taylor expansion of 2 in U
6.095 * [backup-simplify]: Simplify 2 into 2
6.095 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
6.095 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
6.095 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.095 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.095 * [taylor]: Taking taylor expansion of -1/2 in U
6.095 * [backup-simplify]: Simplify -1/2 into -1/2
6.095 * [taylor]: Taking taylor expansion of K in U
6.095 * [backup-simplify]: Simplify K into K
6.095 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.095 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.095 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.096 * [taylor]: Taking taylor expansion of J in U
6.096 * [backup-simplify]: Simplify J into J
6.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.096 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.096 * [backup-simplify]: Simplify (- 0) into 0
6.096 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.096 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.096 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.096 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.096 * [taylor]: Taking taylor expansion of 1 in U
6.096 * [backup-simplify]: Simplify 1 into 1
6.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.096 * [taylor]: Taking taylor expansion of 1/4 in U
6.096 * [backup-simplify]: Simplify 1/4 into 1/4
6.096 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.096 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.096 * [taylor]: Taking taylor expansion of J in U
6.096 * [backup-simplify]: Simplify J into J
6.096 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.096 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.096 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.096 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.096 * [taylor]: Taking taylor expansion of -1/2 in U
6.096 * [backup-simplify]: Simplify -1/2 into -1/2
6.096 * [taylor]: Taking taylor expansion of K in U
6.096 * [backup-simplify]: Simplify K into K
6.096 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.096 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.096 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.097 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.097 * [backup-simplify]: Simplify (- 0) into 0
6.097 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.097 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.097 * [taylor]: Taking taylor expansion of U in U
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 1 into 1
6.097 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.097 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.097 * [backup-simplify]: Simplify (* 1 1) into 1
6.097 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.097 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.098 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.098 * [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)))
6.098 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.098 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.099 * [backup-simplify]: Simplify (+ 0) into 0
6.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.100 * [backup-simplify]: Simplify (- 0) into 0
6.100 * [backup-simplify]: Simplify (+ 0 0) into 0
6.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.101 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.101 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.102 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.102 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
6.102 * [backup-simplify]: Simplify (* 2 1/2) into 1
6.102 * [taylor]: Taking taylor expansion of 1 in J
6.102 * [backup-simplify]: Simplify 1 into 1
6.103 * [backup-simplify]: Simplify (+ 0) into 0
6.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.104 * [backup-simplify]: Simplify (- 0) into 0
6.104 * [backup-simplify]: Simplify (+ 0 0) into 0
6.104 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
6.105 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.105 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
6.105 * [taylor]: Taking taylor expansion of 0 in J
6.105 * [backup-simplify]: Simplify 0 into 0
6.105 * [taylor]: Taking taylor expansion of 1 in K
6.105 * [backup-simplify]: Simplify 1 into 1
6.105 * [backup-simplify]: Simplify 1 into 1
6.105 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.108 * [backup-simplify]: Simplify (- 0) into 0
6.108 * [backup-simplify]: Simplify (+ 0 0) into 0
6.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.109 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.110 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.110 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.110 * [backup-simplify]: Simplify (+ 1 0) into 1
6.111 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.113 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.114 * [backup-simplify]: Simplify (- 0) into 0
6.114 * [backup-simplify]: Simplify (+ 0 0) into 0
6.114 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.115 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
6.116 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
6.116 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
6.116 * [taylor]: Taking taylor expansion of 2 in J
6.116 * [backup-simplify]: Simplify 2 into 2
6.116 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
6.116 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.116 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.116 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.116 * [taylor]: Taking taylor expansion of -1/2 in J
6.116 * [backup-simplify]: Simplify -1/2 into -1/2
6.116 * [taylor]: Taking taylor expansion of K in J
6.116 * [backup-simplify]: Simplify K into K
6.116 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.116 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.116 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.116 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.116 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.117 * [backup-simplify]: Simplify (- 0) into 0
6.117 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.117 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.117 * [taylor]: Taking taylor expansion of J in J
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify 1 into 1
6.117 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.118 * [backup-simplify]: Simplify (* 1 1) into 1
6.118 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.118 * [backup-simplify]: Simplify (+ 0) into 0
6.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.120 * [backup-simplify]: Simplify (- 0) into 0
6.121 * [backup-simplify]: Simplify (+ 0 0) into 0
6.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
6.123 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
6.123 * [taylor]: Taking taylor expansion of 0 in K
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [taylor]: Taking taylor expansion of 0 in K
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [taylor]: Taking taylor expansion of 0 in K
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.126 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.127 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.130 * [backup-simplify]: Simplify (- 0) into 0
6.130 * [backup-simplify]: Simplify (+ 0 0) into 0
6.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.132 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.132 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.134 * [backup-simplify]: Simplify (+ 0 0) into 0
6.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.135 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.138 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.138 * [backup-simplify]: Simplify (- 0) into 0
6.138 * [backup-simplify]: Simplify (+ 0 0) into 0
6.139 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.139 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
6.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
6.140 * [taylor]: Taking taylor expansion of 0 in J
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.142 * [backup-simplify]: Simplify (- 0) into 0
6.142 * [backup-simplify]: Simplify (+ 0 0) into 0
6.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
6.145 * [taylor]: Taking taylor expansion of 0 in K
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [taylor]: Taking taylor expansion of 0 in K
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
6.145 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
6.145 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
6.145 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
6.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.145 * [taylor]: Taking taylor expansion of 1/4 in K
6.145 * [backup-simplify]: Simplify 1/4 into 1/4
6.145 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.145 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.145 * [taylor]: Taking taylor expansion of U in K
6.145 * [backup-simplify]: Simplify U into U
6.145 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.146 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.146 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.146 * [taylor]: Taking taylor expansion of 1/2 in K
6.146 * [backup-simplify]: Simplify 1/2 into 1/2
6.146 * [taylor]: Taking taylor expansion of K in K
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.146 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.146 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.146 * [taylor]: Taking taylor expansion of J in K
6.146 * [backup-simplify]: Simplify J into J
6.146 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.147 * [backup-simplify]: Simplify (* 1 1) into 1
6.147 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.147 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.147 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.147 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.147 * [taylor]: Taking taylor expansion of 1/4 in J
6.147 * [backup-simplify]: Simplify 1/4 into 1/4
6.147 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.147 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.147 * [taylor]: Taking taylor expansion of U in J
6.147 * [backup-simplify]: Simplify U into U
6.147 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.147 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.147 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.147 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.147 * [taylor]: Taking taylor expansion of 1/2 in J
6.147 * [backup-simplify]: Simplify 1/2 into 1/2
6.147 * [taylor]: Taking taylor expansion of K in J
6.147 * [backup-simplify]: Simplify K into K
6.147 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.147 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.147 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.147 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.148 * [backup-simplify]: Simplify (- 0) into 0
6.148 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.148 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.148 * [taylor]: Taking taylor expansion of J in J
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 1 into 1
6.148 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.148 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.148 * [backup-simplify]: Simplify (* 1 1) into 1
6.148 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.148 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.148 * [taylor]: Taking taylor expansion of 1/4 in U
6.148 * [backup-simplify]: Simplify 1/4 into 1/4
6.148 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.148 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.148 * [taylor]: Taking taylor expansion of U in U
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 1 into 1
6.148 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.149 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.149 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.149 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.149 * [taylor]: Taking taylor expansion of 1/2 in U
6.149 * [backup-simplify]: Simplify 1/2 into 1/2
6.149 * [taylor]: Taking taylor expansion of K in U
6.149 * [backup-simplify]: Simplify K into K
6.149 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.149 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.149 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.149 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.149 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.149 * [backup-simplify]: Simplify (- 0) into 0
6.149 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.149 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.149 * [taylor]: Taking taylor expansion of J in U
6.149 * [backup-simplify]: Simplify J into J
6.149 * [backup-simplify]: Simplify (* 1 1) into 1
6.150 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.150 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.150 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.150 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.150 * [taylor]: Taking taylor expansion of 1/4 in U
6.150 * [backup-simplify]: Simplify 1/4 into 1/4
6.150 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.150 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.150 * [taylor]: Taking taylor expansion of U in U
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.150 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.150 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.150 * [taylor]: Taking taylor expansion of 1/2 in U
6.150 * [backup-simplify]: Simplify 1/2 into 1/2
6.150 * [taylor]: Taking taylor expansion of K in U
6.150 * [backup-simplify]: Simplify K into K
6.150 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.150 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.150 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.150 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.150 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.151 * [backup-simplify]: Simplify (- 0) into 0
6.151 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.151 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.151 * [taylor]: Taking taylor expansion of J in U
6.151 * [backup-simplify]: Simplify J into J
6.151 * [backup-simplify]: Simplify (* 1 1) into 1
6.151 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.151 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.151 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.151 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.151 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.151 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.151 * [taylor]: Taking taylor expansion of 1/4 in J
6.151 * [backup-simplify]: Simplify 1/4 into 1/4
6.151 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.152 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.152 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.152 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.152 * [taylor]: Taking taylor expansion of 1/2 in J
6.152 * [backup-simplify]: Simplify 1/2 into 1/2
6.152 * [taylor]: Taking taylor expansion of K in J
6.152 * [backup-simplify]: Simplify K into K
6.152 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.152 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.152 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.152 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.152 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.152 * [backup-simplify]: Simplify (- 0) into 0
6.152 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.152 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.152 * [taylor]: Taking taylor expansion of J in J
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.153 * [backup-simplify]: Simplify (* 1 1) into 1
6.153 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.153 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
6.153 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
6.153 * [taylor]: Taking taylor expansion of 1/4 in K
6.153 * [backup-simplify]: Simplify 1/4 into 1/4
6.153 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.153 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.153 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.153 * [taylor]: Taking taylor expansion of 1/2 in K
6.153 * [backup-simplify]: Simplify 1/2 into 1/2
6.153 * [taylor]: Taking taylor expansion of K in K
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.154 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.154 * [backup-simplify]: Simplify (* 1 1) into 1
6.154 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.154 * [backup-simplify]: Simplify 1/4 into 1/4
6.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.155 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.155 * [backup-simplify]: Simplify (+ 0) into 0
6.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.156 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.157 * [backup-simplify]: Simplify (- 0) into 0
6.157 * [backup-simplify]: Simplify (+ 0 0) into 0
6.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.157 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.157 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.158 * [taylor]: Taking taylor expansion of 0 in J
6.158 * [backup-simplify]: Simplify 0 into 0
6.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.162 * [backup-simplify]: Simplify (+ 0) into 0
6.162 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.163 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.164 * [backup-simplify]: Simplify (- 0) into 0
6.164 * [backup-simplify]: Simplify (+ 0 0) into 0
6.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.164 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.165 * [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
6.165 * [taylor]: Taking taylor expansion of 0 in K
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify (+ 0) into 0
6.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.166 * [backup-simplify]: Simplify 0 into 0
6.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.167 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.168 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.168 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.169 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.170 * [backup-simplify]: Simplify (- 0) into 0
6.170 * [backup-simplify]: Simplify (+ 0 0) into 0
6.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.171 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
6.171 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.172 * [taylor]: Taking taylor expansion of 0 in J
6.172 * [backup-simplify]: Simplify 0 into 0
6.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.173 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.175 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.175 * [backup-simplify]: Simplify (- 0) into 0
6.175 * [backup-simplify]: Simplify (+ 0 0) into 0
6.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.176 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.176 * [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
6.176 * [taylor]: Taking taylor expansion of 0 in K
6.176 * [backup-simplify]: Simplify 0 into 0
6.176 * [backup-simplify]: Simplify 0 into 0
6.176 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
6.178 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
6.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
6.179 * [backup-simplify]: Simplify 1/16 into 1/16
6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.181 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.182 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.186 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.187 * [backup-simplify]: Simplify (- 0) into 0
6.187 * [backup-simplify]: Simplify (+ 0 0) into 0
6.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
6.189 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
6.190 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.191 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
6.191 * [taylor]: Taking taylor expansion of 0 in J
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [taylor]: Taking taylor expansion of 0 in K
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.194 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.198 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.198 * [backup-simplify]: Simplify (- 0) into 0
6.198 * [backup-simplify]: Simplify (+ 0 0) into 0
6.199 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
6.200 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.201 * [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
6.201 * [taylor]: Taking taylor expansion of 0 in K
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
6.202 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
6.204 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.205 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
6.207 * [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
6.207 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
6.209 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.210 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
6.210 * [backup-simplify]: Simplify (- 0) into 0
6.210 * [backup-simplify]: Simplify (+ 0 0) into 0
6.211 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
6.212 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
6.212 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0
6.213 * [taylor]: Taking taylor expansion of 0 in J
6.213 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in K
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [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))))
6.214 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
6.214 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
6.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.214 * [taylor]: Taking taylor expansion of 1/4 in K
6.214 * [backup-simplify]: Simplify 1/4 into 1/4
6.214 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.214 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.214 * [taylor]: Taking taylor expansion of J in K
6.214 * [backup-simplify]: Simplify J into J
6.214 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.214 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.214 * [taylor]: Taking taylor expansion of U in K
6.214 * [backup-simplify]: Simplify U into U
6.214 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.214 * [taylor]: Taking taylor expansion of 1/2 in K
6.214 * [backup-simplify]: Simplify 1/2 into 1/2
6.214 * [taylor]: Taking taylor expansion of K in K
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.215 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.215 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.215 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.215 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.215 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.215 * [taylor]: Taking taylor expansion of 1/4 in J
6.215 * [backup-simplify]: Simplify 1/4 into 1/4
6.215 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.215 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.215 * [taylor]: Taking taylor expansion of J in J
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.215 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.215 * [taylor]: Taking taylor expansion of U in J
6.215 * [backup-simplify]: Simplify U into U
6.215 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.215 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.215 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.215 * [taylor]: Taking taylor expansion of 1/2 in J
6.215 * [backup-simplify]: Simplify 1/2 into 1/2
6.215 * [taylor]: Taking taylor expansion of K in J
6.216 * [backup-simplify]: Simplify K into K
6.216 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.216 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.216 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.216 * [backup-simplify]: Simplify (- 0) into 0
6.216 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.216 * [backup-simplify]: Simplify (* 1 1) into 1
6.216 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.217 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.217 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.217 * [taylor]: Taking taylor expansion of 1/4 in U
6.217 * [backup-simplify]: Simplify 1/4 into 1/4
6.217 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.217 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.217 * [taylor]: Taking taylor expansion of J in U
6.217 * [backup-simplify]: Simplify J into J
6.217 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.217 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.217 * [taylor]: Taking taylor expansion of U in U
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.217 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.217 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.217 * [taylor]: Taking taylor expansion of 1/2 in U
6.217 * [backup-simplify]: Simplify 1/2 into 1/2
6.217 * [taylor]: Taking taylor expansion of K in U
6.217 * [backup-simplify]: Simplify K into K
6.217 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.217 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.217 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.217 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.217 * [backup-simplify]: Simplify (- 0) into 0
6.218 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.218 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.218 * [backup-simplify]: Simplify (* 1 1) into 1
6.218 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.218 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.218 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.218 * [taylor]: Taking taylor expansion of 1/4 in U
6.218 * [backup-simplify]: Simplify 1/4 into 1/4
6.218 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.218 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.218 * [taylor]: Taking taylor expansion of J in U
6.218 * [backup-simplify]: Simplify J into J
6.218 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.218 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.218 * [taylor]: Taking taylor expansion of U in U
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.218 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.218 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.218 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.218 * [taylor]: Taking taylor expansion of 1/2 in U
6.218 * [backup-simplify]: Simplify 1/2 into 1/2
6.218 * [taylor]: Taking taylor expansion of K in U
6.218 * [backup-simplify]: Simplify K into K
6.218 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.219 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.219 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.219 * [backup-simplify]: Simplify (- 0) into 0
6.219 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.219 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.219 * [backup-simplify]: Simplify (* 1 1) into 1
6.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.219 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.220 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.220 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
6.220 * [taylor]: Taking taylor expansion of 1/4 in J
6.220 * [backup-simplify]: Simplify 1/4 into 1/4
6.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
6.220 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.220 * [taylor]: Taking taylor expansion of J in J
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify 1 into 1
6.220 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.220 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.220 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.220 * [taylor]: Taking taylor expansion of 1/2 in J
6.220 * [backup-simplify]: Simplify 1/2 into 1/2
6.220 * [taylor]: Taking taylor expansion of K in J
6.220 * [backup-simplify]: Simplify K into K
6.220 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.220 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.220 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.220 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.221 * [backup-simplify]: Simplify (- 0) into 0
6.221 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.221 * [backup-simplify]: Simplify (* 1 1) into 1
6.221 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.221 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
6.221 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
6.221 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
6.221 * [taylor]: Taking taylor expansion of 1/4 in K
6.221 * [backup-simplify]: Simplify 1/4 into 1/4
6.221 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.221 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.221 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.221 * [taylor]: Taking taylor expansion of 1/2 in K
6.221 * [backup-simplify]: Simplify 1/2 into 1/2
6.221 * [taylor]: Taking taylor expansion of K in K
6.221 * [backup-simplify]: Simplify 0 into 0
6.221 * [backup-simplify]: Simplify 1 into 1
6.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.222 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.222 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.222 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
6.222 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
6.222 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.222 * [backup-simplify]: Simplify (+ 0) into 0
6.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.224 * [backup-simplify]: Simplify (- 0) into 0
6.224 * [backup-simplify]: Simplify (+ 0 0) into 0
6.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.225 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.226 * [taylor]: Taking taylor expansion of 0 in J
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [taylor]: Taking taylor expansion of 0 in K
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.226 * [backup-simplify]: Simplify (+ 0) into 0
6.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.228 * [backup-simplify]: Simplify (- 0) into 0
6.228 * [backup-simplify]: Simplify (+ 0 0) into 0
6.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.228 * [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
6.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
6.229 * [taylor]: Taking taylor expansion of 0 in K
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.229 * [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
6.229 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.231 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.232 * [backup-simplify]: Simplify (- 0) into 0
6.232 * [backup-simplify]: Simplify (+ 0 0) into 0
6.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.234 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.235 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.235 * [taylor]: Taking taylor expansion of 0 in J
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [taylor]: Taking taylor expansion of 0 in K
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [taylor]: Taking taylor expansion of 0 in K
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.237 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.238 * [backup-simplify]: Simplify (- 0) into 0
6.238 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.238 * [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
6.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
6.239 * [taylor]: Taking taylor expansion of 0 in K
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [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))))
6.240 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
6.240 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
6.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.240 * [taylor]: Taking taylor expansion of 1/4 in K
6.240 * [backup-simplify]: Simplify 1/4 into 1/4
6.240 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.240 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.240 * [taylor]: Taking taylor expansion of J in K
6.240 * [backup-simplify]: Simplify J into J
6.240 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.240 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.240 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.240 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.240 * [taylor]: Taking taylor expansion of -1/2 in K
6.240 * [backup-simplify]: Simplify -1/2 into -1/2
6.240 * [taylor]: Taking taylor expansion of K in K
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.240 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.240 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.240 * [taylor]: Taking taylor expansion of U in K
6.240 * [backup-simplify]: Simplify U into U
6.240 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.240 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.241 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.241 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.241 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.241 * [taylor]: Taking taylor expansion of 1/4 in J
6.241 * [backup-simplify]: Simplify 1/4 into 1/4
6.241 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.241 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.241 * [taylor]: Taking taylor expansion of J in J
6.241 * [backup-simplify]: Simplify 0 into 0
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.241 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.241 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.241 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.241 * [taylor]: Taking taylor expansion of -1/2 in J
6.241 * [backup-simplify]: Simplify -1/2 into -1/2
6.241 * [taylor]: Taking taylor expansion of K in J
6.241 * [backup-simplify]: Simplify K into K
6.241 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.241 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.241 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.241 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.242 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.242 * [backup-simplify]: Simplify (- 0) into 0
6.242 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.242 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.242 * [taylor]: Taking taylor expansion of U in J
6.242 * [backup-simplify]: Simplify U into U
6.242 * [backup-simplify]: Simplify (* 1 1) into 1
6.243 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.243 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.243 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.243 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.243 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.243 * [taylor]: Taking taylor expansion of 1/4 in U
6.243 * [backup-simplify]: Simplify 1/4 into 1/4
6.243 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.243 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.243 * [taylor]: Taking taylor expansion of J in U
6.243 * [backup-simplify]: Simplify J into J
6.243 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.243 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.243 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.243 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.243 * [taylor]: Taking taylor expansion of -1/2 in U
6.243 * [backup-simplify]: Simplify -1/2 into -1/2
6.243 * [taylor]: Taking taylor expansion of K in U
6.243 * [backup-simplify]: Simplify K into K
6.243 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.243 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.243 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.244 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.244 * [backup-simplify]: Simplify (- 0) into 0
6.244 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.244 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.244 * [taylor]: Taking taylor expansion of U in U
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.244 * [backup-simplify]: Simplify (* 1 1) into 1
6.244 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.245 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.245 * [taylor]: Taking taylor expansion of 1/4 in U
6.245 * [backup-simplify]: Simplify 1/4 into 1/4
6.245 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.245 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.245 * [taylor]: Taking taylor expansion of J in U
6.245 * [backup-simplify]: Simplify J into J
6.245 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.245 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.245 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.245 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.245 * [taylor]: Taking taylor expansion of -1/2 in U
6.245 * [backup-simplify]: Simplify -1/2 into -1/2
6.245 * [taylor]: Taking taylor expansion of K in U
6.245 * [backup-simplify]: Simplify K into K
6.245 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.245 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.245 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.245 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.245 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.245 * [backup-simplify]: Simplify (- 0) into 0
6.245 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.245 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.245 * [taylor]: Taking taylor expansion of U in U
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.246 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.246 * [backup-simplify]: Simplify (* 1 1) into 1
6.246 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.246 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.246 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.246 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
6.246 * [taylor]: Taking taylor expansion of 1/4 in J
6.246 * [backup-simplify]: Simplify 1/4 into 1/4
6.246 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
6.246 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.246 * [taylor]: Taking taylor expansion of J in J
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.246 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.246 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.246 * [taylor]: Taking taylor expansion of -1/2 in J
6.246 * [backup-simplify]: Simplify -1/2 into -1/2
6.246 * [taylor]: Taking taylor expansion of K in J
6.247 * [backup-simplify]: Simplify K into K
6.247 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.247 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.247 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.247 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.247 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.247 * [backup-simplify]: Simplify (- 0) into 0
6.247 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.248 * [backup-simplify]: Simplify (* 1 1) into 1
6.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.248 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
6.248 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
6.248 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
6.248 * [taylor]: Taking taylor expansion of 1/4 in K
6.248 * [backup-simplify]: Simplify 1/4 into 1/4
6.248 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.248 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.248 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.248 * [taylor]: Taking taylor expansion of -1/2 in K
6.248 * [backup-simplify]: Simplify -1/2 into -1/2
6.248 * [taylor]: Taking taylor expansion of K in K
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.249 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.249 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.249 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
6.249 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
6.249 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (+ 0) into 0
6.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.251 * [backup-simplify]: Simplify (- 0) into 0
6.252 * [backup-simplify]: Simplify (+ 0 0) into 0
6.252 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.252 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.252 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.253 * [taylor]: Taking taylor expansion of 0 in J
6.253 * [backup-simplify]: Simplify 0 into 0
6.253 * [taylor]: Taking taylor expansion of 0 in K
6.253 * [backup-simplify]: Simplify 0 into 0
6.253 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.254 * [backup-simplify]: Simplify (+ 0) into 0
6.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.255 * [backup-simplify]: Simplify (- 0) into 0
6.256 * [backup-simplify]: Simplify (+ 0 0) into 0
6.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.256 * [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
6.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
6.256 * [taylor]: Taking taylor expansion of 0 in K
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.257 * [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
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.260 * [backup-simplify]: Simplify (- 0) into 0
6.260 * [backup-simplify]: Simplify (+ 0 0) into 0
6.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.261 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.261 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.262 * [taylor]: Taking taylor expansion of 0 in J
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [taylor]: Taking taylor expansion of 0 in K
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [taylor]: Taking taylor expansion of 0 in K
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.267 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.268 * [backup-simplify]: Simplify (- 0) into 0
6.269 * [backup-simplify]: Simplify (+ 0 0) into 0
6.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.269 * [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
6.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
6.270 * [taylor]: Taking taylor expansion of 0 in K
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [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))))
6.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2)
6.270 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
6.270 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
6.270 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
6.270 * [taylor]: Taking taylor expansion of 2 in K
6.270 * [backup-simplify]: Simplify 2 into 2
6.270 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
6.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.270 * [taylor]: Taking taylor expansion of 1/2 in K
6.270 * [backup-simplify]: Simplify 1/2 into 1/2
6.270 * [taylor]: Taking taylor expansion of K in K
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 1 into 1
6.271 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.271 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.271 * [taylor]: Taking taylor expansion of J in K
6.271 * [backup-simplify]: Simplify J into J
6.271 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
6.271 * [taylor]: Taking taylor expansion of 2 in J
6.271 * [backup-simplify]: Simplify 2 into 2
6.271 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.271 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.271 * [taylor]: Taking taylor expansion of 1/2 in J
6.271 * [backup-simplify]: Simplify 1/2 into 1/2
6.271 * [taylor]: Taking taylor expansion of K in J
6.271 * [backup-simplify]: Simplify K into K
6.271 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.271 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.272 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.272 * [taylor]: Taking taylor expansion of J in J
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 1 into 1
6.272 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
6.272 * [taylor]: Taking taylor expansion of 2 in J
6.272 * [backup-simplify]: Simplify 2 into 2
6.272 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.272 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.272 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.272 * [taylor]: Taking taylor expansion of 1/2 in J
6.272 * [backup-simplify]: Simplify 1/2 into 1/2
6.272 * [taylor]: Taking taylor expansion of K in J
6.272 * [backup-simplify]: Simplify K into K
6.272 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.272 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.272 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.272 * [taylor]: Taking taylor expansion of J in J
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 1 into 1
6.272 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.272 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.272 * [backup-simplify]: Simplify (- 0) into 0
6.272 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.272 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.273 * [backup-simplify]: Simplify (* 2 0) into 0
6.273 * [taylor]: Taking taylor expansion of 0 in K
6.273 * [backup-simplify]: Simplify 0 into 0
6.273 * [backup-simplify]: Simplify 0 into 0
6.273 * [backup-simplify]: Simplify (+ 0) into 0
6.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.275 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.275 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.276 * [backup-simplify]: Simplify (- 0) into 0
6.276 * [backup-simplify]: Simplify (+ 0 0) into 0
6.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.277 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
6.277 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
6.277 * [taylor]: Taking taylor expansion of 2 in K
6.277 * [backup-simplify]: Simplify 2 into 2
6.277 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.277 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.277 * [taylor]: Taking taylor expansion of 1/2 in K
6.277 * [backup-simplify]: Simplify 1/2 into 1/2
6.277 * [taylor]: Taking taylor expansion of K in K
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.278 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.278 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.279 * [backup-simplify]: Simplify (* 2 1) into 2
6.279 * [backup-simplify]: Simplify 2 into 2
6.279 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.283 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.283 * [backup-simplify]: Simplify (- 0) into 0
6.284 * [backup-simplify]: Simplify (+ 0 0) into 0
6.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
6.285 * [taylor]: Taking taylor expansion of 0 in K
6.285 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify (+ 0) into 0
6.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
6.286 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.292 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.292 * [backup-simplify]: Simplify (- 0) into 0
6.292 * [backup-simplify]: Simplify (+ 0 0) into 0
6.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
6.294 * [taylor]: Taking taylor expansion of 0 in K
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
6.295 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
6.295 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
6.295 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
6.295 * [taylor]: Taking taylor expansion of 2 in K
6.295 * [backup-simplify]: Simplify 2 into 2
6.295 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.295 * [taylor]: Taking taylor expansion of 1/2 in K
6.295 * [backup-simplify]: Simplify 1/2 into 1/2
6.295 * [taylor]: Taking taylor expansion of K in K
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 1 into 1
6.296 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.296 * [taylor]: Taking taylor expansion of J in K
6.296 * [backup-simplify]: Simplify J into J
6.296 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.296 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
6.296 * [taylor]: Taking taylor expansion of 2 in J
6.296 * [backup-simplify]: Simplify 2 into 2
6.296 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.296 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.296 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.296 * [taylor]: Taking taylor expansion of 1/2 in J
6.296 * [backup-simplify]: Simplify 1/2 into 1/2
6.296 * [taylor]: Taking taylor expansion of K in J
6.296 * [backup-simplify]: Simplify K into K
6.296 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.296 * [taylor]: Taking taylor expansion of J in J
6.296 * [backup-simplify]: Simplify 0 into 0
6.296 * [backup-simplify]: Simplify 1 into 1
6.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.297 * [backup-simplify]: Simplify (- 0) into 0
6.297 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.297 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.297 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
6.297 * [taylor]: Taking taylor expansion of 2 in J
6.297 * [backup-simplify]: Simplify 2 into 2
6.297 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.297 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.297 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.297 * [taylor]: Taking taylor expansion of 1/2 in J
6.297 * [backup-simplify]: Simplify 1/2 into 1/2
6.297 * [taylor]: Taking taylor expansion of K in J
6.297 * [backup-simplify]: Simplify K into K
6.297 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.297 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.298 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.298 * [taylor]: Taking taylor expansion of J in J
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 1 into 1
6.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.298 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.298 * [backup-simplify]: Simplify (- 0) into 0
6.298 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.298 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.298 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
6.299 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
6.299 * [taylor]: Taking taylor expansion of 2 in K
6.299 * [backup-simplify]: Simplify 2 into 2
6.299 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.299 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.299 * [taylor]: Taking taylor expansion of 1/2 in K
6.299 * [backup-simplify]: Simplify 1/2 into 1/2
6.299 * [taylor]: Taking taylor expansion of K in K
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 1 into 1
6.299 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.299 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.299 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
6.299 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
6.300 * [backup-simplify]: Simplify (+ 0) into 0
6.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.302 * [backup-simplify]: Simplify (- 0) into 0
6.303 * [backup-simplify]: Simplify (+ 0 0) into 0
6.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.304 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.304 * [taylor]: Taking taylor expansion of 0 in K
6.304 * [backup-simplify]: Simplify 0 into 0
6.304 * [backup-simplify]: Simplify 0 into 0
6.305 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.305 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.309 * [backup-simplify]: Simplify (- 0) into 0
6.309 * [backup-simplify]: Simplify (+ 0 0) into 0
6.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.311 * [taylor]: Taking taylor expansion of 0 in K
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.312 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.317 * [backup-simplify]: Simplify (- 0) into 0
6.317 * [backup-simplify]: Simplify (+ 0 0) into 0
6.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.321 * [taylor]: Taking taylor expansion of 0 in K
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
6.321 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
6.321 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
6.321 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
6.321 * [taylor]: Taking taylor expansion of -2 in K
6.321 * [backup-simplify]: Simplify -2 into -2
6.321 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.321 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.321 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.321 * [taylor]: Taking taylor expansion of -1/2 in K
6.321 * [backup-simplify]: Simplify -1/2 into -1/2
6.321 * [taylor]: Taking taylor expansion of K in K
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.322 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.322 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.322 * [taylor]: Taking taylor expansion of J in K
6.322 * [backup-simplify]: Simplify J into J
6.322 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.322 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
6.322 * [taylor]: Taking taylor expansion of -2 in J
6.322 * [backup-simplify]: Simplify -2 into -2
6.322 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.322 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.322 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.322 * [taylor]: Taking taylor expansion of -1/2 in J
6.322 * [backup-simplify]: Simplify -1/2 into -1/2
6.322 * [taylor]: Taking taylor expansion of K in J
6.322 * [backup-simplify]: Simplify K into K
6.322 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.322 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.322 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.323 * [taylor]: Taking taylor expansion of J in J
6.323 * [backup-simplify]: Simplify 0 into 0
6.323 * [backup-simplify]: Simplify 1 into 1
6.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.323 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.323 * [backup-simplify]: Simplify (- 0) into 0
6.323 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.323 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.323 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
6.323 * [taylor]: Taking taylor expansion of -2 in J
6.323 * [backup-simplify]: Simplify -2 into -2
6.323 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.323 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.323 * [taylor]: Taking taylor expansion of -1/2 in J
6.324 * [backup-simplify]: Simplify -1/2 into -1/2
6.324 * [taylor]: Taking taylor expansion of K in J
6.324 * [backup-simplify]: Simplify K into K
6.324 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.324 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.324 * [taylor]: Taking taylor expansion of J in J
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 1 into 1
6.324 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.324 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.324 * [backup-simplify]: Simplify (- 0) into 0
6.324 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.325 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.325 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
6.325 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
6.325 * [taylor]: Taking taylor expansion of -2 in K
6.325 * [backup-simplify]: Simplify -2 into -2
6.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.325 * [taylor]: Taking taylor expansion of -1/2 in K
6.325 * [backup-simplify]: Simplify -1/2 into -1/2
6.325 * [taylor]: Taking taylor expansion of K in K
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 1 into 1
6.325 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.325 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
6.325 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
6.326 * [backup-simplify]: Simplify (+ 0) into 0
6.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.327 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.327 * [backup-simplify]: Simplify (- 0) into 0
6.327 * [backup-simplify]: Simplify (+ 0 0) into 0
6.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.328 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.328 * [taylor]: Taking taylor expansion of 0 in K
6.328 * [backup-simplify]: Simplify 0 into 0
6.328 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.331 * [backup-simplify]: Simplify (- 0) into 0
6.331 * [backup-simplify]: Simplify (+ 0 0) into 0
6.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.333 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.333 * [taylor]: Taking taylor expansion of 0 in K
6.333 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.333 * [backup-simplify]: Simplify 0 into 0
6.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.336 * [backup-simplify]: Simplify (- 0) into 0
6.337 * [backup-simplify]: Simplify (+ 0 0) into 0
6.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.339 * [taylor]: Taking taylor expansion of 0 in K
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
6.339 * * * [progress]: simplifying candidates
6.339 * * * * [progress]: [ 1 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 2 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 3 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 4 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 5 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 6 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 7 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 8 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 9 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 10 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cos (/ K 2))) (* -2 J)))>
6.339 * * * * [progress]: [ 11 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))>
6.340 * * * * [progress]: [ 12 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (cos (/ K 2))) (* -2 J)))>
6.340 * * * * [progress]: [ 13 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.340 * * * * [progress]: [ 14 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))>
6.340 * * * * [progress]: [ 15 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))>
6.340 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))>
6.340 * * * * [progress]: [ 17 / 143 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))>
6.340 * * * * [progress]: [ 18 / 143 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))>
6.340 * * * * [progress]: [ 19 / 143 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))>
6.340 * * * * [progress]: [ 20 / 143 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))>
6.340 * * * * [progress]: [ 21 / 143 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))>
6.340 * * * * [progress]: [ 22 / 143 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (+ (log -2) (log J)))))>
6.340 * * * * [progress]: [ 23 / 143 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (log (* -2 J)))))>
6.340 * * * * [progress]: [ 24 / 143 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (+ (log -2) (log J)))))>
6.340 * * * * [progress]: [ 25 / 143 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (log (* -2 J)))))>
6.340 * * * * [progress]: [ 26 / 143 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.340 * * * * [progress]: [ 27 / 143 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.340 * * * * [progress]: [ 28 / 143 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))))>
6.340 * * * * [progress]: [ 29 / 143 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))))>
6.340 * * * * [progress]: [ 30 / 143 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))))>
6.340 * * * * [progress]: [ 31 / 143 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))))>
6.340 * * * * [progress]: [ 32 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.340 * * * * [progress]: [ 33 / 143 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.341 * * * * [progress]: [ 34 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.341 * * * * [progress]: [ 35 / 143 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))))>
6.341 * * * * [progress]: [ 36 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) -2) J))>
6.341 * * * * [progress]: [ 37 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
6.341 * * * * [progress]: [ 38 / 143 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (cos (/ K 2))) (* -2 J)) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
6.341 * * * * [progress]: [ 39 / 143 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (cos (/ K 2))) (* -2 J)) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
6.341 * * * * [progress]: [ 40 / 143 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.341 * * * * [progress]: [ 41 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))))>
6.341 * * * * [progress]: [ 42 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 43 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 44 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 45 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 46 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 47 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 48 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 49 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 50 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 51 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 52 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 53 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.341 * * * * [progress]: [ 54 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 55 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 56 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 57 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 58 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 59 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 60 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 61 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 62 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 63 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 64 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (log (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 65 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 66 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 67 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 68 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 69 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 70 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 71 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 72 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 73 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.342 * * * * [progress]: [ 74 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 75 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 76 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 77 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 78 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 79 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 80 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 81 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 82 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 83 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 84 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 85 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 86 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 87 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 88 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 89 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ (sqrt U) (* J 2)) (/ (sqrt U) (* J 2))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 90 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ 1 (* J 2)) (/ 1 (* J 2))) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 91 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* 1 1) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 92 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ 1 (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 93 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 94 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (* 2 1)) 1)) (cos (/ K 2))) (* -2 J)))>
6.343 * * * * [progress]: [ 95 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 96 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 97 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2))) (/ (cbrt U) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 98 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) (* J 2))) (/ (sqrt U) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 99 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 (* J 2))) (/ U (cos (/ K 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 100 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) 1) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 101 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (/ 1 (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 102 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 103 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 104 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (* (/ (cbrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 105 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) (* J 2)) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 106 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ 1 (* J 2)) (* (/ U (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 107 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 108 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* U (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 109 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (* J 2) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 110 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (/ (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (posit16->real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 112 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 113 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 114 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 115 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 116 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.344 * * * * [progress]: [ 117 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 118 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (log (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 119 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (log (exp (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 120 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 121 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 122 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 123 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 124 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 125 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 1 (* (* J 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 126 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 127 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 128 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) 1) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 129 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 131 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (cos (/ K 2)) (* J 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 132 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 133 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 134 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 135 / 143 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
6.345 * * * * [progress]: [ 136 / 143 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
6.345 * * * * [progress]: [ 137 / 143 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
6.345 * * * * [progress]: [ 138 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 139 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.345 * * * * [progress]: [ 140 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.346 * * * * [progress]: [ 141 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 J))) 1)) (cos (/ K 2))) (* -2 J)))>
6.346 * * * * [progress]: [ 142 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.346 * * * * [progress]: [ 143 / 143 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cos (/ K 2))) (* -2 J)))>
6.347 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ 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)) (sqrt (+ (* (/ 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)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ 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)) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))
  (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (+ (log -2) (log J)))
  (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (log (* -2 J)))
  (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (+ (log -2) (log J)))
  (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (log (* -2 J)))
  (log (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (exp (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))
  (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))
  (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))
  (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))
  (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))))
  (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) -2)
  (* (cos (/ K 2)) (* -2 J))
  (* (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (cos (/ K 2))) (* -2 J))
  (real->posit16 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (+ 1 1)
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))
  (+ 1 1)
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))
  (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))
  (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* U U)
  (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))
  (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))))
  (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))
  (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 2)))
  (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* J 2)) (/ (sqrt U) (* J 2)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ 1 (* J 2)) (/ 1 (* J 2)))
  (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))
  (* 1 1)
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* U U)
  (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ 1 (* (* J 2) (cos (/ K 2)))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))
  (* 2 1)
  (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2)))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) (* J 2)))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 (* J 2)))
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  (* (/ U (* (* J 2) (cos (/ K 2)))) U)
  (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (/ (cbrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (/ U (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) U)
  (* U (/ U (* (* J 2) (cos (/ K 2)))))
  (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))
  (* (* J 2) (cos (/ K 2)))
  (* (* J 2) (cos (/ K 2)))
  (+ (+ (log J) (log 2)) (log (cos (/ K 2))))
  (+ (log (* J 2)) (log (cos (/ K 2))))
  (log (* (* J 2) (cos (/ K 2))))
  (exp (* (* J 2) (cos (/ K 2))))
  (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2)))))
  (cbrt (* (* J 2) (cos (/ K 2))))
  (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))
  (sqrt (* (* J 2) (cos (/ K 2))))
  (sqrt (* (* J 2) (cos (/ K 2))))
  (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (* (* J 2) (sqrt (cos (/ K 2))))
  (* (* J 2) 1)
  (* 2 (cos (/ K 2)))
  (real->posit16 (* (* J 2) (cos (/ K 2))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
  (* -1 U)
  (* -1 U)
  (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
  (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
  (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
  (* 2 J)
  (* 2 (* (cos (* 1/2 K)) J))
  (* 2 (* (cos (* 1/2 K)) J))
6.351 * * [simplify]: iteration 1: (231 enodes)
6.450 * * [simplify]: iteration 2: (664 enodes)
7.066 * * [simplify]: Extracting #0: cost 83 inf + 0
7.067 * * [simplify]: Extracting #1: cost 677 inf + 3
7.077 * * [simplify]: Extracting #2: cost 982 inf + 5537
7.088 * * [simplify]: Extracting #3: cost 819 inf + 30186
7.107 * * [simplify]: Extracting #4: cost 760 inf + 40191
7.129 * * [simplify]: Extracting #5: cost 543 inf + 96760
7.169 * * [simplify]: Extracting #6: cost 212 inf + 219783
7.236 * * [simplify]: Extracting #7: cost 57 inf + 287906
7.324 * * [simplify]: Extracting #8: cost 1 inf + 318286
7.430 * * [simplify]: Extracting #9: cost 0 inf + 318661
7.531 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ 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)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (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))))) (- 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J)))
  (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J)))
  (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J)))
  (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J)))
  (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (exp (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* (* (* J J) -8) J)))))
  (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (* -2 J) (* (* -2 J) (* -2 J))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))))
  (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* (* (* J J) -8) J)))))
  (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (* -2 J) (* (* -2 J) (* -2 J))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))))
  (* (cbrt (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J)))) (cbrt (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J)))))
  (cbrt (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (* (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (sqrt (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (sqrt (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  (* (* -2 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cos (/ K 2)))
  (* (cos (/ K 2)) (* -2 J))
  (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))
  (* (* (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))))))) (* (cos (/ K 2)) -2)) J)
  (real->posit16 (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))
  2
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  2
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (log (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (* (/ (/ 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))) (/ (/ 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))) (/ (/ 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))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (* (/ (/ 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))) (/ (/ 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))) (/ (/ 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))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))) U) (* (* (/ (/ 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))) (/ (/ 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))) (/ (/ 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))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (cbrt (* (/ (/ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (* (cbrt U) (cbrt U)) (* 2 J)))
  (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ 1/2 J) (/ 1/2 J))
  (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))
  1
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  2
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ U (* 2 J))) (cos (/ K 2)))
  (/ (* (/ U (* 2 J)) (/ (sqrt U) (* 2 J))) (cos (/ K 2)))
  (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (* U (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (cbrt U) (/ (cos (/ K 2)) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ (sqrt U) (cos (/ K 2))) (cos (/ K 2))) (/ U (* 2 J)))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (/ (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (cos (/ K 2)))
  (* U (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U (/ (/ U (* 2 J)) (cos (/ K 2))))
  (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (cos (/ K 2)) J) 2)
  (* (* (cos (/ K 2)) J) 2)
  (log (* (* (cos (/ K 2)) J) 2))
  (log (* (* (cos (/ K 2)) J) 2))
  (log (* (* (cos (/ K 2)) J) 2))
  (exp (* (* (cos (/ K 2)) J) 2))
  (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J)))))
  (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))
  (* (cbrt (* (* (cos (/ K 2)) J) 2)) (cbrt (* (* (cos (/ K 2)) J) 2)))
  (cbrt (* (* (cos (/ K 2)) J) 2))
  (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))
  (sqrt (* (* (cos (/ K 2)) J) 2))
  (sqrt (* (* (cos (/ K 2)) J) 2))
  (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* 2 J)))
  (* 2 (* J (sqrt (cos (/ K 2)))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  (real->posit16 (* (* (cos (/ K 2)) J) 2))
  1
  (/ (* 1/2 (/ U (cos (* K 1/2)))) J)
  (/ (* 1/2 (/ U (cos (* K 1/2)))) J)
  (+ (* (/ (* U U) J) -1/4) (* -2 J))
  (- U)
  (- U)
  (+ (* (* (/ U J) (/ U J)) 1/4) (* (/ (* K K) (* (/ J U) (/ J U))) 1/16))
  (* (/ 1/4 (* J J)) (* (/ U (cos (* K 1/2))) (/ U (cos (* K 1/2)))))
  (* (/ 1/4 (* J J)) (* (/ U (cos (* K 1/2))) (/ U (cos (* K 1/2)))))
  (* 2 J)
  (* (* (cos (* K 1/2)) 2) J)
  (* (* (cos (* K 1/2)) 2) J)
7.556 * * * [progress]: adding candidates to table
8.598 * * [progress]: iteration 3 / 4
8.598 * * * [progress]: picking best candidate
8.639 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
8.639 * * * [progress]: localizing error
8.706 * * * [progress]: generating rewritten candidates
8.707 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
8.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1)
9.011 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1)
9.130 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
9.493 * * * [progress]: generating series expansions
9.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
9.493 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
9.494 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
9.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
9.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
9.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
9.494 * [taylor]: Taking taylor expansion of 1/4 in K
9.494 * [backup-simplify]: Simplify 1/4 into 1/4
9.494 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
9.494 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.494 * [taylor]: Taking taylor expansion of U in K
9.494 * [backup-simplify]: Simplify U into U
9.494 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
9.494 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
9.494 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.494 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.494 * [taylor]: Taking taylor expansion of 1/2 in K
9.494 * [backup-simplify]: Simplify 1/2 into 1/2
9.494 * [taylor]: Taking taylor expansion of K in K
9.494 * [backup-simplify]: Simplify 0 into 0
9.494 * [backup-simplify]: Simplify 1 into 1
9.494 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.495 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.495 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.495 * [taylor]: Taking taylor expansion of J in K
9.495 * [backup-simplify]: Simplify J into J
9.495 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.495 * [backup-simplify]: Simplify (* 1 1) into 1
9.495 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.496 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
9.496 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
9.496 * [taylor]: Taking taylor expansion of 1 in K
9.496 * [backup-simplify]: Simplify 1 into 1
9.496 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
9.496 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
9.496 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
9.496 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.496 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.496 * [backup-simplify]: Simplify (+ 0) into 0
9.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
9.498 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
9.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
9.501 * [backup-simplify]: Simplify (+ 0 0) into 0
9.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
9.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
9.501 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
9.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
9.501 * [taylor]: Taking taylor expansion of 1/4 in J
9.501 * [backup-simplify]: Simplify 1/4 into 1/4
9.501 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.501 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.501 * [taylor]: Taking taylor expansion of U in J
9.501 * [backup-simplify]: Simplify U into U
9.501 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.501 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.501 * [taylor]: Taking taylor expansion of 1/2 in J
9.501 * [backup-simplify]: Simplify 1/2 into 1/2
9.501 * [taylor]: Taking taylor expansion of K in J
9.501 * [backup-simplify]: Simplify K into K
9.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.502 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.502 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.502 * [backup-simplify]: Simplify (- 0) into 0
9.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.502 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.502 * [taylor]: Taking taylor expansion of J in J
9.502 * [backup-simplify]: Simplify 0 into 0
9.502 * [backup-simplify]: Simplify 1 into 1
9.502 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.503 * [backup-simplify]: Simplify (* 1 1) into 1
9.503 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.503 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
9.503 * [taylor]: Taking taylor expansion of 1 in J
9.503 * [backup-simplify]: Simplify 1 into 1
9.503 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.503 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.504 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
9.504 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.505 * [backup-simplify]: Simplify (+ 0) into 0
9.505 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.507 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.507 * [backup-simplify]: Simplify (- 0) into 0
9.508 * [backup-simplify]: Simplify (+ 0 0) into 0
9.508 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.508 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.508 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
9.509 * [backup-simplify]: Simplify (+ 0 0) into 0
9.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
9.510 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.510 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.510 * [taylor]: Taking taylor expansion of 1/4 in U
9.510 * [backup-simplify]: Simplify 1/4 into 1/4
9.510 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.510 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.510 * [taylor]: Taking taylor expansion of U in U
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.510 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.510 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.510 * [taylor]: Taking taylor expansion of 1/2 in U
9.510 * [backup-simplify]: Simplify 1/2 into 1/2
9.510 * [taylor]: Taking taylor expansion of K in U
9.510 * [backup-simplify]: Simplify K into K
9.510 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.510 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.510 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.510 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.511 * [backup-simplify]: Simplify (- 0) into 0
9.511 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.511 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.511 * [taylor]: Taking taylor expansion of J in U
9.511 * [backup-simplify]: Simplify J into J
9.511 * [backup-simplify]: Simplify (* 1 1) into 1
9.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.511 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.512 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.512 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.512 * [taylor]: Taking taylor expansion of 1 in U
9.512 * [backup-simplify]: Simplify 1 into 1
9.512 * [backup-simplify]: Simplify (+ 0 1) into 1
9.513 * [backup-simplify]: Simplify (sqrt 1) into 1
9.513 * [backup-simplify]: Simplify (+ 0 0) into 0
9.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.513 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.513 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.513 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.513 * [taylor]: Taking taylor expansion of 1/4 in U
9.513 * [backup-simplify]: Simplify 1/4 into 1/4
9.513 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.513 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.513 * [taylor]: Taking taylor expansion of U in U
9.513 * [backup-simplify]: Simplify 0 into 0
9.513 * [backup-simplify]: Simplify 1 into 1
9.513 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.513 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.514 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.514 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.514 * [taylor]: Taking taylor expansion of 1/2 in U
9.514 * [backup-simplify]: Simplify 1/2 into 1/2
9.514 * [taylor]: Taking taylor expansion of K in U
9.514 * [backup-simplify]: Simplify K into K
9.514 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.514 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.514 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.514 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.514 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.514 * [backup-simplify]: Simplify (- 0) into 0
9.514 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.514 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.514 * [taylor]: Taking taylor expansion of J in U
9.514 * [backup-simplify]: Simplify J into J
9.514 * [backup-simplify]: Simplify (* 1 1) into 1
9.515 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.515 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.515 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.515 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.515 * [taylor]: Taking taylor expansion of 1 in U
9.515 * [backup-simplify]: Simplify 1 into 1
9.515 * [backup-simplify]: Simplify (+ 0 1) into 1
9.515 * [backup-simplify]: Simplify (sqrt 1) into 1
9.516 * [backup-simplify]: Simplify (+ 0 0) into 0
9.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.516 * [taylor]: Taking taylor expansion of 1 in J
9.516 * [backup-simplify]: Simplify 1 into 1
9.516 * [taylor]: Taking taylor expansion of 0 in J
9.516 * [backup-simplify]: Simplify 0 into 0
9.516 * [taylor]: Taking taylor expansion of 1 in K
9.516 * [backup-simplify]: Simplify 1 into 1
9.516 * [backup-simplify]: Simplify 1 into 1
9.516 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.517 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
9.517 * [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)))
9.517 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.517 * [taylor]: Taking taylor expansion of 1/8 in J
9.517 * [backup-simplify]: Simplify 1/8 into 1/8
9.517 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.517 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.518 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.518 * [taylor]: Taking taylor expansion of 1/2 in J
9.518 * [backup-simplify]: Simplify 1/2 into 1/2
9.518 * [taylor]: Taking taylor expansion of K in J
9.518 * [backup-simplify]: Simplify K into K
9.518 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.518 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.518 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.518 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.518 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.518 * [backup-simplify]: Simplify (- 0) into 0
9.518 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.518 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.518 * [taylor]: Taking taylor expansion of J in J
9.518 * [backup-simplify]: Simplify 0 into 0
9.518 * [backup-simplify]: Simplify 1 into 1
9.518 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.519 * [backup-simplify]: Simplify (* 1 1) into 1
9.519 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.519 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
9.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.519 * [backup-simplify]: Simplify (+ 0) into 0
9.520 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.521 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.521 * [backup-simplify]: Simplify (- 0) into 0
9.521 * [backup-simplify]: Simplify (+ 0 0) into 0
9.521 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.522 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.522 * [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
9.522 * [taylor]: Taking taylor expansion of 0 in K
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [taylor]: Taking taylor expansion of 0 in K
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [taylor]: Taking taylor expansion of 0 in K
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.523 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.523 * [backup-simplify]: Simplify (+ 0) into 0
9.523 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.524 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.524 * [backup-simplify]: Simplify (- 0) into 0
9.525 * [backup-simplify]: Simplify (+ 0 0) into 0
9.525 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.525 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
9.525 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
9.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
9.526 * [backup-simplify]: Simplify (+ 0 0) into 0
9.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
9.526 * [taylor]: Taking taylor expansion of 0 in J
9.526 * [backup-simplify]: Simplify 0 into 0
9.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.528 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.528 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
9.529 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.530 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.530 * [backup-simplify]: Simplify (- 0) into 0
9.530 * [backup-simplify]: Simplify (+ 0 0) into 0
9.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
9.531 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.531 * [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
9.531 * [taylor]: Taking taylor expansion of 0 in K
9.531 * [backup-simplify]: Simplify 0 into 0
9.531 * [backup-simplify]: Simplify 0 into 0
9.531 * [taylor]: Taking taylor expansion of 0 in K
9.531 * [backup-simplify]: Simplify 0 into 0
9.531 * [backup-simplify]: Simplify 0 into 0
9.532 * [backup-simplify]: Simplify 1 into 1
9.532 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.532 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
9.532 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
9.532 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
9.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
9.532 * [taylor]: Taking taylor expansion of 1/4 in K
9.532 * [backup-simplify]: Simplify 1/4 into 1/4
9.532 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
9.532 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.532 * [taylor]: Taking taylor expansion of J in K
9.532 * [backup-simplify]: Simplify J into J
9.532 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
9.532 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.532 * [taylor]: Taking taylor expansion of U in K
9.532 * [backup-simplify]: Simplify U into U
9.532 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
9.532 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.532 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.532 * [taylor]: Taking taylor expansion of 1/2 in K
9.532 * [backup-simplify]: Simplify 1/2 into 1/2
9.532 * [taylor]: Taking taylor expansion of K in K
9.532 * [backup-simplify]: Simplify 0 into 0
9.532 * [backup-simplify]: Simplify 1 into 1
9.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.533 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.533 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.533 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.533 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.533 * [taylor]: Taking taylor expansion of 1 in K
9.533 * [backup-simplify]: Simplify 1 into 1
9.533 * [backup-simplify]: Simplify (* 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))))
9.533 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
9.534 * [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))
9.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.534 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.534 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.534 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.535 * [backup-simplify]: Simplify (+ 0 0) into 0
9.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
9.535 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
9.535 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
9.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
9.536 * [taylor]: Taking taylor expansion of 1/4 in J
9.536 * [backup-simplify]: Simplify 1/4 into 1/4
9.536 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
9.536 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.536 * [taylor]: Taking taylor expansion of J in J
9.536 * [backup-simplify]: Simplify 0 into 0
9.536 * [backup-simplify]: Simplify 1 into 1
9.536 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
9.536 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.536 * [taylor]: Taking taylor expansion of U in J
9.536 * [backup-simplify]: Simplify U into U
9.536 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
9.536 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.536 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.536 * [taylor]: Taking taylor expansion of 1/2 in J
9.536 * [backup-simplify]: Simplify 1/2 into 1/2
9.536 * [taylor]: Taking taylor expansion of K in J
9.536 * [backup-simplify]: Simplify K into K
9.536 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.536 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.536 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.536 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.536 * [backup-simplify]: Simplify (- 0) into 0
9.536 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.537 * [backup-simplify]: Simplify (* 1 1) into 1
9.537 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.537 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.537 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.537 * [taylor]: Taking taylor expansion of 1 in J
9.537 * [backup-simplify]: Simplify 1 into 1
9.538 * [backup-simplify]: Simplify (+ 0 1) into 1
9.538 * [backup-simplify]: Simplify (sqrt 1) into 1
9.539 * [backup-simplify]: Simplify (+ 0 0) into 0
9.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.540 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.540 * [taylor]: Taking taylor expansion of 1/4 in U
9.540 * [backup-simplify]: Simplify 1/4 into 1/4
9.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.540 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.540 * [taylor]: Taking taylor expansion of J in U
9.540 * [backup-simplify]: Simplify J into J
9.540 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.540 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.540 * [taylor]: Taking taylor expansion of U in U
9.540 * [backup-simplify]: Simplify 0 into 0
9.540 * [backup-simplify]: Simplify 1 into 1
9.540 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.540 * [taylor]: Taking taylor expansion of 1/2 in U
9.540 * [backup-simplify]: Simplify 1/2 into 1/2
9.540 * [taylor]: Taking taylor expansion of K in U
9.540 * [backup-simplify]: Simplify K into K
9.540 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.540 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.540 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.541 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.541 * [backup-simplify]: Simplify (- 0) into 0
9.541 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.541 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.542 * [backup-simplify]: Simplify (* 1 1) into 1
9.542 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.542 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.542 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.542 * [taylor]: Taking taylor expansion of 1 in U
9.543 * [backup-simplify]: Simplify 1 into 1
9.543 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.543 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.544 * [backup-simplify]: Simplify (+ 0) into 0
9.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.547 * [backup-simplify]: Simplify (- 0) into 0
9.548 * [backup-simplify]: Simplify (+ 0 0) into 0
9.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.549 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.550 * [backup-simplify]: Simplify (+ 0 0) into 0
9.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.551 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.551 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.551 * [taylor]: Taking taylor expansion of 1/4 in U
9.551 * [backup-simplify]: Simplify 1/4 into 1/4
9.551 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.551 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.551 * [taylor]: Taking taylor expansion of J in U
9.551 * [backup-simplify]: Simplify J into J
9.551 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.551 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.551 * [taylor]: Taking taylor expansion of U in U
9.551 * [backup-simplify]: Simplify 0 into 0
9.551 * [backup-simplify]: Simplify 1 into 1
9.551 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.551 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.551 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.551 * [taylor]: Taking taylor expansion of 1/2 in U
9.551 * [backup-simplify]: Simplify 1/2 into 1/2
9.551 * [taylor]: Taking taylor expansion of K in U
9.551 * [backup-simplify]: Simplify K into K
9.551 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.551 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.551 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.551 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.552 * [backup-simplify]: Simplify (- 0) into 0
9.552 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.552 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.552 * [backup-simplify]: Simplify (* 1 1) into 1
9.552 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.552 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.553 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.553 * [taylor]: Taking taylor expansion of 1 in U
9.553 * [backup-simplify]: Simplify 1 into 1
9.553 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.553 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.554 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.554 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.554 * [backup-simplify]: Simplify (+ 0) into 0
9.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.556 * [backup-simplify]: Simplify (- 0) into 0
9.557 * [backup-simplify]: Simplify (+ 0 0) into 0
9.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.558 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.559 * [backup-simplify]: Simplify (+ 0 0) into 0
9.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
9.560 * [taylor]: Taking taylor expansion of 1/2 in J
9.560 * [backup-simplify]: Simplify 1/2 into 1/2
9.560 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
9.560 * [taylor]: Taking taylor expansion of J in J
9.560 * [backup-simplify]: Simplify 0 into 0
9.560 * [backup-simplify]: Simplify 1 into 1
9.560 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.560 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.560 * [taylor]: Taking taylor expansion of 1/2 in J
9.560 * [backup-simplify]: Simplify 1/2 into 1/2
9.560 * [taylor]: Taking taylor expansion of K in J
9.560 * [backup-simplify]: Simplify K into K
9.560 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.560 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.560 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.560 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.560 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.561 * [backup-simplify]: Simplify (- 0) into 0
9.561 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.561 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
9.561 * [taylor]: Taking taylor expansion of 0 in J
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [taylor]: Taking taylor expansion of 0 in K
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
9.561 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
9.561 * [taylor]: Taking taylor expansion of 1/2 in K
9.561 * [backup-simplify]: Simplify 1/2 into 1/2
9.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.561 * [taylor]: Taking taylor expansion of 1/2 in K
9.561 * [backup-simplify]: Simplify 1/2 into 1/2
9.561 * [taylor]: Taking taylor expansion of K in K
9.561 * [backup-simplify]: Simplify 0 into 0
9.562 * [backup-simplify]: Simplify 1 into 1
9.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.562 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.562 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.563 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.566 * [backup-simplify]: Simplify (- 0) into 0
9.566 * [backup-simplify]: Simplify (+ 0 0) into 0
9.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
9.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
9.569 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.570 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.571 * [backup-simplify]: Simplify (+ 0 1) into 1
9.571 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
9.571 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
9.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.571 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.572 * [taylor]: Taking taylor expansion of 1/2 in J
9.572 * [backup-simplify]: Simplify 1/2 into 1/2
9.572 * [taylor]: Taking taylor expansion of K in J
9.572 * [backup-simplify]: Simplify K into K
9.572 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.572 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.572 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.572 * [taylor]: Taking taylor expansion of J in J
9.572 * [backup-simplify]: Simplify 0 into 0
9.572 * [backup-simplify]: Simplify 1 into 1
9.572 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.572 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.572 * [backup-simplify]: Simplify (- 0) into 0
9.572 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.573 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.573 * [backup-simplify]: Simplify (+ 0) into 0
9.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.574 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.575 * [backup-simplify]: Simplify (- 0) into 0
9.576 * [backup-simplify]: Simplify (+ 0 0) into 0
9.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
9.577 * [taylor]: Taking taylor expansion of 0 in K
9.577 * [backup-simplify]: Simplify 0 into 0
9.577 * [backup-simplify]: Simplify 0 into 0
9.577 * [taylor]: Taking taylor expansion of 0 in K
9.577 * [backup-simplify]: Simplify 0 into 0
9.577 * [backup-simplify]: Simplify 0 into 0
9.577 * [backup-simplify]: Simplify (+ 0) into 0
9.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.579 * [backup-simplify]: Simplify (- 0) into 0
9.580 * [backup-simplify]: Simplify (+ 0 0) into 0
9.580 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
9.581 * [taylor]: Taking taylor expansion of 0 in K
9.581 * [backup-simplify]: Simplify 0 into 0
9.581 * [backup-simplify]: Simplify 0 into 0
9.581 * [backup-simplify]: Simplify 0 into 0
9.581 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.581 * [backup-simplify]: Simplify 0 into 0
9.582 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.587 * [backup-simplify]: Simplify (- 0) into 0
9.587 * [backup-simplify]: Simplify (+ 0 0) into 0
9.588 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
9.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.592 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.593 * [backup-simplify]: Simplify (+ 0 0) into 0
9.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
9.594 * [taylor]: Taking taylor expansion of 0 in J
9.594 * [backup-simplify]: Simplify 0 into 0
9.594 * [taylor]: Taking taylor expansion of 0 in K
9.594 * [backup-simplify]: Simplify 0 into 0
9.594 * [backup-simplify]: Simplify 0 into 0
9.594 * [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)))
9.595 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.595 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
9.595 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
9.595 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
9.595 * [taylor]: Taking taylor expansion of 1 in K
9.595 * [backup-simplify]: Simplify 1 into 1
9.595 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
9.595 * [taylor]: Taking taylor expansion of 1/4 in K
9.595 * [backup-simplify]: Simplify 1/4 into 1/4
9.595 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
9.595 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.595 * [taylor]: Taking taylor expansion of J in K
9.595 * [backup-simplify]: Simplify J into J
9.595 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
9.595 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
9.595 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.595 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.596 * [taylor]: Taking taylor expansion of -1/2 in K
9.596 * [backup-simplify]: Simplify -1/2 into -1/2
9.596 * [taylor]: Taking taylor expansion of K in K
9.596 * [backup-simplify]: Simplify 0 into 0
9.596 * [backup-simplify]: Simplify 1 into 1
9.596 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.596 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.596 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.596 * [taylor]: Taking taylor expansion of U in K
9.596 * [backup-simplify]: Simplify U into U
9.596 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.597 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.597 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.597 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.597 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.597 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
9.598 * [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)))))
9.599 * [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))))))
9.599 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.599 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.600 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
9.601 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
9.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
9.602 * [backup-simplify]: Simplify (+ 0 0) into 0
9.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
9.603 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
9.603 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
9.603 * [taylor]: Taking taylor expansion of 1 in J
9.603 * [backup-simplify]: Simplify 1 into 1
9.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
9.603 * [taylor]: Taking taylor expansion of 1/4 in J
9.603 * [backup-simplify]: Simplify 1/4 into 1/4
9.603 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
9.603 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.603 * [taylor]: Taking taylor expansion of J in J
9.603 * [backup-simplify]: Simplify 0 into 0
9.603 * [backup-simplify]: Simplify 1 into 1
9.603 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
9.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
9.603 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.603 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.603 * [taylor]: Taking taylor expansion of -1/2 in J
9.603 * [backup-simplify]: Simplify -1/2 into -1/2
9.603 * [taylor]: Taking taylor expansion of K in J
9.603 * [backup-simplify]: Simplify K into K
9.604 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.604 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.604 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.604 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.604 * [backup-simplify]: Simplify (- 0) into 0
9.604 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.605 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.605 * [taylor]: Taking taylor expansion of U in J
9.605 * [backup-simplify]: Simplify U into U
9.605 * [backup-simplify]: Simplify (* 1 1) into 1
9.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.605 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.605 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.606 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.606 * [backup-simplify]: Simplify (+ 1 0) into 1
9.607 * [backup-simplify]: Simplify (sqrt 1) into 1
9.607 * [backup-simplify]: Simplify (+ 0 0) into 0
9.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.608 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.608 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.608 * [taylor]: Taking taylor expansion of 1 in U
9.608 * [backup-simplify]: Simplify 1 into 1
9.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.608 * [taylor]: Taking taylor expansion of 1/4 in U
9.608 * [backup-simplify]: Simplify 1/4 into 1/4
9.608 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.608 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.608 * [taylor]: Taking taylor expansion of J in U
9.608 * [backup-simplify]: Simplify J into J
9.608 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.608 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.608 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.608 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.608 * [taylor]: Taking taylor expansion of -1/2 in U
9.608 * [backup-simplify]: Simplify -1/2 into -1/2
9.608 * [taylor]: Taking taylor expansion of K in U
9.608 * [backup-simplify]: Simplify K into K
9.608 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.609 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.609 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.609 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.609 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.609 * [backup-simplify]: Simplify (- 0) into 0
9.609 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.609 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.609 * [taylor]: Taking taylor expansion of U in U
9.609 * [backup-simplify]: Simplify 0 into 0
9.609 * [backup-simplify]: Simplify 1 into 1
9.610 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.610 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.610 * [backup-simplify]: Simplify (* 1 1) into 1
9.610 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.610 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.611 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.611 * [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)))
9.611 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.612 * [backup-simplify]: Simplify (+ 0) into 0
9.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.615 * [backup-simplify]: Simplify (- 0) into 0
9.615 * [backup-simplify]: Simplify (+ 0 0) into 0
9.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.616 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.617 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.617 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.618 * [backup-simplify]: Simplify (+ 0 0) into 0
9.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.618 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.618 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.618 * [taylor]: Taking taylor expansion of 1 in U
9.618 * [backup-simplify]: Simplify 1 into 1
9.618 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.618 * [taylor]: Taking taylor expansion of 1/4 in U
9.618 * [backup-simplify]: Simplify 1/4 into 1/4
9.618 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.618 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.618 * [taylor]: Taking taylor expansion of J in U
9.618 * [backup-simplify]: Simplify J into J
9.618 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.618 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.618 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.618 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.618 * [taylor]: Taking taylor expansion of -1/2 in U
9.618 * [backup-simplify]: Simplify -1/2 into -1/2
9.618 * [taylor]: Taking taylor expansion of K in U
9.619 * [backup-simplify]: Simplify K into K
9.619 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.619 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.619 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.619 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.619 * [backup-simplify]: Simplify (- 0) into 0
9.619 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.619 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.620 * [taylor]: Taking taylor expansion of U in U
9.620 * [backup-simplify]: Simplify 0 into 0
9.620 * [backup-simplify]: Simplify 1 into 1
9.620 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.620 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.620 * [backup-simplify]: Simplify (* 1 1) into 1
9.620 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.621 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.621 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.621 * [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)))
9.621 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.621 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.623 * [backup-simplify]: Simplify (+ 0) into 0
9.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.625 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.625 * [backup-simplify]: Simplify (- 0) into 0
9.625 * [backup-simplify]: Simplify (+ 0 0) into 0
9.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.626 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.627 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.628 * [backup-simplify]: Simplify (+ 0 0) into 0
9.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
9.628 * [taylor]: Taking taylor expansion of 1/2 in J
9.628 * [backup-simplify]: Simplify 1/2 into 1/2
9.628 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
9.628 * [taylor]: Taking taylor expansion of J in J
9.628 * [backup-simplify]: Simplify 0 into 0
9.628 * [backup-simplify]: Simplify 1 into 1
9.628 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.628 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.628 * [taylor]: Taking taylor expansion of -1/2 in J
9.628 * [backup-simplify]: Simplify -1/2 into -1/2
9.628 * [taylor]: Taking taylor expansion of K in J
9.628 * [backup-simplify]: Simplify K into K
9.628 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.629 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.629 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.629 * [backup-simplify]: Simplify (- 0) into 0
9.629 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.629 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
9.630 * [taylor]: Taking taylor expansion of 0 in J
9.630 * [backup-simplify]: Simplify 0 into 0
9.630 * [taylor]: Taking taylor expansion of 0 in K
9.630 * [backup-simplify]: Simplify 0 into 0
9.630 * [backup-simplify]: Simplify 0 into 0
9.630 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
9.630 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
9.630 * [taylor]: Taking taylor expansion of 1/2 in K
9.630 * [backup-simplify]: Simplify 1/2 into 1/2
9.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.630 * [taylor]: Taking taylor expansion of -1/2 in K
9.630 * [backup-simplify]: Simplify -1/2 into -1/2
9.630 * [taylor]: Taking taylor expansion of K in K
9.630 * [backup-simplify]: Simplify 0 into 0
9.630 * [backup-simplify]: Simplify 1 into 1
9.631 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.631 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.631 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.631 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.631 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.636 * [backup-simplify]: Simplify (- 0) into 0
9.637 * [backup-simplify]: Simplify (+ 0 0) into 0
9.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
9.638 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.639 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.640 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
9.644 * [backup-simplify]: Simplify (+ 1 0) into 1
9.646 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
9.646 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
9.646 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.646 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.646 * [taylor]: Taking taylor expansion of -1/2 in J
9.647 * [backup-simplify]: Simplify -1/2 into -1/2
9.647 * [taylor]: Taking taylor expansion of K in J
9.647 * [backup-simplify]: Simplify K into K
9.647 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.647 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.647 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.647 * [taylor]: Taking taylor expansion of J in J
9.647 * [backup-simplify]: Simplify 0 into 0
9.647 * [backup-simplify]: Simplify 1 into 1
9.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.647 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.648 * [backup-simplify]: Simplify (- 0) into 0
9.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.648 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.648 * [backup-simplify]: Simplify (+ 0) into 0
9.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.651 * [backup-simplify]: Simplify (- 0) into 0
9.651 * [backup-simplify]: Simplify (+ 0 0) into 0
9.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
9.652 * [taylor]: Taking taylor expansion of 0 in K
9.652 * [backup-simplify]: Simplify 0 into 0
9.652 * [backup-simplify]: Simplify 0 into 0
9.652 * [taylor]: Taking taylor expansion of 0 in K
9.653 * [backup-simplify]: Simplify 0 into 0
9.653 * [backup-simplify]: Simplify 0 into 0
9.653 * [backup-simplify]: Simplify (+ 0) into 0
9.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.654 * [backup-simplify]: Simplify (- 0) into 0
9.655 * [backup-simplify]: Simplify (+ 0 0) into 0
9.655 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
9.655 * [taylor]: Taking taylor expansion of 0 in K
9.655 * [backup-simplify]: Simplify 0 into 0
9.655 * [backup-simplify]: Simplify 0 into 0
9.655 * [backup-simplify]: Simplify 0 into 0
9.655 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.655 * [backup-simplify]: Simplify 0 into 0
9.656 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.657 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.660 * [backup-simplify]: Simplify (- 0) into 0
9.660 * [backup-simplify]: Simplify (+ 0 0) into 0
9.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
9.661 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.661 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.663 * [backup-simplify]: Simplify (+ 0 0) into 0
9.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
9.663 * [taylor]: Taking taylor expansion of 0 in J
9.663 * [backup-simplify]: Simplify 0 into 0
9.663 * [taylor]: Taking taylor expansion of 0 in K
9.663 * [backup-simplify]: Simplify 0 into 0
9.663 * [backup-simplify]: Simplify 0 into 0
9.663 * [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)))
9.663 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1)
9.663 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
9.663 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
9.663 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
9.663 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
9.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
9.663 * [taylor]: Taking taylor expansion of 1/4 in K
9.663 * [backup-simplify]: Simplify 1/4 into 1/4
9.663 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
9.664 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.664 * [taylor]: Taking taylor expansion of U in K
9.664 * [backup-simplify]: Simplify U into U
9.664 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
9.664 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
9.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.664 * [taylor]: Taking taylor expansion of 1/2 in K
9.664 * [backup-simplify]: Simplify 1/2 into 1/2
9.664 * [taylor]: Taking taylor expansion of K in K
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify 1 into 1
9.664 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.664 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.664 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.664 * [taylor]: Taking taylor expansion of J in K
9.665 * [backup-simplify]: Simplify J into J
9.665 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.665 * [backup-simplify]: Simplify (* 1 1) into 1
9.665 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.665 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
9.665 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
9.665 * [taylor]: Taking taylor expansion of 1 in K
9.665 * [backup-simplify]: Simplify 1 into 1
9.665 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
9.665 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
9.665 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
9.665 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.665 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.666 * [backup-simplify]: Simplify (+ 0) into 0
9.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
9.667 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
9.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
9.667 * [backup-simplify]: Simplify (+ 0 0) into 0
9.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
9.667 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
9.667 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
9.667 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
9.668 * [taylor]: Taking taylor expansion of 1/4 in J
9.668 * [backup-simplify]: Simplify 1/4 into 1/4
9.668 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.668 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.668 * [taylor]: Taking taylor expansion of U in J
9.668 * [backup-simplify]: Simplify U into U
9.668 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.668 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.668 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.668 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.668 * [taylor]: Taking taylor expansion of 1/2 in J
9.668 * [backup-simplify]: Simplify 1/2 into 1/2
9.668 * [taylor]: Taking taylor expansion of K in J
9.668 * [backup-simplify]: Simplify K into K
9.668 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.668 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.668 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.668 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.668 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.668 * [backup-simplify]: Simplify (- 0) into 0
9.668 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.668 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.668 * [taylor]: Taking taylor expansion of J in J
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 1 into 1
9.668 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.668 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.669 * [backup-simplify]: Simplify (* 1 1) into 1
9.669 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.669 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
9.669 * [taylor]: Taking taylor expansion of 1 in J
9.669 * [backup-simplify]: Simplify 1 into 1
9.669 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.669 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.669 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
9.669 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.670 * [backup-simplify]: Simplify (+ 0) into 0
9.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.671 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.672 * [backup-simplify]: Simplify (- 0) into 0
9.672 * [backup-simplify]: Simplify (+ 0 0) into 0
9.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.672 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.673 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
9.673 * [backup-simplify]: Simplify (+ 0 0) into 0
9.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
9.673 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.673 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.673 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.673 * [taylor]: Taking taylor expansion of 1/4 in U
9.674 * [backup-simplify]: Simplify 1/4 into 1/4
9.674 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.674 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.674 * [taylor]: Taking taylor expansion of U in U
9.674 * [backup-simplify]: Simplify 0 into 0
9.674 * [backup-simplify]: Simplify 1 into 1
9.674 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.674 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.674 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.674 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.674 * [taylor]: Taking taylor expansion of 1/2 in U
9.674 * [backup-simplify]: Simplify 1/2 into 1/2
9.674 * [taylor]: Taking taylor expansion of K in U
9.674 * [backup-simplify]: Simplify K into K
9.674 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.674 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.674 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.674 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.674 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.674 * [backup-simplify]: Simplify (- 0) into 0
9.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.674 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.674 * [taylor]: Taking taylor expansion of J in U
9.674 * [backup-simplify]: Simplify J into J
9.675 * [backup-simplify]: Simplify (* 1 1) into 1
9.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.675 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.675 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.675 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.675 * [taylor]: Taking taylor expansion of 1 in U
9.675 * [backup-simplify]: Simplify 1 into 1
9.675 * [backup-simplify]: Simplify (+ 0 1) into 1
9.675 * [backup-simplify]: Simplify (sqrt 1) into 1
9.676 * [backup-simplify]: Simplify (+ 0 0) into 0
9.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.676 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.676 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.676 * [taylor]: Taking taylor expansion of 1/4 in U
9.676 * [backup-simplify]: Simplify 1/4 into 1/4
9.676 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.676 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.676 * [taylor]: Taking taylor expansion of U in U
9.676 * [backup-simplify]: Simplify 0 into 0
9.676 * [backup-simplify]: Simplify 1 into 1
9.676 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.676 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.676 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.676 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.676 * [taylor]: Taking taylor expansion of 1/2 in U
9.676 * [backup-simplify]: Simplify 1/2 into 1/2
9.676 * [taylor]: Taking taylor expansion of K in U
9.676 * [backup-simplify]: Simplify K into K
9.677 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.677 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.677 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.677 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.677 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.677 * [backup-simplify]: Simplify (- 0) into 0
9.677 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.677 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.677 * [taylor]: Taking taylor expansion of J in U
9.677 * [backup-simplify]: Simplify J into J
9.677 * [backup-simplify]: Simplify (* 1 1) into 1
9.677 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.677 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.678 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.678 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.678 * [taylor]: Taking taylor expansion of 1 in U
9.678 * [backup-simplify]: Simplify 1 into 1
9.678 * [backup-simplify]: Simplify (+ 0 1) into 1
9.678 * [backup-simplify]: Simplify (sqrt 1) into 1
9.678 * [backup-simplify]: Simplify (+ 0 0) into 0
9.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.679 * [taylor]: Taking taylor expansion of 1 in J
9.679 * [backup-simplify]: Simplify 1 into 1
9.679 * [taylor]: Taking taylor expansion of 0 in J
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [taylor]: Taking taylor expansion of 1 in K
9.679 * [backup-simplify]: Simplify 1 into 1
9.679 * [backup-simplify]: Simplify 1 into 1
9.679 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.679 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
9.680 * [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)))
9.680 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.680 * [taylor]: Taking taylor expansion of 1/8 in J
9.680 * [backup-simplify]: Simplify 1/8 into 1/8
9.680 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.680 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.680 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.680 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.680 * [taylor]: Taking taylor expansion of 1/2 in J
9.680 * [backup-simplify]: Simplify 1/2 into 1/2
9.680 * [taylor]: Taking taylor expansion of K in J
9.680 * [backup-simplify]: Simplify K into K
9.681 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.681 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.681 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.681 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.681 * [backup-simplify]: Simplify (- 0) into 0
9.681 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.681 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.681 * [taylor]: Taking taylor expansion of J in J
9.681 * [backup-simplify]: Simplify 0 into 0
9.681 * [backup-simplify]: Simplify 1 into 1
9.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.682 * [backup-simplify]: Simplify (* 1 1) into 1
9.682 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.682 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
9.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.683 * [backup-simplify]: Simplify (+ 0) into 0
9.684 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.685 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.686 * [backup-simplify]: Simplify (- 0) into 0
9.686 * [backup-simplify]: Simplify (+ 0 0) into 0
9.686 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.687 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.687 * [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
9.687 * [taylor]: Taking taylor expansion of 0 in K
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in K
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in K
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.688 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.689 * [backup-simplify]: Simplify (+ 0) into 0
9.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.691 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.691 * [backup-simplify]: Simplify (- 0) into 0
9.692 * [backup-simplify]: Simplify (+ 0 0) into 0
9.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.692 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
9.692 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
9.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
9.693 * [backup-simplify]: Simplify (+ 0 0) into 0
9.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
9.694 * [taylor]: Taking taylor expansion of 0 in J
9.694 * [backup-simplify]: Simplify 0 into 0
9.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.697 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
9.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.698 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.698 * [backup-simplify]: Simplify (- 0) into 0
9.699 * [backup-simplify]: Simplify (+ 0 0) into 0
9.699 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
9.699 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.700 * [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
9.700 * [taylor]: Taking taylor expansion of 0 in K
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [taylor]: Taking taylor expansion of 0 in K
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.700 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
9.700 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
9.700 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
9.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
9.700 * [taylor]: Taking taylor expansion of 1/4 in K
9.700 * [backup-simplify]: Simplify 1/4 into 1/4
9.700 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
9.700 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.700 * [taylor]: Taking taylor expansion of J in K
9.700 * [backup-simplify]: Simplify J into J
9.700 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
9.700 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.700 * [taylor]: Taking taylor expansion of U in K
9.700 * [backup-simplify]: Simplify U into U
9.700 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
9.701 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.701 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.701 * [taylor]: Taking taylor expansion of 1/2 in K
9.701 * [backup-simplify]: Simplify 1/2 into 1/2
9.701 * [taylor]: Taking taylor expansion of K in K
9.701 * [backup-simplify]: Simplify 0 into 0
9.701 * [backup-simplify]: Simplify 1 into 1
9.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.701 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.701 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.701 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.701 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.701 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.701 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.701 * [taylor]: Taking taylor expansion of 1 in K
9.701 * [backup-simplify]: Simplify 1 into 1
9.702 * [backup-simplify]: Simplify (* 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))))
9.702 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
9.702 * [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))
9.702 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.702 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.702 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.703 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.703 * [backup-simplify]: Simplify (+ 0 0) into 0
9.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
9.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
9.704 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
9.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
9.704 * [taylor]: Taking taylor expansion of 1/4 in J
9.704 * [backup-simplify]: Simplify 1/4 into 1/4
9.704 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
9.704 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.704 * [taylor]: Taking taylor expansion of J in J
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify 1 into 1
9.704 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
9.704 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.704 * [taylor]: Taking taylor expansion of U in J
9.704 * [backup-simplify]: Simplify U into U
9.704 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
9.704 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.704 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.704 * [taylor]: Taking taylor expansion of 1/2 in J
9.704 * [backup-simplify]: Simplify 1/2 into 1/2
9.704 * [taylor]: Taking taylor expansion of K in J
9.704 * [backup-simplify]: Simplify K into K
9.704 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.704 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.704 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.704 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.704 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.704 * [backup-simplify]: Simplify (- 0) into 0
9.704 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.705 * [backup-simplify]: Simplify (* 1 1) into 1
9.705 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.705 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.705 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.705 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.705 * [taylor]: Taking taylor expansion of 1 in J
9.705 * [backup-simplify]: Simplify 1 into 1
9.705 * [backup-simplify]: Simplify (+ 0 1) into 1
9.706 * [backup-simplify]: Simplify (sqrt 1) into 1
9.706 * [backup-simplify]: Simplify (+ 0 0) into 0
9.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.706 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.706 * [taylor]: Taking taylor expansion of 1/4 in U
9.706 * [backup-simplify]: Simplify 1/4 into 1/4
9.706 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.706 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.706 * [taylor]: Taking taylor expansion of J in U
9.706 * [backup-simplify]: Simplify J into J
9.707 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.707 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.707 * [taylor]: Taking taylor expansion of U in U
9.707 * [backup-simplify]: Simplify 0 into 0
9.707 * [backup-simplify]: Simplify 1 into 1
9.707 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.707 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.707 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.707 * [taylor]: Taking taylor expansion of 1/2 in U
9.707 * [backup-simplify]: Simplify 1/2 into 1/2
9.707 * [taylor]: Taking taylor expansion of K in U
9.707 * [backup-simplify]: Simplify K into K
9.707 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.707 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.707 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.707 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.707 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.707 * [backup-simplify]: Simplify (- 0) into 0
9.707 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.707 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.708 * [backup-simplify]: Simplify (* 1 1) into 1
9.708 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.708 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.708 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.708 * [taylor]: Taking taylor expansion of 1 in U
9.708 * [backup-simplify]: Simplify 1 into 1
9.708 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.708 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.708 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.708 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.709 * [backup-simplify]: Simplify (+ 0) into 0
9.709 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.710 * [backup-simplify]: Simplify (- 0) into 0
9.710 * [backup-simplify]: Simplify (+ 0 0) into 0
9.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.711 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.712 * [backup-simplify]: Simplify (+ 0 0) into 0
9.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.712 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.712 * [taylor]: Taking taylor expansion of 1/4 in U
9.712 * [backup-simplify]: Simplify 1/4 into 1/4
9.712 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.712 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.712 * [taylor]: Taking taylor expansion of J in U
9.712 * [backup-simplify]: Simplify J into J
9.712 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.713 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.713 * [taylor]: Taking taylor expansion of U in U
9.713 * [backup-simplify]: Simplify 0 into 0
9.713 * [backup-simplify]: Simplify 1 into 1
9.713 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.713 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.713 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.713 * [taylor]: Taking taylor expansion of 1/2 in U
9.713 * [backup-simplify]: Simplify 1/2 into 1/2
9.713 * [taylor]: Taking taylor expansion of K in U
9.713 * [backup-simplify]: Simplify K into K
9.713 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.713 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.713 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.713 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.713 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.713 * [backup-simplify]: Simplify (- 0) into 0
9.713 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.713 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.714 * [backup-simplify]: Simplify (* 1 1) into 1
9.714 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.714 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.714 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.714 * [taylor]: Taking taylor expansion of 1 in U
9.714 * [backup-simplify]: Simplify 1 into 1
9.714 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.714 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.714 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.714 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.715 * [backup-simplify]: Simplify (+ 0) into 0
9.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.716 * [backup-simplify]: Simplify (- 0) into 0
9.716 * [backup-simplify]: Simplify (+ 0 0) into 0
9.716 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.717 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.718 * [backup-simplify]: Simplify (+ 0 0) into 0
9.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
9.718 * [taylor]: Taking taylor expansion of 1/2 in J
9.718 * [backup-simplify]: Simplify 1/2 into 1/2
9.718 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
9.718 * [taylor]: Taking taylor expansion of J in J
9.718 * [backup-simplify]: Simplify 0 into 0
9.718 * [backup-simplify]: Simplify 1 into 1
9.718 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.718 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.718 * [taylor]: Taking taylor expansion of 1/2 in J
9.718 * [backup-simplify]: Simplify 1/2 into 1/2
9.718 * [taylor]: Taking taylor expansion of K in J
9.718 * [backup-simplify]: Simplify K into K
9.719 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.719 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.719 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.719 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.719 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.719 * [backup-simplify]: Simplify (- 0) into 0
9.719 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.719 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
9.719 * [taylor]: Taking taylor expansion of 0 in J
9.719 * [backup-simplify]: Simplify 0 into 0
9.719 * [taylor]: Taking taylor expansion of 0 in K
9.719 * [backup-simplify]: Simplify 0 into 0
9.719 * [backup-simplify]: Simplify 0 into 0
9.719 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
9.719 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
9.719 * [taylor]: Taking taylor expansion of 1/2 in K
9.719 * [backup-simplify]: Simplify 1/2 into 1/2
9.719 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.719 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.719 * [taylor]: Taking taylor expansion of 1/2 in K
9.719 * [backup-simplify]: Simplify 1/2 into 1/2
9.719 * [taylor]: Taking taylor expansion of K in K
9.719 * [backup-simplify]: Simplify 0 into 0
9.719 * [backup-simplify]: Simplify 1 into 1
9.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.720 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.720 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.720 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.720 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.722 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.723 * [backup-simplify]: Simplify (- 0) into 0
9.723 * [backup-simplify]: Simplify (+ 0 0) into 0
9.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
9.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
9.725 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.726 * [backup-simplify]: Simplify (+ 0 1) into 1
9.727 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
9.727 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
9.727 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.727 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.727 * [taylor]: Taking taylor expansion of 1/2 in J
9.727 * [backup-simplify]: Simplify 1/2 into 1/2
9.727 * [taylor]: Taking taylor expansion of K in J
9.727 * [backup-simplify]: Simplify K into K
9.727 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.727 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.727 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.727 * [taylor]: Taking taylor expansion of J in J
9.727 * [backup-simplify]: Simplify 0 into 0
9.727 * [backup-simplify]: Simplify 1 into 1
9.728 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.728 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.728 * [backup-simplify]: Simplify (- 0) into 0
9.728 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.728 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.729 * [backup-simplify]: Simplify (+ 0) into 0
9.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.729 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.731 * [backup-simplify]: Simplify (- 0) into 0
9.731 * [backup-simplify]: Simplify (+ 0 0) into 0
9.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
9.732 * [taylor]: Taking taylor expansion of 0 in K
9.732 * [backup-simplify]: Simplify 0 into 0
9.732 * [backup-simplify]: Simplify 0 into 0
9.732 * [taylor]: Taking taylor expansion of 0 in K
9.732 * [backup-simplify]: Simplify 0 into 0
9.732 * [backup-simplify]: Simplify 0 into 0
9.733 * [backup-simplify]: Simplify (+ 0) into 0
9.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.733 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.735 * [backup-simplify]: Simplify (- 0) into 0
9.735 * [backup-simplify]: Simplify (+ 0 0) into 0
9.736 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
9.736 * [taylor]: Taking taylor expansion of 0 in K
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.738 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.739 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.742 * [backup-simplify]: Simplify (- 0) into 0
9.742 * [backup-simplify]: Simplify (+ 0 0) into 0
9.743 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
9.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.746 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.748 * [backup-simplify]: Simplify (+ 0 0) into 0
9.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
9.749 * [taylor]: Taking taylor expansion of 0 in J
9.749 * [backup-simplify]: Simplify 0 into 0
9.749 * [taylor]: Taking taylor expansion of 0 in K
9.749 * [backup-simplify]: Simplify 0 into 0
9.749 * [backup-simplify]: Simplify 0 into 0
9.749 * [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)))
9.750 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.750 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
9.750 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
9.750 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
9.750 * [taylor]: Taking taylor expansion of 1 in K
9.750 * [backup-simplify]: Simplify 1 into 1
9.750 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
9.750 * [taylor]: Taking taylor expansion of 1/4 in K
9.750 * [backup-simplify]: Simplify 1/4 into 1/4
9.750 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
9.750 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.750 * [taylor]: Taking taylor expansion of J in K
9.750 * [backup-simplify]: Simplify J into J
9.750 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
9.750 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
9.750 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.750 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.750 * [taylor]: Taking taylor expansion of -1/2 in K
9.750 * [backup-simplify]: Simplify -1/2 into -1/2
9.751 * [taylor]: Taking taylor expansion of K in K
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [backup-simplify]: Simplify 1 into 1
9.751 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.751 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.751 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.751 * [taylor]: Taking taylor expansion of U in K
9.751 * [backup-simplify]: Simplify U into U
9.751 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.752 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.752 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.752 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.752 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.752 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
9.753 * [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)))))
9.753 * [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))))))
9.753 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.753 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.754 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.754 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
9.754 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
9.755 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
9.756 * [backup-simplify]: Simplify (+ 0 0) into 0
9.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
9.756 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
9.756 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
9.756 * [taylor]: Taking taylor expansion of 1 in J
9.756 * [backup-simplify]: Simplify 1 into 1
9.756 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
9.756 * [taylor]: Taking taylor expansion of 1/4 in J
9.756 * [backup-simplify]: Simplify 1/4 into 1/4
9.756 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
9.756 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.756 * [taylor]: Taking taylor expansion of J in J
9.756 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 1 into 1
9.757 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
9.757 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
9.757 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.757 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.757 * [taylor]: Taking taylor expansion of -1/2 in J
9.757 * [backup-simplify]: Simplify -1/2 into -1/2
9.757 * [taylor]: Taking taylor expansion of K in J
9.757 * [backup-simplify]: Simplify K into K
9.757 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.757 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.757 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.757 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.757 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.758 * [backup-simplify]: Simplify (- 0) into 0
9.758 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.758 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.758 * [taylor]: Taking taylor expansion of U in J
9.758 * [backup-simplify]: Simplify U into U
9.758 * [backup-simplify]: Simplify (* 1 1) into 1
9.758 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.758 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.759 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.759 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.760 * [backup-simplify]: Simplify (+ 1 0) into 1
9.760 * [backup-simplify]: Simplify (sqrt 1) into 1
9.761 * [backup-simplify]: Simplify (+ 0 0) into 0
9.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.764 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.765 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.765 * [taylor]: Taking taylor expansion of 1 in U
9.765 * [backup-simplify]: Simplify 1 into 1
9.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.765 * [taylor]: Taking taylor expansion of 1/4 in U
9.765 * [backup-simplify]: Simplify 1/4 into 1/4
9.765 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.765 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.765 * [taylor]: Taking taylor expansion of J in U
9.765 * [backup-simplify]: Simplify J into J
9.765 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.765 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.765 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.765 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.765 * [taylor]: Taking taylor expansion of -1/2 in U
9.765 * [backup-simplify]: Simplify -1/2 into -1/2
9.765 * [taylor]: Taking taylor expansion of K in U
9.765 * [backup-simplify]: Simplify K into K
9.765 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.765 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.765 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.765 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.765 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.766 * [backup-simplify]: Simplify (- 0) into 0
9.766 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.766 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.766 * [taylor]: Taking taylor expansion of U in U
9.766 * [backup-simplify]: Simplify 0 into 0
9.766 * [backup-simplify]: Simplify 1 into 1
9.766 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.766 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.767 * [backup-simplify]: Simplify (* 1 1) into 1
9.767 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.767 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.767 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.767 * [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)))
9.767 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.767 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.768 * [backup-simplify]: Simplify (+ 0) into 0
9.768 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.769 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.770 * [backup-simplify]: Simplify (- 0) into 0
9.770 * [backup-simplify]: Simplify (+ 0 0) into 0
9.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.770 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.771 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.771 * [backup-simplify]: Simplify (+ 0 0) into 0
9.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.772 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.772 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.772 * [taylor]: Taking taylor expansion of 1 in U
9.772 * [backup-simplify]: Simplify 1 into 1
9.772 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.772 * [taylor]: Taking taylor expansion of 1/4 in U
9.772 * [backup-simplify]: Simplify 1/4 into 1/4
9.772 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.772 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.772 * [taylor]: Taking taylor expansion of J in U
9.772 * [backup-simplify]: Simplify J into J
9.772 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.772 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.772 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.772 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.772 * [taylor]: Taking taylor expansion of -1/2 in U
9.772 * [backup-simplify]: Simplify -1/2 into -1/2
9.772 * [taylor]: Taking taylor expansion of K in U
9.772 * [backup-simplify]: Simplify K into K
9.772 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.772 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.772 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.772 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.772 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.772 * [backup-simplify]: Simplify (- 0) into 0
9.772 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.772 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.773 * [taylor]: Taking taylor expansion of U in U
9.773 * [backup-simplify]: Simplify 0 into 0
9.773 * [backup-simplify]: Simplify 1 into 1
9.773 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.773 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.773 * [backup-simplify]: Simplify (* 1 1) into 1
9.773 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.773 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.773 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.774 * [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)))
9.774 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.774 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.775 * [backup-simplify]: Simplify (+ 0) into 0
9.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.775 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.776 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.777 * [backup-simplify]: Simplify (- 0) into 0
9.777 * [backup-simplify]: Simplify (+ 0 0) into 0
9.777 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.777 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.778 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.778 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.778 * [backup-simplify]: Simplify (+ 0 0) into 0
9.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
9.779 * [taylor]: Taking taylor expansion of 1/2 in J
9.779 * [backup-simplify]: Simplify 1/2 into 1/2
9.779 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
9.779 * [taylor]: Taking taylor expansion of J in J
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [backup-simplify]: Simplify 1 into 1
9.779 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.779 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.779 * [taylor]: Taking taylor expansion of -1/2 in J
9.779 * [backup-simplify]: Simplify -1/2 into -1/2
9.779 * [taylor]: Taking taylor expansion of K in J
9.779 * [backup-simplify]: Simplify K into K
9.779 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.779 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.779 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.779 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.779 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.779 * [backup-simplify]: Simplify (- 0) into 0
9.779 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.779 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
9.779 * [taylor]: Taking taylor expansion of 0 in J
9.779 * [backup-simplify]: Simplify 0 into 0
9.780 * [taylor]: Taking taylor expansion of 0 in K
9.780 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
9.780 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
9.780 * [taylor]: Taking taylor expansion of 1/2 in K
9.780 * [backup-simplify]: Simplify 1/2 into 1/2
9.780 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.780 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.780 * [taylor]: Taking taylor expansion of -1/2 in K
9.780 * [backup-simplify]: Simplify -1/2 into -1/2
9.780 * [taylor]: Taking taylor expansion of K in K
9.780 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify 1 into 1
9.780 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.780 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.780 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.780 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.781 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.783 * [backup-simplify]: Simplify (- 0) into 0
9.784 * [backup-simplify]: Simplify (+ 0 0) into 0
9.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
9.784 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.785 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
9.786 * [backup-simplify]: Simplify (+ 1 0) into 1
9.786 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
9.786 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
9.786 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.786 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.786 * [taylor]: Taking taylor expansion of -1/2 in J
9.786 * [backup-simplify]: Simplify -1/2 into -1/2
9.786 * [taylor]: Taking taylor expansion of K in J
9.786 * [backup-simplify]: Simplify K into K
9.786 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.786 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.786 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.786 * [taylor]: Taking taylor expansion of J in J
9.786 * [backup-simplify]: Simplify 0 into 0
9.786 * [backup-simplify]: Simplify 1 into 1
9.786 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.787 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.787 * [backup-simplify]: Simplify (- 0) into 0
9.787 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.787 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.787 * [backup-simplify]: Simplify (+ 0) into 0
9.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.789 * [backup-simplify]: Simplify (- 0) into 0
9.789 * [backup-simplify]: Simplify (+ 0 0) into 0
9.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
9.790 * [taylor]: Taking taylor expansion of 0 in K
9.790 * [backup-simplify]: Simplify 0 into 0
9.790 * [backup-simplify]: Simplify 0 into 0
9.790 * [taylor]: Taking taylor expansion of 0 in K
9.790 * [backup-simplify]: Simplify 0 into 0
9.790 * [backup-simplify]: Simplify 0 into 0
9.791 * [backup-simplify]: Simplify (+ 0) into 0
9.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.791 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.792 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.793 * [backup-simplify]: Simplify (- 0) into 0
9.793 * [backup-simplify]: Simplify (+ 0 0) into 0
9.793 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
9.794 * [taylor]: Taking taylor expansion of 0 in K
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.794 * [backup-simplify]: Simplify 0 into 0
9.795 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.798 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.799 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.802 * [backup-simplify]: Simplify (- 0) into 0
9.802 * [backup-simplify]: Simplify (+ 0 0) into 0
9.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
9.804 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.805 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.806 * [backup-simplify]: Simplify (+ 0 0) into 0
9.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
9.807 * [taylor]: Taking taylor expansion of 0 in J
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [taylor]: Taking taylor expansion of 0 in K
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [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)))
9.807 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1)
9.808 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
9.808 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
9.808 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
9.808 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
9.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
9.808 * [taylor]: Taking taylor expansion of 1/4 in K
9.808 * [backup-simplify]: Simplify 1/4 into 1/4
9.808 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
9.808 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.808 * [taylor]: Taking taylor expansion of U in K
9.808 * [backup-simplify]: Simplify U into U
9.808 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
9.808 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
9.808 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.808 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.808 * [taylor]: Taking taylor expansion of 1/2 in K
9.808 * [backup-simplify]: Simplify 1/2 into 1/2
9.808 * [taylor]: Taking taylor expansion of K in K
9.808 * [backup-simplify]: Simplify 0 into 0
9.808 * [backup-simplify]: Simplify 1 into 1
9.809 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.810 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.810 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.810 * [taylor]: Taking taylor expansion of J in K
9.810 * [backup-simplify]: Simplify J into J
9.810 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.810 * [backup-simplify]: Simplify (* 1 1) into 1
9.810 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.810 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
9.811 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
9.811 * [taylor]: Taking taylor expansion of 1 in K
9.811 * [backup-simplify]: Simplify 1 into 1
9.811 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
9.811 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
9.811 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
9.811 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.812 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.812 * [backup-simplify]: Simplify (+ 0) into 0
9.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
9.813 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
9.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
9.814 * [backup-simplify]: Simplify (+ 0 0) into 0
9.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
9.815 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
9.815 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
9.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
9.815 * [taylor]: Taking taylor expansion of 1/4 in J
9.815 * [backup-simplify]: Simplify 1/4 into 1/4
9.815 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.815 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.815 * [taylor]: Taking taylor expansion of U in J
9.815 * [backup-simplify]: Simplify U into U
9.815 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.815 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.815 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.815 * [taylor]: Taking taylor expansion of 1/2 in J
9.815 * [backup-simplify]: Simplify 1/2 into 1/2
9.815 * [taylor]: Taking taylor expansion of K in J
9.815 * [backup-simplify]: Simplify K into K
9.815 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.815 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.816 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.816 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.816 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.816 * [backup-simplify]: Simplify (- 0) into 0
9.816 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.816 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.816 * [taylor]: Taking taylor expansion of J in J
9.816 * [backup-simplify]: Simplify 0 into 0
9.816 * [backup-simplify]: Simplify 1 into 1
9.816 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.817 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.817 * [backup-simplify]: Simplify (* 1 1) into 1
9.817 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.817 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
9.817 * [taylor]: Taking taylor expansion of 1 in J
9.817 * [backup-simplify]: Simplify 1 into 1
9.818 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.818 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.818 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
9.818 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.820 * [backup-simplify]: Simplify (+ 0) into 0
9.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.822 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.822 * [backup-simplify]: Simplify (- 0) into 0
9.823 * [backup-simplify]: Simplify (+ 0 0) into 0
9.823 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.823 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.824 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
9.825 * [backup-simplify]: Simplify (+ 0 0) into 0
9.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
9.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.825 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.825 * [taylor]: Taking taylor expansion of 1/4 in U
9.825 * [backup-simplify]: Simplify 1/4 into 1/4
9.825 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.825 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.825 * [taylor]: Taking taylor expansion of U in U
9.825 * [backup-simplify]: Simplify 0 into 0
9.825 * [backup-simplify]: Simplify 1 into 1
9.825 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.825 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.825 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.825 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.825 * [taylor]: Taking taylor expansion of 1/2 in U
9.825 * [backup-simplify]: Simplify 1/2 into 1/2
9.825 * [taylor]: Taking taylor expansion of K in U
9.825 * [backup-simplify]: Simplify K into K
9.825 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.826 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.826 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.826 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.826 * [backup-simplify]: Simplify (- 0) into 0
9.826 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.826 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.826 * [taylor]: Taking taylor expansion of J in U
9.826 * [backup-simplify]: Simplify J into J
9.827 * [backup-simplify]: Simplify (* 1 1) into 1
9.827 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.827 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.827 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.827 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.827 * [taylor]: Taking taylor expansion of 1 in U
9.827 * [backup-simplify]: Simplify 1 into 1
9.828 * [backup-simplify]: Simplify (+ 0 1) into 1
9.828 * [backup-simplify]: Simplify (sqrt 1) into 1
9.828 * [backup-simplify]: Simplify (+ 0 0) into 0
9.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.829 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.829 * [taylor]: Taking taylor expansion of 1/4 in U
9.829 * [backup-simplify]: Simplify 1/4 into 1/4
9.829 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.829 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.829 * [taylor]: Taking taylor expansion of U in U
9.829 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify 1 into 1
9.829 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.829 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.829 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.829 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.829 * [taylor]: Taking taylor expansion of 1/2 in U
9.829 * [backup-simplify]: Simplify 1/2 into 1/2
9.829 * [taylor]: Taking taylor expansion of K in U
9.829 * [backup-simplify]: Simplify K into K
9.829 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.829 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.829 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.830 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.830 * [backup-simplify]: Simplify (- 0) into 0
9.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.830 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.830 * [taylor]: Taking taylor expansion of J in U
9.830 * [backup-simplify]: Simplify J into J
9.830 * [backup-simplify]: Simplify (* 1 1) into 1
9.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.830 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.830 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.830 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.831 * [taylor]: Taking taylor expansion of 1 in U
9.831 * [backup-simplify]: Simplify 1 into 1
9.831 * [backup-simplify]: Simplify (+ 0 1) into 1
9.831 * [backup-simplify]: Simplify (sqrt 1) into 1
9.831 * [backup-simplify]: Simplify (+ 0 0) into 0
9.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.832 * [taylor]: Taking taylor expansion of 1 in J
9.832 * [backup-simplify]: Simplify 1 into 1
9.832 * [taylor]: Taking taylor expansion of 0 in J
9.832 * [backup-simplify]: Simplify 0 into 0
9.832 * [taylor]: Taking taylor expansion of 1 in K
9.832 * [backup-simplify]: Simplify 1 into 1
9.832 * [backup-simplify]: Simplify 1 into 1
9.832 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.832 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
9.833 * [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)))
9.833 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.833 * [taylor]: Taking taylor expansion of 1/8 in J
9.833 * [backup-simplify]: Simplify 1/8 into 1/8
9.833 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.833 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.833 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.833 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.833 * [taylor]: Taking taylor expansion of 1/2 in J
9.833 * [backup-simplify]: Simplify 1/2 into 1/2
9.833 * [taylor]: Taking taylor expansion of K in J
9.833 * [backup-simplify]: Simplify K into K
9.833 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.833 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.833 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.833 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.834 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.834 * [backup-simplify]: Simplify (- 0) into 0
9.834 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.834 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.834 * [taylor]: Taking taylor expansion of J in J
9.834 * [backup-simplify]: Simplify 0 into 0
9.834 * [backup-simplify]: Simplify 1 into 1
9.834 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.834 * [backup-simplify]: Simplify (* 1 1) into 1
9.834 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.834 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
9.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.835 * [backup-simplify]: Simplify (+ 0) into 0
9.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.836 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.837 * [backup-simplify]: Simplify (- 0) into 0
9.837 * [backup-simplify]: Simplify (+ 0 0) into 0
9.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.837 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.838 * [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
9.838 * [taylor]: Taking taylor expansion of 0 in K
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [taylor]: Taking taylor expansion of 0 in K
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [taylor]: Taking taylor expansion of 0 in K
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.838 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.839 * [backup-simplify]: Simplify (+ 0) into 0
9.839 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.840 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.840 * [backup-simplify]: Simplify (- 0) into 0
9.840 * [backup-simplify]: Simplify (+ 0 0) into 0
9.841 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.841 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
9.841 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
9.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
9.842 * [backup-simplify]: Simplify (+ 0 0) into 0
9.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
9.842 * [taylor]: Taking taylor expansion of 0 in J
9.842 * [backup-simplify]: Simplify 0 into 0
9.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.843 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
9.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.845 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.845 * [backup-simplify]: Simplify (- 0) into 0
9.845 * [backup-simplify]: Simplify (+ 0 0) into 0
9.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
9.846 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.846 * [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
9.847 * [taylor]: Taking taylor expansion of 0 in K
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [taylor]: Taking taylor expansion of 0 in K
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 1 into 1
9.847 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.847 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
9.847 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
9.847 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
9.847 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
9.847 * [taylor]: Taking taylor expansion of 1/4 in K
9.847 * [backup-simplify]: Simplify 1/4 into 1/4
9.847 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
9.847 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.847 * [taylor]: Taking taylor expansion of J in K
9.847 * [backup-simplify]: Simplify J into J
9.847 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
9.847 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.847 * [taylor]: Taking taylor expansion of U in K
9.847 * [backup-simplify]: Simplify U into U
9.847 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
9.847 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.847 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.847 * [taylor]: Taking taylor expansion of 1/2 in K
9.847 * [backup-simplify]: Simplify 1/2 into 1/2
9.847 * [taylor]: Taking taylor expansion of K in K
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 1 into 1
9.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.848 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.848 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.848 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.848 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.848 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.848 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.848 * [taylor]: Taking taylor expansion of 1 in K
9.848 * [backup-simplify]: Simplify 1 into 1
9.848 * [backup-simplify]: Simplify (* 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))))
9.848 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
9.849 * [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))
9.849 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.849 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.849 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.849 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.850 * [backup-simplify]: Simplify (+ 0 0) into 0
9.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
9.850 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
9.850 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
9.850 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
9.850 * [taylor]: Taking taylor expansion of 1/4 in J
9.850 * [backup-simplify]: Simplify 1/4 into 1/4
9.850 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
9.850 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.850 * [taylor]: Taking taylor expansion of J in J
9.850 * [backup-simplify]: Simplify 0 into 0
9.850 * [backup-simplify]: Simplify 1 into 1
9.850 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
9.850 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.850 * [taylor]: Taking taylor expansion of U in J
9.851 * [backup-simplify]: Simplify U into U
9.851 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
9.851 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.851 * [taylor]: Taking taylor expansion of 1/2 in J
9.851 * [backup-simplify]: Simplify 1/2 into 1/2
9.851 * [taylor]: Taking taylor expansion of K in J
9.851 * [backup-simplify]: Simplify K into K
9.851 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.851 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.851 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.851 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.851 * [backup-simplify]: Simplify (- 0) into 0
9.851 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.851 * [backup-simplify]: Simplify (* 1 1) into 1
9.851 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.852 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.852 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.852 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.852 * [taylor]: Taking taylor expansion of 1 in J
9.852 * [backup-simplify]: Simplify 1 into 1
9.852 * [backup-simplify]: Simplify (+ 0 1) into 1
9.852 * [backup-simplify]: Simplify (sqrt 1) into 1
9.853 * [backup-simplify]: Simplify (+ 0 0) into 0
9.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.853 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.853 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.853 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.853 * [taylor]: Taking taylor expansion of 1/4 in U
9.853 * [backup-simplify]: Simplify 1/4 into 1/4
9.853 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.853 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.853 * [taylor]: Taking taylor expansion of J in U
9.853 * [backup-simplify]: Simplify J into J
9.853 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.853 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.853 * [taylor]: Taking taylor expansion of U in U
9.853 * [backup-simplify]: Simplify 0 into 0
9.853 * [backup-simplify]: Simplify 1 into 1
9.853 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.853 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.853 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.853 * [taylor]: Taking taylor expansion of 1/2 in U
9.853 * [backup-simplify]: Simplify 1/2 into 1/2
9.853 * [taylor]: Taking taylor expansion of K in U
9.853 * [backup-simplify]: Simplify K into K
9.853 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.853 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.853 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.854 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.854 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.854 * [backup-simplify]: Simplify (- 0) into 0
9.854 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.854 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.854 * [backup-simplify]: Simplify (* 1 1) into 1
9.854 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.854 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.854 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.854 * [taylor]: Taking taylor expansion of 1 in U
9.854 * [backup-simplify]: Simplify 1 into 1
9.855 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.855 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.855 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.855 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.855 * [backup-simplify]: Simplify (+ 0) into 0
9.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.857 * [backup-simplify]: Simplify (- 0) into 0
9.857 * [backup-simplify]: Simplify (+ 0 0) into 0
9.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.859 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.859 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.860 * [backup-simplify]: Simplify (+ 0 0) into 0
9.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.860 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.860 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.860 * [taylor]: Taking taylor expansion of 1/4 in U
9.860 * [backup-simplify]: Simplify 1/4 into 1/4
9.860 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.860 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.860 * [taylor]: Taking taylor expansion of J in U
9.860 * [backup-simplify]: Simplify J into J
9.860 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.860 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.860 * [taylor]: Taking taylor expansion of U in U
9.860 * [backup-simplify]: Simplify 0 into 0
9.860 * [backup-simplify]: Simplify 1 into 1
9.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.860 * [taylor]: Taking taylor expansion of 1/2 in U
9.860 * [backup-simplify]: Simplify 1/2 into 1/2
9.860 * [taylor]: Taking taylor expansion of K in U
9.860 * [backup-simplify]: Simplify K into K
9.860 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.860 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.861 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.861 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.861 * [backup-simplify]: Simplify (- 0) into 0
9.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.861 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.862 * [backup-simplify]: Simplify (* 1 1) into 1
9.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.862 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.862 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.862 * [taylor]: Taking taylor expansion of 1 in U
9.862 * [backup-simplify]: Simplify 1 into 1
9.862 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.862 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.863 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.863 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.863 * [backup-simplify]: Simplify (+ 0) into 0
9.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.865 * [backup-simplify]: Simplify (- 0) into 0
9.866 * [backup-simplify]: Simplify (+ 0 0) into 0
9.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.868 * [backup-simplify]: Simplify (+ 0 0) into 0
9.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
9.869 * [taylor]: Taking taylor expansion of 1/2 in J
9.869 * [backup-simplify]: Simplify 1/2 into 1/2
9.869 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
9.869 * [taylor]: Taking taylor expansion of J in J
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.869 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.869 * [taylor]: Taking taylor expansion of 1/2 in J
9.869 * [backup-simplify]: Simplify 1/2 into 1/2
9.869 * [taylor]: Taking taylor expansion of K in J
9.869 * [backup-simplify]: Simplify K into K
9.869 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.869 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.869 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.869 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.869 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.870 * [backup-simplify]: Simplify (- 0) into 0
9.870 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.870 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
9.870 * [taylor]: Taking taylor expansion of 0 in J
9.870 * [backup-simplify]: Simplify 0 into 0
9.870 * [taylor]: Taking taylor expansion of 0 in K
9.870 * [backup-simplify]: Simplify 0 into 0
9.870 * [backup-simplify]: Simplify 0 into 0
9.870 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
9.870 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
9.870 * [taylor]: Taking taylor expansion of 1/2 in K
9.870 * [backup-simplify]: Simplify 1/2 into 1/2
9.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.870 * [taylor]: Taking taylor expansion of 1/2 in K
9.870 * [backup-simplify]: Simplify 1/2 into 1/2
9.871 * [taylor]: Taking taylor expansion of K in K
9.871 * [backup-simplify]: Simplify 0 into 0
9.871 * [backup-simplify]: Simplify 1 into 1
9.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.871 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.871 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.871 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.872 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.875 * [backup-simplify]: Simplify (- 0) into 0
9.876 * [backup-simplify]: Simplify (+ 0 0) into 0
9.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
9.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
9.879 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.880 * [backup-simplify]: Simplify (+ 0 1) into 1
9.881 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
9.881 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
9.881 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.881 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.881 * [taylor]: Taking taylor expansion of 1/2 in J
9.881 * [backup-simplify]: Simplify 1/2 into 1/2
9.881 * [taylor]: Taking taylor expansion of K in J
9.881 * [backup-simplify]: Simplify K into K
9.881 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.881 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.881 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.881 * [taylor]: Taking taylor expansion of J in J
9.881 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify 1 into 1
9.882 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.882 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.882 * [backup-simplify]: Simplify (- 0) into 0
9.882 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.882 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.883 * [backup-simplify]: Simplify (+ 0) into 0
9.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.889 * [backup-simplify]: Simplify (- 0) into 0
9.889 * [backup-simplify]: Simplify (+ 0 0) into 0
9.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
9.890 * [taylor]: Taking taylor expansion of 0 in K
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [taylor]: Taking taylor expansion of 0 in K
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify 0 into 0
9.891 * [backup-simplify]: Simplify (+ 0) into 0
9.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.893 * [backup-simplify]: Simplify (- 0) into 0
9.894 * [backup-simplify]: Simplify (+ 0 0) into 0
9.894 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
9.894 * [taylor]: Taking taylor expansion of 0 in K
9.895 * [backup-simplify]: Simplify 0 into 0
9.895 * [backup-simplify]: Simplify 0 into 0
9.895 * [backup-simplify]: Simplify 0 into 0
9.895 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.895 * [backup-simplify]: Simplify 0 into 0
9.896 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.901 * [backup-simplify]: Simplify (- 0) into 0
9.901 * [backup-simplify]: Simplify (+ 0 0) into 0
9.902 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
9.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.905 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.907 * [backup-simplify]: Simplify (+ 0 0) into 0
9.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
9.907 * [taylor]: Taking taylor expansion of 0 in J
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [taylor]: Taking taylor expansion of 0 in K
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [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)))
9.908 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.908 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
9.908 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
9.908 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
9.908 * [taylor]: Taking taylor expansion of 1 in K
9.908 * [backup-simplify]: Simplify 1 into 1
9.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
9.908 * [taylor]: Taking taylor expansion of 1/4 in K
9.908 * [backup-simplify]: Simplify 1/4 into 1/4
9.908 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
9.909 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.909 * [taylor]: Taking taylor expansion of J in K
9.909 * [backup-simplify]: Simplify J into J
9.909 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
9.909 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
9.909 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.909 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.909 * [taylor]: Taking taylor expansion of -1/2 in K
9.909 * [backup-simplify]: Simplify -1/2 into -1/2
9.909 * [taylor]: Taking taylor expansion of K in K
9.909 * [backup-simplify]: Simplify 0 into 0
9.909 * [backup-simplify]: Simplify 1 into 1
9.909 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.909 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.909 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.909 * [taylor]: Taking taylor expansion of U in K
9.910 * [backup-simplify]: Simplify U into U
9.910 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.910 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.910 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.910 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.910 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.911 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
9.911 * [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)))))
9.911 * [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))))))
9.912 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.912 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.912 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
9.913 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
9.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
9.914 * [backup-simplify]: Simplify (+ 0 0) into 0
9.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
9.915 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
9.915 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
9.915 * [taylor]: Taking taylor expansion of 1 in J
9.915 * [backup-simplify]: Simplify 1 into 1
9.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
9.915 * [taylor]: Taking taylor expansion of 1/4 in J
9.915 * [backup-simplify]: Simplify 1/4 into 1/4
9.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
9.915 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.915 * [taylor]: Taking taylor expansion of J in J
9.915 * [backup-simplify]: Simplify 0 into 0
9.915 * [backup-simplify]: Simplify 1 into 1
9.915 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
9.915 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
9.915 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.915 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.915 * [taylor]: Taking taylor expansion of -1/2 in J
9.915 * [backup-simplify]: Simplify -1/2 into -1/2
9.915 * [taylor]: Taking taylor expansion of K in J
9.915 * [backup-simplify]: Simplify K into K
9.915 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.915 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.915 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.916 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.916 * [backup-simplify]: Simplify (- 0) into 0
9.916 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.916 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.916 * [taylor]: Taking taylor expansion of U in J
9.916 * [backup-simplify]: Simplify U into U
9.917 * [backup-simplify]: Simplify (* 1 1) into 1
9.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.917 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.917 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.917 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.917 * [backup-simplify]: Simplify (+ 1 0) into 1
9.918 * [backup-simplify]: Simplify (sqrt 1) into 1
9.918 * [backup-simplify]: Simplify (+ 0 0) into 0
9.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.918 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.918 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.918 * [taylor]: Taking taylor expansion of 1 in U
9.918 * [backup-simplify]: Simplify 1 into 1
9.918 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.918 * [taylor]: Taking taylor expansion of 1/4 in U
9.918 * [backup-simplify]: Simplify 1/4 into 1/4
9.918 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.918 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.919 * [taylor]: Taking taylor expansion of J in U
9.919 * [backup-simplify]: Simplify J into J
9.919 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.919 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.919 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.919 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.919 * [taylor]: Taking taylor expansion of -1/2 in U
9.919 * [backup-simplify]: Simplify -1/2 into -1/2
9.919 * [taylor]: Taking taylor expansion of K in U
9.919 * [backup-simplify]: Simplify K into K
9.919 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.919 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.919 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.919 * [backup-simplify]: Simplify (- 0) into 0
9.919 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.919 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.919 * [taylor]: Taking taylor expansion of U in U
9.919 * [backup-simplify]: Simplify 0 into 0
9.919 * [backup-simplify]: Simplify 1 into 1
9.919 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.920 * [backup-simplify]: Simplify (* 1 1) into 1
9.920 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.920 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.920 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.920 * [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)))
9.920 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.921 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.921 * [backup-simplify]: Simplify (+ 0) into 0
9.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.923 * [backup-simplify]: Simplify (- 0) into 0
9.923 * [backup-simplify]: Simplify (+ 0 0) into 0
9.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.923 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.924 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.924 * [backup-simplify]: Simplify (+ 0 0) into 0
9.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.924 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.924 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.924 * [taylor]: Taking taylor expansion of 1 in U
9.925 * [backup-simplify]: Simplify 1 into 1
9.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.925 * [taylor]: Taking taylor expansion of 1/4 in U
9.925 * [backup-simplify]: Simplify 1/4 into 1/4
9.925 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.925 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.925 * [taylor]: Taking taylor expansion of J in U
9.925 * [backup-simplify]: Simplify J into J
9.925 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.925 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.925 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.925 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.925 * [taylor]: Taking taylor expansion of -1/2 in U
9.925 * [backup-simplify]: Simplify -1/2 into -1/2
9.925 * [taylor]: Taking taylor expansion of K in U
9.925 * [backup-simplify]: Simplify K into K
9.925 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.925 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.925 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.925 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.925 * [backup-simplify]: Simplify (- 0) into 0
9.925 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.925 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.925 * [taylor]: Taking taylor expansion of U in U
9.925 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify 1 into 1
9.925 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.926 * [backup-simplify]: Simplify (* 1 1) into 1
9.926 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.926 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.926 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.926 * [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)))
9.926 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.926 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.927 * [backup-simplify]: Simplify (+ 0) into 0
9.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.929 * [backup-simplify]: Simplify (- 0) into 0
9.929 * [backup-simplify]: Simplify (+ 0 0) into 0
9.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.930 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.930 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.931 * [backup-simplify]: Simplify (+ 0 0) into 0
9.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
9.931 * [taylor]: Taking taylor expansion of 1/2 in J
9.931 * [backup-simplify]: Simplify 1/2 into 1/2
9.931 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
9.931 * [taylor]: Taking taylor expansion of J in J
9.931 * [backup-simplify]: Simplify 0 into 0
9.931 * [backup-simplify]: Simplify 1 into 1
9.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.931 * [taylor]: Taking taylor expansion of -1/2 in J
9.931 * [backup-simplify]: Simplify -1/2 into -1/2
9.931 * [taylor]: Taking taylor expansion of K in J
9.931 * [backup-simplify]: Simplify K into K
9.931 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.932 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.932 * [backup-simplify]: Simplify (- 0) into 0
9.932 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.932 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
9.932 * [taylor]: Taking taylor expansion of 0 in J
9.932 * [backup-simplify]: Simplify 0 into 0
9.932 * [taylor]: Taking taylor expansion of 0 in K
9.932 * [backup-simplify]: Simplify 0 into 0
9.932 * [backup-simplify]: Simplify 0 into 0
9.932 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
9.932 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
9.932 * [taylor]: Taking taylor expansion of 1/2 in K
9.932 * [backup-simplify]: Simplify 1/2 into 1/2
9.932 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.932 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.932 * [taylor]: Taking taylor expansion of -1/2 in K
9.932 * [backup-simplify]: Simplify -1/2 into -1/2
9.932 * [taylor]: Taking taylor expansion of K in K
9.932 * [backup-simplify]: Simplify 0 into 0
9.932 * [backup-simplify]: Simplify 1 into 1
9.933 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.933 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.933 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.933 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.933 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.936 * [backup-simplify]: Simplify (- 0) into 0
9.936 * [backup-simplify]: Simplify (+ 0 0) into 0
9.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
9.937 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.938 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
9.938 * [backup-simplify]: Simplify (+ 1 0) into 1
9.939 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
9.939 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
9.939 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.939 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.939 * [taylor]: Taking taylor expansion of -1/2 in J
9.939 * [backup-simplify]: Simplify -1/2 into -1/2
9.939 * [taylor]: Taking taylor expansion of K in J
9.939 * [backup-simplify]: Simplify K into K
9.939 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.939 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.939 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.939 * [taylor]: Taking taylor expansion of J in J
9.939 * [backup-simplify]: Simplify 0 into 0
9.939 * [backup-simplify]: Simplify 1 into 1
9.939 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.939 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.940 * [backup-simplify]: Simplify (- 0) into 0
9.940 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.940 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.940 * [backup-simplify]: Simplify (+ 0) into 0
9.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.942 * [backup-simplify]: Simplify (- 0) into 0
9.942 * [backup-simplify]: Simplify (+ 0 0) into 0
9.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
9.942 * [taylor]: Taking taylor expansion of 0 in K
9.942 * [backup-simplify]: Simplify 0 into 0
9.942 * [backup-simplify]: Simplify 0 into 0
9.943 * [taylor]: Taking taylor expansion of 0 in K
9.943 * [backup-simplify]: Simplify 0 into 0
9.943 * [backup-simplify]: Simplify 0 into 0
9.943 * [backup-simplify]: Simplify (+ 0) into 0
9.943 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.944 * [backup-simplify]: Simplify (- 0) into 0
9.945 * [backup-simplify]: Simplify (+ 0 0) into 0
9.945 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
9.945 * [taylor]: Taking taylor expansion of 0 in K
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.946 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.949 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.952 * [backup-simplify]: Simplify (- 0) into 0
9.953 * [backup-simplify]: Simplify (+ 0 0) into 0
9.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
9.954 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.955 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.957 * [backup-simplify]: Simplify (+ 0 0) into 0
9.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
9.957 * [taylor]: Taking taylor expansion of 0 in J
9.957 * [backup-simplify]: Simplify 0 into 0
9.957 * [taylor]: Taking taylor expansion of 0 in K
9.957 * [backup-simplify]: Simplify 0 into 0
9.957 * [backup-simplify]: Simplify 0 into 0
9.957 * [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)))
9.957 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
9.958 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
9.958 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
9.958 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
9.958 * [taylor]: Taking taylor expansion of -2 in K
9.958 * [backup-simplify]: Simplify -2 into -2
9.958 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
9.958 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
9.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.958 * [taylor]: Taking taylor expansion of 1/2 in K
9.958 * [backup-simplify]: Simplify 1/2 into 1/2
9.958 * [taylor]: Taking taylor expansion of K in K
9.958 * [backup-simplify]: Simplify 0 into 0
9.958 * [backup-simplify]: Simplify 1 into 1
9.959 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.960 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.960 * [taylor]: Taking taylor expansion of J in K
9.960 * [backup-simplify]: Simplify J into J
9.960 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
9.960 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
9.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
9.960 * [taylor]: Taking taylor expansion of 1/4 in K
9.960 * [backup-simplify]: Simplify 1/4 into 1/4
9.960 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
9.960 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.960 * [taylor]: Taking taylor expansion of U in K
9.960 * [backup-simplify]: Simplify U into U
9.960 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
9.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
9.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.960 * [taylor]: Taking taylor expansion of 1/2 in K
9.960 * [backup-simplify]: Simplify 1/2 into 1/2
9.960 * [taylor]: Taking taylor expansion of K in K
9.960 * [backup-simplify]: Simplify 0 into 0
9.960 * [backup-simplify]: Simplify 1 into 1
9.961 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.961 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.961 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.961 * [taylor]: Taking taylor expansion of J in K
9.961 * [backup-simplify]: Simplify J into J
9.961 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.962 * [backup-simplify]: Simplify (* 1 1) into 1
9.962 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.962 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
9.962 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
9.962 * [taylor]: Taking taylor expansion of 1 in K
9.962 * [backup-simplify]: Simplify 1 into 1
9.962 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
9.963 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
9.963 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
9.963 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.963 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.963 * [backup-simplify]: Simplify (+ 0) into 0
9.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
9.966 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
9.966 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
9.967 * [backup-simplify]: Simplify (+ 0 0) into 0
9.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
9.967 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
9.967 * [taylor]: Taking taylor expansion of -2 in J
9.967 * [backup-simplify]: Simplify -2 into -2
9.967 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
9.967 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
9.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.967 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.967 * [taylor]: Taking taylor expansion of 1/2 in J
9.967 * [backup-simplify]: Simplify 1/2 into 1/2
9.967 * [taylor]: Taking taylor expansion of K in J
9.967 * [backup-simplify]: Simplify K into K
9.968 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.968 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.968 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.968 * [taylor]: Taking taylor expansion of J in J
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 1 into 1
9.968 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
9.968 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
9.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
9.968 * [taylor]: Taking taylor expansion of 1/4 in J
9.968 * [backup-simplify]: Simplify 1/4 into 1/4
9.968 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.968 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.968 * [taylor]: Taking taylor expansion of U in J
9.968 * [backup-simplify]: Simplify U into U
9.968 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.968 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.968 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.968 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.968 * [taylor]: Taking taylor expansion of 1/2 in J
9.968 * [backup-simplify]: Simplify 1/2 into 1/2
9.968 * [taylor]: Taking taylor expansion of K in J
9.968 * [backup-simplify]: Simplify K into K
9.968 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.968 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.968 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.969 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.969 * [backup-simplify]: Simplify (- 0) into 0
9.969 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.969 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.969 * [taylor]: Taking taylor expansion of J in J
9.969 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify 1 into 1
9.969 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.970 * [backup-simplify]: Simplify (* 1 1) into 1
9.970 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.970 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
9.970 * [taylor]: Taking taylor expansion of 1 in J
9.970 * [backup-simplify]: Simplify 1 into 1
9.971 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.971 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.971 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
9.971 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.972 * [backup-simplify]: Simplify (+ 0) into 0
9.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.974 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.975 * [backup-simplify]: Simplify (- 0) into 0
9.975 * [backup-simplify]: Simplify (+ 0 0) into 0
9.975 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.976 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.976 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.976 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
9.977 * [backup-simplify]: Simplify (+ 0 0) into 0
9.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
9.977 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
9.977 * [taylor]: Taking taylor expansion of -2 in U
9.977 * [backup-simplify]: Simplify -2 into -2
9.977 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
9.977 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
9.977 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.977 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.977 * [taylor]: Taking taylor expansion of 1/2 in U
9.977 * [backup-simplify]: Simplify 1/2 into 1/2
9.977 * [taylor]: Taking taylor expansion of K in U
9.977 * [backup-simplify]: Simplify K into K
9.977 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.978 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.978 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.978 * [taylor]: Taking taylor expansion of J in U
9.978 * [backup-simplify]: Simplify J into J
9.978 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.978 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.978 * [taylor]: Taking taylor expansion of 1/4 in U
9.978 * [backup-simplify]: Simplify 1/4 into 1/4
9.978 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.978 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.978 * [taylor]: Taking taylor expansion of U in U
9.978 * [backup-simplify]: Simplify 0 into 0
9.978 * [backup-simplify]: Simplify 1 into 1
9.978 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.978 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.978 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.978 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.978 * [taylor]: Taking taylor expansion of 1/2 in U
9.978 * [backup-simplify]: Simplify 1/2 into 1/2
9.978 * [taylor]: Taking taylor expansion of K in U
9.978 * [backup-simplify]: Simplify K into K
9.978 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.978 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.978 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.979 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.979 * [backup-simplify]: Simplify (- 0) into 0
9.979 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.979 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.979 * [taylor]: Taking taylor expansion of J in U
9.979 * [backup-simplify]: Simplify J into J
9.979 * [backup-simplify]: Simplify (* 1 1) into 1
9.980 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.980 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.980 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.980 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.980 * [taylor]: Taking taylor expansion of 1 in U
9.980 * [backup-simplify]: Simplify 1 into 1
9.980 * [backup-simplify]: Simplify (+ 0 1) into 1
9.981 * [backup-simplify]: Simplify (sqrt 1) into 1
9.981 * [backup-simplify]: Simplify (+ 0 0) into 0
9.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.982 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
9.982 * [taylor]: Taking taylor expansion of -2 in U
9.982 * [backup-simplify]: Simplify -2 into -2
9.982 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
9.982 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
9.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.982 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.982 * [taylor]: Taking taylor expansion of 1/2 in U
9.982 * [backup-simplify]: Simplify 1/2 into 1/2
9.982 * [taylor]: Taking taylor expansion of K in U
9.982 * [backup-simplify]: Simplify K into K
9.982 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.982 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.982 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.982 * [taylor]: Taking taylor expansion of J in U
9.982 * [backup-simplify]: Simplify J into J
9.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.983 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.983 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.983 * [taylor]: Taking taylor expansion of 1/4 in U
9.983 * [backup-simplify]: Simplify 1/4 into 1/4
9.983 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.983 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.983 * [taylor]: Taking taylor expansion of U in U
9.983 * [backup-simplify]: Simplify 0 into 0
9.983 * [backup-simplify]: Simplify 1 into 1
9.983 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.983 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.983 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.983 * [taylor]: Taking taylor expansion of 1/2 in U
9.983 * [backup-simplify]: Simplify 1/2 into 1/2
9.983 * [taylor]: Taking taylor expansion of K in U
9.983 * [backup-simplify]: Simplify K into K
9.983 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.983 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.983 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.983 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.983 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.984 * [backup-simplify]: Simplify (- 0) into 0
9.984 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.984 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.984 * [taylor]: Taking taylor expansion of J in U
9.984 * [backup-simplify]: Simplify J into J
9.984 * [backup-simplify]: Simplify (* 1 1) into 1
9.984 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.984 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.985 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.985 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.985 * [taylor]: Taking taylor expansion of 1 in U
9.985 * [backup-simplify]: Simplify 1 into 1
9.985 * [backup-simplify]: Simplify (+ 0 1) into 1
9.986 * [backup-simplify]: Simplify (sqrt 1) into 1
9.986 * [backup-simplify]: Simplify (+ 0 0) into 0
9.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.987 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.987 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.987 * [backup-simplify]: Simplify (- 0) into 0
9.987 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.987 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
9.987 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
9.988 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
9.988 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
9.988 * [taylor]: Taking taylor expansion of -2 in J
9.988 * [backup-simplify]: Simplify -2 into -2
9.988 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
9.988 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.988 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.988 * [taylor]: Taking taylor expansion of 1/2 in J
9.988 * [backup-simplify]: Simplify 1/2 into 1/2
9.988 * [taylor]: Taking taylor expansion of K in J
9.988 * [backup-simplify]: Simplify K into K
9.988 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.988 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.988 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.988 * [taylor]: Taking taylor expansion of J in J
9.988 * [backup-simplify]: Simplify 0 into 0
9.988 * [backup-simplify]: Simplify 1 into 1
9.988 * [backup-simplify]: Simplify (+ 0) into 0
9.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.991 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.991 * [backup-simplify]: Simplify (- 0) into 0
9.991 * [backup-simplify]: Simplify (+ 0 0) into 0
9.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
9.992 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
9.992 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
9.992 * [taylor]: Taking taylor expansion of 0 in J
9.992 * [backup-simplify]: Simplify 0 into 0
9.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.993 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.993 * [backup-simplify]: Simplify (- 0) into 0
9.993 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
9.994 * [backup-simplify]: Simplify (* -2 0) into 0
9.994 * [taylor]: Taking taylor expansion of 0 in K
9.994 * [backup-simplify]: Simplify 0 into 0
9.994 * [backup-simplify]: Simplify 0 into 0
9.994 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.994 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
9.995 * [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)))
9.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
9.999 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.999 * [backup-simplify]: Simplify (- 0) into 0
10.000 * [backup-simplify]: Simplify (+ 0 0) into 0
10.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
10.001 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
10.002 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
10.002 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
10.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
10.002 * [taylor]: Taking taylor expansion of 1/4 in J
10.002 * [backup-simplify]: Simplify 1/4 into 1/4
10.002 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
10.002 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
10.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
10.002 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
10.002 * [taylor]: Taking taylor expansion of 1/2 in J
10.002 * [backup-simplify]: Simplify 1/2 into 1/2
10.002 * [taylor]: Taking taylor expansion of K in J
10.002 * [backup-simplify]: Simplify K into K
10.002 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.002 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.002 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.002 * [taylor]: Taking taylor expansion of J in J
10.002 * [backup-simplify]: Simplify 0 into 0
10.002 * [backup-simplify]: Simplify 1 into 1
10.002 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.002 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.003 * [backup-simplify]: Simplify (- 0) into 0
10.003 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
10.003 * [backup-simplify]: Simplify (+ 0) into 0
10.004 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.005 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.006 * [backup-simplify]: Simplify (- 0) into 0
10.006 * [backup-simplify]: Simplify (+ 0 0) into 0
10.007 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
10.007 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
10.007 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
10.007 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
10.007 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
10.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
10.007 * [taylor]: Taking taylor expansion of 1/4 in K
10.007 * [backup-simplify]: Simplify 1/4 into 1/4
10.007 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
10.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
10.007 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
10.007 * [taylor]: Taking taylor expansion of 1/2 in K
10.007 * [backup-simplify]: Simplify 1/2 into 1/2
10.007 * [taylor]: Taking taylor expansion of K in K
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify 1 into 1
10.008 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.008 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.009 * [backup-simplify]: Simplify (/ 1 1) into 1
10.009 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
10.009 * [backup-simplify]: Simplify (- 1/4) into -1/4
10.010 * [backup-simplify]: Simplify -1/4 into -1/4
10.010 * [taylor]: Taking taylor expansion of 0 in K
10.010 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify (+ 0) into 0
10.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.012 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.012 * [backup-simplify]: Simplify (- 0) into 0
10.013 * [backup-simplify]: Simplify (+ 0 0) into 0
10.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
10.014 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
10.014 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
10.014 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
10.014 * [taylor]: Taking taylor expansion of 2 in K
10.014 * [backup-simplify]: Simplify 2 into 2
10.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
10.014 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
10.014 * [taylor]: Taking taylor expansion of 1/2 in K
10.014 * [backup-simplify]: Simplify 1/2 into 1/2
10.014 * [taylor]: Taking taylor expansion of K in K
10.014 * [backup-simplify]: Simplify 0 into 0
10.014 * [backup-simplify]: Simplify 1 into 1
10.014 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.015 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.015 * [backup-simplify]: Simplify (* 2 1) into 2
10.016 * [backup-simplify]: Simplify (- 2) into -2
10.016 * [backup-simplify]: Simplify -2 into -2
10.016 * [backup-simplify]: Simplify 0 into 0
10.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.017 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.017 * [backup-simplify]: Simplify (+ 0) into 0
10.017 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.019 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.019 * [backup-simplify]: Simplify (- 0) into 0
10.020 * [backup-simplify]: Simplify (+ 0 0) into 0
10.020 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.020 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
10.021 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
10.025 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
10.026 * [backup-simplify]: Simplify (+ 0 0) into 0
10.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
10.027 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
10.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.029 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.029 * [backup-simplify]: Simplify (- 0) into 0
10.030 * [backup-simplify]: Simplify (+ 0 0) into 0
10.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.031 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
10.031 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
10.031 * [taylor]: Taking taylor expansion of 0 in J
10.032 * [backup-simplify]: Simplify 0 into 0
10.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
10.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.034 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.034 * [backup-simplify]: Simplify (- 0) into 0
10.034 * [backup-simplify]: Simplify (+ 0 0) into 0
10.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
10.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
10.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
10.036 * [backup-simplify]: Simplify (- 0) into 0
10.036 * [taylor]: Taking taylor expansion of 0 in K
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [taylor]: Taking taylor expansion of 0 in K
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.037 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
10.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.038 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.038 * [backup-simplify]: Simplify (- 0) into 0
10.039 * [backup-simplify]: Simplify (+ 0 0) into 0
10.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
10.040 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
10.040 * [taylor]: Taking taylor expansion of 0 in K
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify (+ 0) into 0
10.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
10.041 * [backup-simplify]: Simplify (- 0) into 0
10.041 * [backup-simplify]: Simplify 0 into 0
10.041 * [backup-simplify]: Simplify 0 into 0
10.041 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
10.042 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
10.042 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
10.042 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
10.042 * [taylor]: Taking taylor expansion of -2 in K
10.042 * [backup-simplify]: Simplify -2 into -2
10.042 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
10.042 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
10.042 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
10.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
10.042 * [taylor]: Taking taylor expansion of 1/4 in K
10.042 * [backup-simplify]: Simplify 1/4 into 1/4
10.042 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
10.042 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.042 * [taylor]: Taking taylor expansion of J in K
10.042 * [backup-simplify]: Simplify J into J
10.042 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
10.042 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.042 * [taylor]: Taking taylor expansion of U in K
10.042 * [backup-simplify]: Simplify U into U
10.042 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
10.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.042 * [taylor]: Taking taylor expansion of 1/2 in K
10.042 * [backup-simplify]: Simplify 1/2 into 1/2
10.042 * [taylor]: Taking taylor expansion of K in K
10.042 * [backup-simplify]: Simplify 0 into 0
10.042 * [backup-simplify]: Simplify 1 into 1
10.042 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.042 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.043 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.043 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.043 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.043 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.043 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.043 * [taylor]: Taking taylor expansion of 1 in K
10.043 * [backup-simplify]: Simplify 1 into 1
10.043 * [backup-simplify]: Simplify (* 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))))
10.043 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
10.043 * [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))
10.044 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.044 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.044 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.044 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.045 * [backup-simplify]: Simplify (+ 0 0) into 0
10.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
10.045 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
10.045 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.045 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.045 * [taylor]: Taking taylor expansion of 1/2 in K
10.045 * [backup-simplify]: Simplify 1/2 into 1/2
10.045 * [taylor]: Taking taylor expansion of K in K
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 1 into 1
10.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.045 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.046 * [taylor]: Taking taylor expansion of J in K
10.046 * [backup-simplify]: Simplify J into J
10.046 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
10.046 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
10.046 * [taylor]: Taking taylor expansion of -2 in J
10.046 * [backup-simplify]: Simplify -2 into -2
10.046 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
10.046 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
10.046 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
10.046 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
10.046 * [taylor]: Taking taylor expansion of 1/4 in J
10.046 * [backup-simplify]: Simplify 1/4 into 1/4
10.046 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
10.046 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.046 * [taylor]: Taking taylor expansion of J in J
10.046 * [backup-simplify]: Simplify 0 into 0
10.046 * [backup-simplify]: Simplify 1 into 1
10.046 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
10.046 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.046 * [taylor]: Taking taylor expansion of U in J
10.046 * [backup-simplify]: Simplify U into U
10.046 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
10.046 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.046 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.046 * [taylor]: Taking taylor expansion of 1/2 in J
10.046 * [backup-simplify]: Simplify 1/2 into 1/2
10.046 * [taylor]: Taking taylor expansion of K in J
10.046 * [backup-simplify]: Simplify K into K
10.046 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.046 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.046 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.046 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.046 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.047 * [backup-simplify]: Simplify (- 0) into 0
10.047 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.047 * [backup-simplify]: Simplify (* 1 1) into 1
10.047 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.047 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.047 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.047 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.047 * [taylor]: Taking taylor expansion of 1 in J
10.047 * [backup-simplify]: Simplify 1 into 1
10.047 * [backup-simplify]: Simplify (+ 0 1) into 1
10.048 * [backup-simplify]: Simplify (sqrt 1) into 1
10.048 * [backup-simplify]: Simplify (+ 0 0) into 0
10.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.048 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
10.048 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.048 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.048 * [taylor]: Taking taylor expansion of 1/2 in J
10.049 * [backup-simplify]: Simplify 1/2 into 1/2
10.049 * [taylor]: Taking taylor expansion of K in J
10.049 * [backup-simplify]: Simplify K into K
10.049 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.049 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.049 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.049 * [taylor]: Taking taylor expansion of J in J
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 1 into 1
10.049 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.049 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.049 * [backup-simplify]: Simplify (- 0) into 0
10.049 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.049 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.049 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
10.049 * [taylor]: Taking taylor expansion of -2 in U
10.049 * [backup-simplify]: Simplify -2 into -2
10.049 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
10.049 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.049 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.049 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.049 * [taylor]: Taking taylor expansion of 1/4 in U
10.049 * [backup-simplify]: Simplify 1/4 into 1/4
10.049 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.049 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.049 * [taylor]: Taking taylor expansion of J in U
10.049 * [backup-simplify]: Simplify J into J
10.049 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.050 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.050 * [taylor]: Taking taylor expansion of U in U
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [backup-simplify]: Simplify 1 into 1
10.050 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.050 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.050 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.050 * [taylor]: Taking taylor expansion of 1/2 in U
10.050 * [backup-simplify]: Simplify 1/2 into 1/2
10.050 * [taylor]: Taking taylor expansion of K in U
10.050 * [backup-simplify]: Simplify K into K
10.050 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.050 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.050 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.050 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.050 * [backup-simplify]: Simplify (- 0) into 0
10.050 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.050 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.050 * [backup-simplify]: Simplify (* 1 1) into 1
10.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.051 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.051 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.051 * [taylor]: Taking taylor expansion of 1 in U
10.051 * [backup-simplify]: Simplify 1 into 1
10.051 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.051 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.051 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.051 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.052 * [backup-simplify]: Simplify (+ 0) into 0
10.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.053 * [backup-simplify]: Simplify (- 0) into 0
10.053 * [backup-simplify]: Simplify (+ 0 0) into 0
10.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.054 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.055 * [backup-simplify]: Simplify (+ 0 0) into 0
10.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.055 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
10.055 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.055 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.055 * [taylor]: Taking taylor expansion of 1/2 in U
10.055 * [backup-simplify]: Simplify 1/2 into 1/2
10.055 * [taylor]: Taking taylor expansion of K in U
10.055 * [backup-simplify]: Simplify K into K
10.055 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.055 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.055 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.055 * [taylor]: Taking taylor expansion of J in U
10.055 * [backup-simplify]: Simplify J into J
10.055 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.055 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.056 * [backup-simplify]: Simplify (- 0) into 0
10.056 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.056 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
10.056 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
10.056 * [taylor]: Taking taylor expansion of -2 in U
10.056 * [backup-simplify]: Simplify -2 into -2
10.056 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
10.056 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.056 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.056 * [taylor]: Taking taylor expansion of 1/4 in U
10.056 * [backup-simplify]: Simplify 1/4 into 1/4
10.056 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.056 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.056 * [taylor]: Taking taylor expansion of J in U
10.056 * [backup-simplify]: Simplify J into J
10.056 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.056 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.056 * [taylor]: Taking taylor expansion of U in U
10.056 * [backup-simplify]: Simplify 0 into 0
10.056 * [backup-simplify]: Simplify 1 into 1
10.056 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.056 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.056 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.056 * [taylor]: Taking taylor expansion of 1/2 in U
10.056 * [backup-simplify]: Simplify 1/2 into 1/2
10.056 * [taylor]: Taking taylor expansion of K in U
10.056 * [backup-simplify]: Simplify K into K
10.056 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.056 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.056 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.056 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.057 * [backup-simplify]: Simplify (- 0) into 0
10.057 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.057 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.057 * [backup-simplify]: Simplify (* 1 1) into 1
10.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.057 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.057 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.057 * [taylor]: Taking taylor expansion of 1 in U
10.057 * [backup-simplify]: Simplify 1 into 1
10.058 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.058 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.058 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.058 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.058 * [backup-simplify]: Simplify (+ 0) into 0
10.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.060 * [backup-simplify]: Simplify (- 0) into 0
10.060 * [backup-simplify]: Simplify (+ 0 0) into 0
10.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.061 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.062 * [backup-simplify]: Simplify (+ 0 0) into 0
10.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.062 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
10.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.062 * [taylor]: Taking taylor expansion of 1/2 in U
10.062 * [backup-simplify]: Simplify 1/2 into 1/2
10.062 * [taylor]: Taking taylor expansion of K in U
10.062 * [backup-simplify]: Simplify K into K
10.062 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.062 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.062 * [taylor]: Taking taylor expansion of J in U
10.062 * [backup-simplify]: Simplify J into J
10.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.063 * [backup-simplify]: Simplify (- 0) into 0
10.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.063 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
10.063 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
10.063 * [backup-simplify]: Simplify (* -2 1/2) into -1
10.063 * [taylor]: Taking taylor expansion of -1 in J
10.063 * [backup-simplify]: Simplify -1 into -1
10.063 * [backup-simplify]: Simplify (+ 0) into 0
10.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.065 * [backup-simplify]: Simplify (- 0) into 0
10.065 * [backup-simplify]: Simplify (+ 0 0) into 0
10.066 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
10.066 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
10.067 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
10.067 * [taylor]: Taking taylor expansion of 0 in J
10.067 * [backup-simplify]: Simplify 0 into 0
10.067 * [taylor]: Taking taylor expansion of -1 in K
10.067 * [backup-simplify]: Simplify -1 into -1
10.067 * [backup-simplify]: Simplify -1 into -1
10.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.069 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.070 * [backup-simplify]: Simplify (- 0) into 0
10.071 * [backup-simplify]: Simplify (+ 0 0) into 0
10.071 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
10.072 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.073 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.075 * [backup-simplify]: Simplify (- 0) into 0
10.076 * [backup-simplify]: Simplify (+ 0 0) into 0
10.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
10.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
10.078 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.080 * [backup-simplify]: Simplify (+ 0 1) into 1
10.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
10.082 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
10.083 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
10.083 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
10.083 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
10.083 * [taylor]: Taking taylor expansion of 2 in J
10.083 * [backup-simplify]: Simplify 2 into 2
10.083 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
10.083 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
10.083 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.083 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.083 * [taylor]: Taking taylor expansion of 1/2 in J
10.083 * [backup-simplify]: Simplify 1/2 into 1/2
10.083 * [taylor]: Taking taylor expansion of K in J
10.083 * [backup-simplify]: Simplify K into K
10.083 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.083 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.083 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.084 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.084 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.084 * [backup-simplify]: Simplify (- 0) into 0
10.084 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.084 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.084 * [taylor]: Taking taylor expansion of J in J
10.084 * [backup-simplify]: Simplify 0 into 0
10.084 * [backup-simplify]: Simplify 1 into 1
10.084 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.085 * [backup-simplify]: Simplify (* 1 1) into 1
10.085 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
10.085 * [backup-simplify]: Simplify (+ 0) into 0
10.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.088 * [backup-simplify]: Simplify (- 0) into 0
10.088 * [backup-simplify]: Simplify (+ 0 0) into 0
10.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
10.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.090 * [backup-simplify]: Simplify (- 0) into 0
10.090 * [taylor]: Taking taylor expansion of 0 in K
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [taylor]: Taking taylor expansion of 0 in K
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [taylor]: Taking taylor expansion of 0 in K
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.095 * [backup-simplify]: Simplify (- 0) into 0
10.095 * [backup-simplify]: Simplify (+ 0 0) into 0
10.096 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
10.096 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.097 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.101 * [backup-simplify]: Simplify (- 0) into 0
10.101 * [backup-simplify]: Simplify (+ 0 0) into 0
10.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
10.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.105 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.106 * [backup-simplify]: Simplify (+ 0 0) into 0
10.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
10.107 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
10.108 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
10.108 * [taylor]: Taking taylor expansion of 0 in J
10.108 * [backup-simplify]: Simplify 0 into 0
10.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.110 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.112 * [backup-simplify]: Simplify (- 0) into 0
10.112 * [backup-simplify]: Simplify (+ 0 0) into 0
10.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
10.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
10.116 * [backup-simplify]: Simplify (- 0) into 0
10.116 * [taylor]: Taking taylor expansion of 0 in K
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [taylor]: Taking taylor expansion of 0 in K
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
10.117 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
10.117 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
10.117 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
10.117 * [taylor]: Taking taylor expansion of 2 in K
10.117 * [backup-simplify]: Simplify 2 into 2
10.117 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
10.117 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
10.117 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
10.117 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
10.117 * [taylor]: Taking taylor expansion of -1/2 in K
10.117 * [backup-simplify]: Simplify -1/2 into -1/2
10.117 * [taylor]: Taking taylor expansion of K in K
10.117 * [backup-simplify]: Simplify 0 into 0
10.118 * [backup-simplify]: Simplify 1 into 1
10.118 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.118 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.118 * [taylor]: Taking taylor expansion of J in K
10.118 * [backup-simplify]: Simplify J into J
10.118 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
10.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
10.118 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
10.118 * [taylor]: Taking taylor expansion of 1 in K
10.118 * [backup-simplify]: Simplify 1 into 1
10.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
10.118 * [taylor]: Taking taylor expansion of 1/4 in K
10.118 * [backup-simplify]: Simplify 1/4 into 1/4
10.118 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
10.118 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.118 * [taylor]: Taking taylor expansion of J in K
10.118 * [backup-simplify]: Simplify J into J
10.119 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
10.119 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
10.119 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
10.119 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
10.119 * [taylor]: Taking taylor expansion of -1/2 in K
10.119 * [backup-simplify]: Simplify -1/2 into -1/2
10.119 * [taylor]: Taking taylor expansion of K in K
10.119 * [backup-simplify]: Simplify 0 into 0
10.119 * [backup-simplify]: Simplify 1 into 1
10.119 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.119 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.119 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.119 * [taylor]: Taking taylor expansion of U in K
10.119 * [backup-simplify]: Simplify U into U
10.119 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.120 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.120 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.120 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.120 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
10.120 * [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)))))
10.121 * [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))))))
10.121 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.121 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.121 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
10.122 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
10.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
10.123 * [backup-simplify]: Simplify (+ 0 0) into 0
10.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
10.123 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
10.123 * [taylor]: Taking taylor expansion of 2 in J
10.123 * [backup-simplify]: Simplify 2 into 2
10.123 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
10.124 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
10.124 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.124 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.124 * [taylor]: Taking taylor expansion of -1/2 in J
10.124 * [backup-simplify]: Simplify -1/2 into -1/2
10.124 * [taylor]: Taking taylor expansion of K in J
10.124 * [backup-simplify]: Simplify K into K
10.124 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.124 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.124 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.124 * [taylor]: Taking taylor expansion of J in J
10.124 * [backup-simplify]: Simplify 0 into 0
10.124 * [backup-simplify]: Simplify 1 into 1
10.124 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.124 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.124 * [backup-simplify]: Simplify (- 0) into 0
10.125 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.125 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.125 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
10.125 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
10.125 * [taylor]: Taking taylor expansion of 1 in J
10.125 * [backup-simplify]: Simplify 1 into 1
10.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
10.125 * [taylor]: Taking taylor expansion of 1/4 in J
10.125 * [backup-simplify]: Simplify 1/4 into 1/4
10.125 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
10.125 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.125 * [taylor]: Taking taylor expansion of J in J
10.125 * [backup-simplify]: Simplify 0 into 0
10.125 * [backup-simplify]: Simplify 1 into 1
10.125 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
10.125 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
10.125 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.125 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.125 * [taylor]: Taking taylor expansion of -1/2 in J
10.125 * [backup-simplify]: Simplify -1/2 into -1/2
10.125 * [taylor]: Taking taylor expansion of K in J
10.125 * [backup-simplify]: Simplify K into K
10.125 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.125 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.125 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.125 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.126 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.126 * [backup-simplify]: Simplify (- 0) into 0
10.126 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.126 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.126 * [taylor]: Taking taylor expansion of U in J
10.126 * [backup-simplify]: Simplify U into U
10.126 * [backup-simplify]: Simplify (* 1 1) into 1
10.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.127 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.127 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.127 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.127 * [backup-simplify]: Simplify (+ 1 0) into 1
10.128 * [backup-simplify]: Simplify (sqrt 1) into 1
10.128 * [backup-simplify]: Simplify (+ 0 0) into 0
10.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.129 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
10.129 * [taylor]: Taking taylor expansion of 2 in U
10.129 * [backup-simplify]: Simplify 2 into 2
10.129 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
10.129 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
10.129 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.129 * [taylor]: Taking taylor expansion of -1/2 in U
10.129 * [backup-simplify]: Simplify -1/2 into -1/2
10.129 * [taylor]: Taking taylor expansion of K in U
10.129 * [backup-simplify]: Simplify K into K
10.129 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.129 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.129 * [taylor]: Taking taylor expansion of J in U
10.129 * [backup-simplify]: Simplify J into J
10.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.130 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.130 * [backup-simplify]: Simplify (- 0) into 0
10.130 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.130 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
10.130 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
10.130 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
10.130 * [taylor]: Taking taylor expansion of 1 in U
10.130 * [backup-simplify]: Simplify 1 into 1
10.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
10.130 * [taylor]: Taking taylor expansion of 1/4 in U
10.130 * [backup-simplify]: Simplify 1/4 into 1/4
10.130 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
10.130 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.130 * [taylor]: Taking taylor expansion of J in U
10.130 * [backup-simplify]: Simplify J into J
10.130 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
10.130 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
10.130 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.130 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.131 * [taylor]: Taking taylor expansion of -1/2 in U
10.131 * [backup-simplify]: Simplify -1/2 into -1/2
10.131 * [taylor]: Taking taylor expansion of K in U
10.131 * [backup-simplify]: Simplify K into K
10.131 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.131 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.131 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.131 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.131 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.132 * [backup-simplify]: Simplify (- 0) into 0
10.132 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.132 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.132 * [taylor]: Taking taylor expansion of U in U
10.132 * [backup-simplify]: Simplify 0 into 0
10.132 * [backup-simplify]: Simplify 1 into 1
10.132 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.132 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.132 * [backup-simplify]: Simplify (* 1 1) into 1
10.132 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.133 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
10.133 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.133 * [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)))
10.133 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
10.133 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.134 * [backup-simplify]: Simplify (+ 0) into 0
10.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.136 * [backup-simplify]: Simplify (- 0) into 0
10.137 * [backup-simplify]: Simplify (+ 0 0) into 0
10.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.137 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
10.137 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.138 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
10.138 * [backup-simplify]: Simplify (+ 0 0) into 0
10.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.138 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
10.138 * [taylor]: Taking taylor expansion of 2 in U
10.138 * [backup-simplify]: Simplify 2 into 2
10.138 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
10.138 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
10.138 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.138 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.138 * [taylor]: Taking taylor expansion of -1/2 in U
10.138 * [backup-simplify]: Simplify -1/2 into -1/2
10.139 * [taylor]: Taking taylor expansion of K in U
10.139 * [backup-simplify]: Simplify K into K
10.139 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.139 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.139 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.139 * [taylor]: Taking taylor expansion of J in U
10.139 * [backup-simplify]: Simplify J into J
10.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.139 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.139 * [backup-simplify]: Simplify (- 0) into 0
10.139 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.139 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
10.139 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
10.139 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
10.139 * [taylor]: Taking taylor expansion of 1 in U
10.139 * [backup-simplify]: Simplify 1 into 1
10.139 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
10.139 * [taylor]: Taking taylor expansion of 1/4 in U
10.139 * [backup-simplify]: Simplify 1/4 into 1/4
10.139 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
10.140 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.140 * [taylor]: Taking taylor expansion of J in U
10.140 * [backup-simplify]: Simplify J into J
10.140 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
10.140 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
10.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.140 * [taylor]: Taking taylor expansion of -1/2 in U
10.140 * [backup-simplify]: Simplify -1/2 into -1/2
10.140 * [taylor]: Taking taylor expansion of K in U
10.140 * [backup-simplify]: Simplify K into K
10.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.140 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.140 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.140 * [backup-simplify]: Simplify (- 0) into 0
10.141 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.141 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.141 * [taylor]: Taking taylor expansion of U in U
10.141 * [backup-simplify]: Simplify 0 into 0
10.141 * [backup-simplify]: Simplify 1 into 1
10.141 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.141 * [backup-simplify]: Simplify (* 1 1) into 1
10.141 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.142 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
10.142 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.142 * [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)))
10.142 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
10.142 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.148 * [backup-simplify]: Simplify (+ 0) into 0
10.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.150 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.150 * [backup-simplify]: Simplify (- 0) into 0
10.150 * [backup-simplify]: Simplify (+ 0 0) into 0
10.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.151 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
10.151 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
10.152 * [backup-simplify]: Simplify (+ 0 0) into 0
10.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.153 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
10.153 * [backup-simplify]: Simplify (* 2 1/2) into 1
10.153 * [taylor]: Taking taylor expansion of 1 in J
10.153 * [backup-simplify]: Simplify 1 into 1
10.154 * [backup-simplify]: Simplify (+ 0) into 0
10.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.156 * [backup-simplify]: Simplify (- 0) into 0
10.157 * [backup-simplify]: Simplify (+ 0 0) into 0
10.157 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
10.157 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
10.158 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
10.158 * [taylor]: Taking taylor expansion of 0 in J
10.158 * [backup-simplify]: Simplify 0 into 0
10.158 * [taylor]: Taking taylor expansion of 1 in K
10.158 * [backup-simplify]: Simplify 1 into 1
10.158 * [backup-simplify]: Simplify 1 into 1
10.158 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.162 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.163 * [backup-simplify]: Simplify (- 0) into 0
10.163 * [backup-simplify]: Simplify (+ 0 0) into 0
10.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
10.164 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.165 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
10.166 * [backup-simplify]: Simplify (+ 1 0) into 1
10.167 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
10.168 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.170 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.171 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.171 * [backup-simplify]: Simplify (- 0) into 0
10.172 * [backup-simplify]: Simplify (+ 0 0) into 0
10.172 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
10.173 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
10.174 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
10.174 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
10.174 * [taylor]: Taking taylor expansion of 2 in J
10.174 * [backup-simplify]: Simplify 2 into 2
10.174 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
10.174 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
10.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.174 * [taylor]: Taking taylor expansion of -1/2 in J
10.174 * [backup-simplify]: Simplify -1/2 into -1/2
10.174 * [taylor]: Taking taylor expansion of K in J
10.174 * [backup-simplify]: Simplify K into K
10.174 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.174 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.175 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.175 * [backup-simplify]: Simplify (- 0) into 0
10.175 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.175 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.175 * [taylor]: Taking taylor expansion of J in J
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify 1 into 1
10.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.176 * [backup-simplify]: Simplify (* 1 1) into 1
10.176 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.176 * [backup-simplify]: Simplify (+ 0) into 0
10.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.178 * [backup-simplify]: Simplify (- 0) into 0
10.179 * [backup-simplify]: Simplify (+ 0 0) into 0
10.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
10.181 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
10.181 * [taylor]: Taking taylor expansion of 0 in K
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [taylor]: Taking taylor expansion of 0 in K
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [taylor]: Taking taylor expansion of 0 in K
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify 0 into 0
10.182 * [backup-simplify]: Simplify 0 into 0
10.182 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.186 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.186 * [backup-simplify]: Simplify (- 0) into 0
10.187 * [backup-simplify]: Simplify (+ 0 0) into 0
10.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
10.188 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.188 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.189 * [backup-simplify]: Simplify (+ 0 0) into 0
10.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
10.190 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.192 * [backup-simplify]: Simplify (- 0) into 0
10.193 * [backup-simplify]: Simplify (+ 0 0) into 0
10.193 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
10.194 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
10.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
10.195 * [taylor]: Taking taylor expansion of 0 in J
10.195 * [backup-simplify]: Simplify 0 into 0
10.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.199 * [backup-simplify]: Simplify (- 0) into 0
10.199 * [backup-simplify]: Simplify (+ 0 0) into 0
10.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
10.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
10.203 * [taylor]: Taking taylor expansion of 0 in K
10.203 * [backup-simplify]: Simplify 0 into 0
10.203 * [backup-simplify]: Simplify 0 into 0
10.203 * [taylor]: Taking taylor expansion of 0 in K
10.203 * [backup-simplify]: Simplify 0 into 0
10.203 * [backup-simplify]: Simplify 0 into 0
10.203 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
10.203 * * * [progress]: simplifying candidates
10.203 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (cos (/ K 2))) (* -2 J)))))>
10.203 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 9 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 10 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 12 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (cos (/ K 2))) (* -2 J)))))>
10.204 * * * * [progress]: [ 13 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 15 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 18 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 19 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.205 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 25 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.206 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 42 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 43 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 45 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.207 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.208 * * * * [progress]: [ 47 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.208 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.208 * * * * [progress]: [ 49 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))))>
10.208 * * * * [progress]: [ 50 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))))>
10.208 * * * * [progress]: [ 51 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))))>
10.208 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))))>
10.208 * * * * [progress]: [ 53 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) 1))))>
10.208 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (+ (log -2) (log J)))))))>
10.208 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (log (* -2 J)))))))>
10.208 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (+ (log -2) (log J)))))))>
10.208 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (log (* -2 J)))))))>
10.209 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (log (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))))>
10.209 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (log (exp (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))))>
10.209 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))))))>
10.209 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))))))>
10.209 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))))))>
10.209 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))))))>
10.209 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))))>
10.209 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))))>
10.209 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))))>
10.209 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* 1 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))))))>
10.209 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) -2) J))))>
10.210 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
10.210 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (/ (* (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (cos (/ K 2))) (* -2 J)) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
10.210 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (/ (* (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (cos (/ K 2))) (* -2 J)) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
10.210 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (posit16->real (real->posit16 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))))>
10.210 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* -2 J) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))))))>
10.210 * * * * [progress]: [ 74 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* 1 (cos (/ K 2))) (* -2 J)))))>
10.210 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J)))))>
10.210 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J)))))>
10.210 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* 1 (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.210 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.210 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.210 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1 (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.211 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.211 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
10.211 * * * * [progress]: [ 83 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))))>
10.211 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* -1 U))))>
10.211 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* -1 U))))>
10.213 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ 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)) (sqrt (+ (* (/ 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)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ 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)) (sqrt (+ (* (/ 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)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ 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)) (sqrt (+ (* (/ 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)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ 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)) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))
  (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (+ (log -2) (log J)))
  (+ (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (cos (/ K 2)))) (log (* -2 J)))
  (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (+ (log -2) (log J)))
  (+ (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (log (* -2 J)))
  (log (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (exp (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))
  (* (* (* (* (sqrt (+ (* (/ 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))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))
  (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))
  (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))
  (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))))
  (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (* (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) -2)
  (* (cos (/ K 2)) (* -2 J))
  (* (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (cos (/ K 2))) (* -2 J))
  (* (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (cos (/ K 2))) (* -2 J))
  (real->posit16 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
  (* -1 U)
  (* -1 U)
10.217 * * [simplify]: iteration 1: (102 enodes)
10.246 * * [simplify]: iteration 2: (247 enodes)
10.340 * * [simplify]: iteration 3: (847 enodes)
11.520 * * [simplify]: Extracting #0: cost 31 inf + 0
11.522 * * [simplify]: Extracting #1: cost 326 inf + 2
11.528 * * [simplify]: Extracting #2: cost 969 inf + 1555
11.546 * * [simplify]: Extracting #3: cost 1217 inf + 7237
11.561 * * [simplify]: Extracting #4: cost 1239 inf + 15941
11.595 * * [simplify]: Extracting #5: cost 973 inf + 94599
11.706 * * [simplify]: Extracting #6: cost 307 inf + 371165
11.879 * * [simplify]: Extracting #7: cost 4 inf + 524855
12.041 * * [simplify]: Extracting #8: cost 0 inf + 525612
12.209 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ 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)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (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))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (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))))) (- 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ 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)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (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))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (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))))) (- 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ 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)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (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))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (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))))) (- 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (exp (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (* (* (* (* (cos (/ K 2)) (* J -2)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* J -2))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cos (/ K 2)))
  (* (* (* (* (* (cos (/ K 2)) (* J -2)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* J -2))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cos (/ K 2)))
  (* (* (* (* (* (cos (/ K 2)) (* J -2)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* J -2))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cos (/ K 2)))
  (* (* (* (* (* (cos (/ K 2)) (* J -2)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* J -2))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cos (/ K 2)))
  (* (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))) (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))))
  (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (* (* (* (* (cos (/ K 2)) (* J -2)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* J -2))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cos (/ K 2)))
  (sqrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (sqrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) -2)
  (* (cos (/ K 2)) (* J -2))
  (* (- (* (* 2 J) (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))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (cos (/ K 2)))
  (* (cos (/ K 2)) (- (* (* 2 J) (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))))))))))
  (real->posit16 (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  1
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  1
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  1
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  (- (* -1/4 (* (/ U J) U)) (* 2 J))
  (- U)
  (- U)
12.240 * * * [progress]: adding candidates to table
13.322 * * [progress]: iteration 4 / 4
13.322 * * * [progress]: picking best candidate
13.386 * * * * [pick]: Picked  #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
13.386 * * * [progress]: localizing error
13.516 * * * [progress]: generating rewritten candidates
13.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
17.001 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
18.591 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
21.643 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
21.657 * * * [progress]: generating series expansions
21.657 * * * * [progress]: [ 1 / 4 ] generating series at (2)
21.661 * [backup-simplify]: Simplify (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))))
21.661 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in (U J K) around 0
21.661 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in K
21.661 * [taylor]: Taking taylor expansion of -2 in K
21.661 * [backup-simplify]: Simplify -2 into -2
21.661 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in K
21.661 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
21.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.661 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.661 * [taylor]: Taking taylor expansion of 1/2 in K
21.661 * [backup-simplify]: Simplify 1/2 into 1/2
21.661 * [taylor]: Taking taylor expansion of K in K
21.661 * [backup-simplify]: Simplify 0 into 0
21.661 * [backup-simplify]: Simplify 1 into 1
21.662 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.663 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.663 * [taylor]: Taking taylor expansion of J in K
21.663 * [backup-simplify]: Simplify J into J
21.663 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in K
21.663 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in K
21.663 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in K
21.663 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in K
21.663 * [taylor]: Taking taylor expansion of 1/64 in K
21.663 * [backup-simplify]: Simplify 1/64 into 1/64
21.663 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in K
21.663 * [taylor]: Taking taylor expansion of (pow U 6) in K
21.663 * [taylor]: Taking taylor expansion of U in K
21.663 * [backup-simplify]: Simplify U into U
21.663 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in K
21.663 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in K
21.663 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.663 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.663 * [taylor]: Taking taylor expansion of 1/2 in K
21.663 * [backup-simplify]: Simplify 1/2 into 1/2
21.663 * [taylor]: Taking taylor expansion of K in K
21.663 * [backup-simplify]: Simplify 0 into 0
21.663 * [backup-simplify]: Simplify 1 into 1
21.664 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.665 * [taylor]: Taking taylor expansion of (pow J 6) in K
21.665 * [taylor]: Taking taylor expansion of J in K
21.665 * [backup-simplify]: Simplify J into J
21.665 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.665 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
21.665 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
21.666 * [backup-simplify]: Simplify (* 1 1) into 1
21.666 * [backup-simplify]: Simplify (* 1 1) into 1
21.667 * [backup-simplify]: Simplify (* 1 1) into 1
21.667 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.667 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.667 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.667 * [backup-simplify]: Simplify (* 1 (pow J 6)) into (pow J 6)
21.667 * [backup-simplify]: Simplify (/ (pow U 6) (pow J 6)) into (/ (pow U 6) (pow J 6))
21.667 * [taylor]: Taking taylor expansion of 1 in K
21.667 * [backup-simplify]: Simplify 1 into 1
21.667 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
21.667 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
21.667 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
21.667 * [taylor]: Taking taylor expansion of 1/16 in K
21.667 * [backup-simplify]: Simplify 1/16 into 1/16
21.667 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
21.667 * [taylor]: Taking taylor expansion of (pow U 4) in K
21.667 * [taylor]: Taking taylor expansion of U in K
21.667 * [backup-simplify]: Simplify U into U
21.667 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
21.667 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
21.667 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.667 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.668 * [taylor]: Taking taylor expansion of 1/2 in K
21.668 * [backup-simplify]: Simplify 1/2 into 1/2
21.668 * [taylor]: Taking taylor expansion of K in K
21.668 * [backup-simplify]: Simplify 0 into 0
21.668 * [backup-simplify]: Simplify 1 into 1
21.668 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.669 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.669 * [taylor]: Taking taylor expansion of (pow J 4) in K
21.669 * [taylor]: Taking taylor expansion of J in K
21.669 * [backup-simplify]: Simplify J into J
21.669 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.669 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
21.670 * [backup-simplify]: Simplify (* 1 1) into 1
21.670 * [backup-simplify]: Simplify (* 1 1) into 1
21.670 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.671 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.671 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
21.671 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
21.671 * [taylor]: Taking taylor expansion of 1 in K
21.671 * [backup-simplify]: Simplify 1 into 1
21.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
21.671 * [taylor]: Taking taylor expansion of 1/4 in K
21.671 * [backup-simplify]: Simplify 1/4 into 1/4
21.671 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
21.671 * [taylor]: Taking taylor expansion of (pow U 2) in K
21.671 * [taylor]: Taking taylor expansion of U in K
21.671 * [backup-simplify]: Simplify U into U
21.671 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
21.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
21.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.671 * [taylor]: Taking taylor expansion of 1/2 in K
21.671 * [backup-simplify]: Simplify 1/2 into 1/2
21.671 * [taylor]: Taking taylor expansion of K in K
21.671 * [backup-simplify]: Simplify 0 into 0
21.671 * [backup-simplify]: Simplify 1 into 1
21.672 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.673 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.673 * [taylor]: Taking taylor expansion of (pow J 2) in K
21.673 * [taylor]: Taking taylor expansion of J in K
21.673 * [backup-simplify]: Simplify J into J
21.673 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.673 * [backup-simplify]: Simplify (* 1 1) into 1
21.673 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.673 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
21.673 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
21.674 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow J 6))) into (* 1/64 (/ (pow U 6) (pow J 6)))
21.674 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) into (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)
21.674 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow J 4))) into (* 1/16 (/ (pow U 4) (pow J 4)))
21.674 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) into (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1)
21.674 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
21.675 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow U 2) (pow J 2)))) into (- (* 1/4 (/ (pow U 2) (pow J 2))))
21.675 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
21.676 * [backup-simplify]: Simplify (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) into (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))
21.677 * [backup-simplify]: Simplify (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))) into (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))
21.677 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.677 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
21.677 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
21.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
21.678 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
21.678 * [backup-simplify]: Simplify (+ 0) into 0
21.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 6))) into 0
21.681 * [backup-simplify]: Simplify (- (/ 0 (pow J 6)) (+ (* (/ (pow U 6) (pow J 6)) (/ 0 (pow J 6))))) into 0
21.682 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow J 6)))) into 0
21.682 * [backup-simplify]: Simplify (+ 0 0) into 0
21.682 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.682 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
21.682 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.683 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
21.683 * [backup-simplify]: Simplify (+ 0) into 0
21.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 4))) into 0
21.685 * [backup-simplify]: Simplify (- (/ 0 (pow J 4)) (+ (* (/ (pow U 4) (pow J 4)) (/ 0 (pow J 4))))) into 0
21.686 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow J 4)))) into 0
21.686 * [backup-simplify]: Simplify (+ 0 0) into 0
21.686 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.687 * [backup-simplify]: Simplify (+ 0) into 0
21.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
21.688 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
21.689 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
21.689 * [backup-simplify]: Simplify (- 0) into 0
21.690 * [backup-simplify]: Simplify (+ 0 0) into 0
21.691 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) (/ 0 (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
21.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
21.692 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in J
21.692 * [taylor]: Taking taylor expansion of -2 in J
21.692 * [backup-simplify]: Simplify -2 into -2
21.692 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in J
21.692 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
21.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.692 * [taylor]: Taking taylor expansion of 1/2 in J
21.692 * [backup-simplify]: Simplify 1/2 into 1/2
21.693 * [taylor]: Taking taylor expansion of K in J
21.693 * [backup-simplify]: Simplify K into K
21.693 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.693 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.693 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.693 * [taylor]: Taking taylor expansion of J in J
21.693 * [backup-simplify]: Simplify 0 into 0
21.693 * [backup-simplify]: Simplify 1 into 1
21.693 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in J
21.693 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in J
21.693 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in J
21.693 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in J
21.693 * [taylor]: Taking taylor expansion of 1/64 in J
21.693 * [backup-simplify]: Simplify 1/64 into 1/64
21.693 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in J
21.693 * [taylor]: Taking taylor expansion of (pow U 6) in J
21.693 * [taylor]: Taking taylor expansion of U in J
21.693 * [backup-simplify]: Simplify U into U
21.693 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in J
21.693 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in J
21.693 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.693 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.693 * [taylor]: Taking taylor expansion of 1/2 in J
21.693 * [backup-simplify]: Simplify 1/2 into 1/2
21.693 * [taylor]: Taking taylor expansion of K in J
21.693 * [backup-simplify]: Simplify K into K
21.693 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.694 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.694 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.694 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.694 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.694 * [backup-simplify]: Simplify (- 0) into 0
21.694 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.694 * [taylor]: Taking taylor expansion of (pow J 6) in J
21.694 * [taylor]: Taking taylor expansion of J in J
21.694 * [backup-simplify]: Simplify 0 into 0
21.695 * [backup-simplify]: Simplify 1 into 1
21.695 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.695 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
21.695 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
21.695 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.695 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
21.695 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
21.696 * [backup-simplify]: Simplify (* 1 1) into 1
21.696 * [backup-simplify]: Simplify (* 1 1) into 1
21.697 * [backup-simplify]: Simplify (* 1 1) into 1
21.697 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) 1) into (pow (cos (* 1/2 K)) 6)
21.697 * [backup-simplify]: Simplify (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) into (/ (pow U 6) (pow (cos (* 1/2 K)) 6))
21.697 * [taylor]: Taking taylor expansion of 1 in J
21.697 * [backup-simplify]: Simplify 1 into 1
21.697 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
21.697 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
21.697 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
21.697 * [taylor]: Taking taylor expansion of 1/16 in J
21.697 * [backup-simplify]: Simplify 1/16 into 1/16
21.697 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
21.697 * [taylor]: Taking taylor expansion of (pow U 4) in J
21.697 * [taylor]: Taking taylor expansion of U in J
21.697 * [backup-simplify]: Simplify U into U
21.697 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
21.697 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
21.697 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.697 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.697 * [taylor]: Taking taylor expansion of 1/2 in J
21.697 * [backup-simplify]: Simplify 1/2 into 1/2
21.697 * [taylor]: Taking taylor expansion of K in J
21.697 * [backup-simplify]: Simplify K into K
21.697 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.697 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.698 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.698 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.698 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.698 * [backup-simplify]: Simplify (- 0) into 0
21.698 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.698 * [taylor]: Taking taylor expansion of (pow J 4) in J
21.698 * [taylor]: Taking taylor expansion of J in J
21.698 * [backup-simplify]: Simplify 0 into 0
21.698 * [backup-simplify]: Simplify 1 into 1
21.698 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.698 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
21.699 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.699 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
21.699 * [backup-simplify]: Simplify (* 1 1) into 1
21.700 * [backup-simplify]: Simplify (* 1 1) into 1
21.700 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
21.700 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
21.700 * [taylor]: Taking taylor expansion of 1 in J
21.700 * [backup-simplify]: Simplify 1 into 1
21.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
21.700 * [taylor]: Taking taylor expansion of 1/4 in J
21.700 * [backup-simplify]: Simplify 1/4 into 1/4
21.700 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
21.700 * [taylor]: Taking taylor expansion of (pow U 2) in J
21.700 * [taylor]: Taking taylor expansion of U in J
21.700 * [backup-simplify]: Simplify U into U
21.700 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
21.700 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
21.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.700 * [taylor]: Taking taylor expansion of 1/2 in J
21.700 * [backup-simplify]: Simplify 1/2 into 1/2
21.700 * [taylor]: Taking taylor expansion of K in J
21.700 * [backup-simplify]: Simplify K into K
21.701 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.701 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.701 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.701 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.701 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.701 * [backup-simplify]: Simplify (- 0) into 0
21.701 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.701 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.702 * [taylor]: Taking taylor expansion of J in J
21.702 * [backup-simplify]: Simplify 0 into 0
21.702 * [backup-simplify]: Simplify 1 into 1
21.702 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.702 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.702 * [backup-simplify]: Simplify (* 1 1) into 1
21.702 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
21.703 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
21.703 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
21.703 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) 0) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
21.703 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
21.704 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
21.704 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
21.704 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
21.705 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
21.705 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.705 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
21.705 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
21.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.707 * [backup-simplify]: Simplify (+ 0) into 0
21.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.710 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.710 * [backup-simplify]: Simplify (- 0) into 0
21.711 * [backup-simplify]: Simplify (+ 0 0) into 0
21.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
21.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
21.711 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 3) 0) (* 0 (pow (cos (* 1/2 K)) 3))) into 0
21.712 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 6) 0) (* 0 1)) into 0
21.712 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 6)) (+ (* (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) (/ 0 (pow (cos (* 1/2 K)) 6))))) into 0
21.713 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into 0
21.713 * [backup-simplify]: Simplify (+ 0 0) into 0
21.713 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.713 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
21.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.715 * [backup-simplify]: Simplify (+ 0) into 0
21.716 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.722 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.723 * [backup-simplify]: Simplify (- 0) into 0
21.723 * [backup-simplify]: Simplify (+ 0 0) into 0
21.723 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
21.723 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
21.724 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
21.724 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
21.724 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into 0
21.725 * [backup-simplify]: Simplify (+ 0 0) into 0
21.725 * [backup-simplify]: Simplify (+ 0 0) into 0
21.725 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))))))) into 0
21.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
21.725 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in U
21.725 * [taylor]: Taking taylor expansion of -2 in U
21.725 * [backup-simplify]: Simplify -2 into -2
21.726 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
21.726 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
21.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.726 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.726 * [taylor]: Taking taylor expansion of 1/2 in U
21.726 * [backup-simplify]: Simplify 1/2 into 1/2
21.726 * [taylor]: Taking taylor expansion of K in U
21.726 * [backup-simplify]: Simplify K into K
21.726 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.726 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.726 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.726 * [taylor]: Taking taylor expansion of J in U
21.726 * [backup-simplify]: Simplify J into J
21.726 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
21.726 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
21.726 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
21.726 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
21.726 * [taylor]: Taking taylor expansion of 1/64 in U
21.726 * [backup-simplify]: Simplify 1/64 into 1/64
21.726 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
21.726 * [taylor]: Taking taylor expansion of (pow U 6) in U
21.726 * [taylor]: Taking taylor expansion of U in U
21.726 * [backup-simplify]: Simplify 0 into 0
21.726 * [backup-simplify]: Simplify 1 into 1
21.726 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
21.726 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
21.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.726 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.726 * [taylor]: Taking taylor expansion of 1/2 in U
21.726 * [backup-simplify]: Simplify 1/2 into 1/2
21.726 * [taylor]: Taking taylor expansion of K in U
21.726 * [backup-simplify]: Simplify K into K
21.726 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.726 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.726 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.726 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.726 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.727 * [backup-simplify]: Simplify (- 0) into 0
21.727 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.727 * [taylor]: Taking taylor expansion of (pow J 6) in U
21.727 * [taylor]: Taking taylor expansion of J in U
21.727 * [backup-simplify]: Simplify J into J
21.727 * [backup-simplify]: Simplify (* 1 1) into 1
21.727 * [backup-simplify]: Simplify (* 1 1) into 1
21.728 * [backup-simplify]: Simplify (* 1 1) into 1
21.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
21.728 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
21.728 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.728 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.728 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.728 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
21.728 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
21.728 * [taylor]: Taking taylor expansion of 1 in U
21.728 * [backup-simplify]: Simplify 1 into 1
21.728 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
21.728 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
21.728 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
21.728 * [taylor]: Taking taylor expansion of 1/16 in U
21.728 * [backup-simplify]: Simplify 1/16 into 1/16
21.728 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
21.728 * [taylor]: Taking taylor expansion of (pow U 4) in U
21.728 * [taylor]: Taking taylor expansion of U in U
21.728 * [backup-simplify]: Simplify 0 into 0
21.728 * [backup-simplify]: Simplify 1 into 1
21.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
21.728 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
21.729 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.729 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.729 * [taylor]: Taking taylor expansion of 1/2 in U
21.729 * [backup-simplify]: Simplify 1/2 into 1/2
21.729 * [taylor]: Taking taylor expansion of K in U
21.729 * [backup-simplify]: Simplify K into K
21.729 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.729 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.729 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.729 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.729 * [backup-simplify]: Simplify (- 0) into 0
21.729 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.729 * [taylor]: Taking taylor expansion of (pow J 4) in U
21.729 * [taylor]: Taking taylor expansion of J in U
21.729 * [backup-simplify]: Simplify J into J
21.730 * [backup-simplify]: Simplify (* 1 1) into 1
21.730 * [backup-simplify]: Simplify (* 1 1) into 1
21.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.730 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
21.730 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.730 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.730 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
21.731 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
21.731 * [taylor]: Taking taylor expansion of 1 in U
21.731 * [backup-simplify]: Simplify 1 into 1
21.731 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
21.731 * [taylor]: Taking taylor expansion of 1/4 in U
21.731 * [backup-simplify]: Simplify 1/4 into 1/4
21.731 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
21.731 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.731 * [taylor]: Taking taylor expansion of U in U
21.731 * [backup-simplify]: Simplify 0 into 0
21.731 * [backup-simplify]: Simplify 1 into 1
21.731 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
21.731 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
21.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.731 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.731 * [taylor]: Taking taylor expansion of 1/2 in U
21.731 * [backup-simplify]: Simplify 1/2 into 1/2
21.731 * [taylor]: Taking taylor expansion of K in U
21.731 * [backup-simplify]: Simplify K into K
21.731 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.731 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.731 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.731 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.731 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.732 * [backup-simplify]: Simplify (- 0) into 0
21.732 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.732 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.732 * [taylor]: Taking taylor expansion of J in U
21.732 * [backup-simplify]: Simplify J into J
21.732 * [backup-simplify]: Simplify (* 1 1) into 1
21.732 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.732 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.732 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
21.732 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.733 * [backup-simplify]: Simplify (+ 0 1) into 1
21.733 * [backup-simplify]: Simplify (+ 0 1) into 1
21.733 * [backup-simplify]: Simplify (+ 1 0) into 1
21.733 * [backup-simplify]: Simplify (/ 1 1) into 1
21.734 * [backup-simplify]: Simplify (sqrt 1) into 1
21.734 * [backup-simplify]: Simplify (+ 0 0) into 0
21.734 * [backup-simplify]: Simplify (+ 0 0) into 0
21.735 * [backup-simplify]: Simplify (+ 0 0) into 0
21.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
21.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.736 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in U
21.736 * [taylor]: Taking taylor expansion of -2 in U
21.736 * [backup-simplify]: Simplify -2 into -2
21.736 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
21.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
21.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.736 * [taylor]: Taking taylor expansion of 1/2 in U
21.736 * [backup-simplify]: Simplify 1/2 into 1/2
21.736 * [taylor]: Taking taylor expansion of K in U
21.736 * [backup-simplify]: Simplify K into K
21.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.736 * [taylor]: Taking taylor expansion of J in U
21.736 * [backup-simplify]: Simplify J into J
21.736 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
21.736 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
21.736 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
21.736 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
21.736 * [taylor]: Taking taylor expansion of 1/64 in U
21.736 * [backup-simplify]: Simplify 1/64 into 1/64
21.736 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
21.736 * [taylor]: Taking taylor expansion of (pow U 6) in U
21.736 * [taylor]: Taking taylor expansion of U in U
21.736 * [backup-simplify]: Simplify 0 into 0
21.736 * [backup-simplify]: Simplify 1 into 1
21.736 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
21.736 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
21.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.736 * [taylor]: Taking taylor expansion of 1/2 in U
21.736 * [backup-simplify]: Simplify 1/2 into 1/2
21.736 * [taylor]: Taking taylor expansion of K in U
21.736 * [backup-simplify]: Simplify K into K
21.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.736 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.737 * [backup-simplify]: Simplify (- 0) into 0
21.737 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.737 * [taylor]: Taking taylor expansion of (pow J 6) in U
21.737 * [taylor]: Taking taylor expansion of J in U
21.737 * [backup-simplify]: Simplify J into J
21.737 * [backup-simplify]: Simplify (* 1 1) into 1
21.737 * [backup-simplify]: Simplify (* 1 1) into 1
21.738 * [backup-simplify]: Simplify (* 1 1) into 1
21.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
21.738 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
21.738 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.738 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.738 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.738 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
21.738 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
21.738 * [taylor]: Taking taylor expansion of 1 in U
21.738 * [backup-simplify]: Simplify 1 into 1
21.738 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
21.738 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
21.738 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
21.738 * [taylor]: Taking taylor expansion of 1/16 in U
21.738 * [backup-simplify]: Simplify 1/16 into 1/16
21.738 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
21.738 * [taylor]: Taking taylor expansion of (pow U 4) in U
21.738 * [taylor]: Taking taylor expansion of U in U
21.739 * [backup-simplify]: Simplify 0 into 0
21.739 * [backup-simplify]: Simplify 1 into 1
21.739 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
21.739 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
21.739 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.739 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.739 * [taylor]: Taking taylor expansion of 1/2 in U
21.739 * [backup-simplify]: Simplify 1/2 into 1/2
21.739 * [taylor]: Taking taylor expansion of K in U
21.739 * [backup-simplify]: Simplify K into K
21.739 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.739 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.739 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.739 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.739 * [backup-simplify]: Simplify (- 0) into 0
21.739 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.739 * [taylor]: Taking taylor expansion of (pow J 4) in U
21.739 * [taylor]: Taking taylor expansion of J in U
21.739 * [backup-simplify]: Simplify J into J
21.739 * [backup-simplify]: Simplify (* 1 1) into 1
21.740 * [backup-simplify]: Simplify (* 1 1) into 1
21.740 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.740 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
21.740 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.740 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.740 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
21.740 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
21.740 * [taylor]: Taking taylor expansion of 1 in U
21.740 * [backup-simplify]: Simplify 1 into 1
21.740 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
21.740 * [taylor]: Taking taylor expansion of 1/4 in U
21.740 * [backup-simplify]: Simplify 1/4 into 1/4
21.740 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
21.740 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.740 * [taylor]: Taking taylor expansion of U in U
21.740 * [backup-simplify]: Simplify 0 into 0
21.740 * [backup-simplify]: Simplify 1 into 1
21.740 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
21.741 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
21.741 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.741 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.741 * [taylor]: Taking taylor expansion of 1/2 in U
21.741 * [backup-simplify]: Simplify 1/2 into 1/2
21.741 * [taylor]: Taking taylor expansion of K in U
21.741 * [backup-simplify]: Simplify K into K
21.741 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.741 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.741 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.741 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.741 * [backup-simplify]: Simplify (- 0) into 0
21.741 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.741 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.741 * [taylor]: Taking taylor expansion of J in U
21.741 * [backup-simplify]: Simplify J into J
21.741 * [backup-simplify]: Simplify (* 1 1) into 1
21.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.742 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.742 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
21.742 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.742 * [backup-simplify]: Simplify (+ 0 1) into 1
21.742 * [backup-simplify]: Simplify (+ 0 1) into 1
21.743 * [backup-simplify]: Simplify (+ 1 0) into 1
21.743 * [backup-simplify]: Simplify (/ 1 1) into 1
21.743 * [backup-simplify]: Simplify (sqrt 1) into 1
21.744 * [backup-simplify]: Simplify (+ 0 0) into 0
21.744 * [backup-simplify]: Simplify (+ 0 0) into 0
21.744 * [backup-simplify]: Simplify (+ 0 0) into 0
21.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
21.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.745 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.745 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.745 * [backup-simplify]: Simplify (- 0) into 0
21.746 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.746 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
21.746 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
21.746 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
21.746 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
21.746 * [taylor]: Taking taylor expansion of -2 in J
21.746 * [backup-simplify]: Simplify -2 into -2
21.746 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
21.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.746 * [taylor]: Taking taylor expansion of 1/2 in J
21.746 * [backup-simplify]: Simplify 1/2 into 1/2
21.746 * [taylor]: Taking taylor expansion of K in J
21.746 * [backup-simplify]: Simplify K into K
21.746 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.746 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.746 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.746 * [taylor]: Taking taylor expansion of J in J
21.746 * [backup-simplify]: Simplify 0 into 0
21.746 * [backup-simplify]: Simplify 1 into 1
21.746 * [backup-simplify]: Simplify (+ 0) into 0
21.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.748 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.748 * [backup-simplify]: Simplify (- 0) into 0
21.748 * [backup-simplify]: Simplify (+ 0 0) into 0
21.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
21.749 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
21.749 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
21.749 * [taylor]: Taking taylor expansion of 0 in J
21.749 * [backup-simplify]: Simplify 0 into 0
21.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.749 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.749 * [backup-simplify]: Simplify (- 0) into 0
21.750 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.750 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
21.750 * [backup-simplify]: Simplify (* -2 0) into 0
21.750 * [taylor]: Taking taylor expansion of 0 in K
21.750 * [backup-simplify]: Simplify 0 into 0
21.750 * [backup-simplify]: Simplify 0 into 0
21.750 * [backup-simplify]: Simplify (+ 0 0) into 0
21.750 * [backup-simplify]: Simplify (+ 0 0) into 0
21.751 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.751 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
21.751 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
21.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (* 0 (/ 0 1)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
21.753 * [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)))
21.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.754 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
21.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.757 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.757 * [backup-simplify]: Simplify (- 0) into 0
21.757 * [backup-simplify]: Simplify (+ 0 0) into 0
21.757 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
21.758 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
21.759 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
21.759 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
21.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
21.759 * [taylor]: Taking taylor expansion of 1/4 in J
21.759 * [backup-simplify]: Simplify 1/4 into 1/4
21.759 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
21.759 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
21.759 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.759 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.759 * [taylor]: Taking taylor expansion of 1/2 in J
21.759 * [backup-simplify]: Simplify 1/2 into 1/2
21.759 * [taylor]: Taking taylor expansion of K in J
21.759 * [backup-simplify]: Simplify K into K
21.759 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.759 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.759 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.759 * [taylor]: Taking taylor expansion of J in J
21.759 * [backup-simplify]: Simplify 0 into 0
21.759 * [backup-simplify]: Simplify 1 into 1
21.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.759 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.759 * [backup-simplify]: Simplify (- 0) into 0
21.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
21.760 * [backup-simplify]: Simplify (+ 0) into 0
21.760 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.761 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.761 * [backup-simplify]: Simplify (- 0) into 0
21.762 * [backup-simplify]: Simplify (+ 0 0) into 0
21.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
21.762 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
21.762 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
21.762 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
21.762 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
21.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
21.762 * [taylor]: Taking taylor expansion of 1/4 in K
21.762 * [backup-simplify]: Simplify 1/4 into 1/4
21.762 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
21.762 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.762 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.762 * [taylor]: Taking taylor expansion of 1/2 in K
21.762 * [backup-simplify]: Simplify 1/2 into 1/2
21.762 * [taylor]: Taking taylor expansion of K in K
21.762 * [backup-simplify]: Simplify 0 into 0
21.762 * [backup-simplify]: Simplify 1 into 1
21.763 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.763 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.763 * [backup-simplify]: Simplify (/ 1 1) into 1
21.764 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
21.764 * [backup-simplify]: Simplify (- 1/4) into -1/4
21.764 * [backup-simplify]: Simplify -1/4 into -1/4
21.764 * [taylor]: Taking taylor expansion of 0 in K
21.764 * [backup-simplify]: Simplify 0 into 0
21.764 * [backup-simplify]: Simplify 0 into 0
21.764 * [backup-simplify]: Simplify (+ 0) into 0
21.765 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.766 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.766 * [backup-simplify]: Simplify (- 0) into 0
21.767 * [backup-simplify]: Simplify (+ 0 0) into 0
21.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
21.767 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
21.767 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
21.767 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
21.767 * [taylor]: Taking taylor expansion of 2 in K
21.768 * [backup-simplify]: Simplify 2 into 2
21.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.768 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.768 * [taylor]: Taking taylor expansion of 1/2 in K
21.768 * [backup-simplify]: Simplify 1/2 into 1/2
21.768 * [taylor]: Taking taylor expansion of K in K
21.768 * [backup-simplify]: Simplify 0 into 0
21.768 * [backup-simplify]: Simplify 1 into 1
21.768 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.768 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.769 * [backup-simplify]: Simplify (* 2 1) into 2
21.769 * [backup-simplify]: Simplify (- 2) into -2
21.769 * [backup-simplify]: Simplify -2 into -2
21.769 * [backup-simplify]: Simplify 0 into 0
21.769 * [backup-simplify]: Simplify (+ 0 0) into 0
21.770 * [backup-simplify]: Simplify (+ 0 0) into 0
21.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.770 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.771 * [backup-simplify]: Simplify (+ 0) into 0
21.771 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.772 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.772 * [backup-simplify]: Simplify (- 0) into 0
21.773 * [backup-simplify]: Simplify (+ 0 0) into 0
21.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
21.773 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
21.773 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
21.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
21.774 * [backup-simplify]: Simplify (- 0) into 0
21.774 * [backup-simplify]: Simplify (+ 0 0) into 0
21.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (* (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (/ 0 1)))) into 0
21.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
21.776 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
21.779 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.779 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.779 * [backup-simplify]: Simplify (- 0) into 0
21.780 * [backup-simplify]: Simplify (+ 0 0) into 0
21.781 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
21.781 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
21.782 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
21.782 * [taylor]: Taking taylor expansion of 0 in J
21.782 * [backup-simplify]: Simplify 0 into 0
21.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.783 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
21.784 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.785 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.785 * [backup-simplify]: Simplify (- 0) into 0
21.785 * [backup-simplify]: Simplify (+ 0 0) into 0
21.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
21.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
21.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
21.787 * [backup-simplify]: Simplify (- 0) into 0
21.787 * [taylor]: Taking taylor expansion of 0 in K
21.787 * [backup-simplify]: Simplify 0 into 0
21.787 * [backup-simplify]: Simplify 0 into 0
21.787 * [taylor]: Taking taylor expansion of 0 in K
21.787 * [backup-simplify]: Simplify 0 into 0
21.787 * [backup-simplify]: Simplify 0 into 0
21.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.789 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
21.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.791 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.791 * [backup-simplify]: Simplify (- 0) into 0
21.792 * [backup-simplify]: Simplify (+ 0 0) into 0
21.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
21.793 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
21.793 * [taylor]: Taking taylor expansion of 0 in K
21.793 * [backup-simplify]: Simplify 0 into 0
21.794 * [backup-simplify]: Simplify 0 into 0
21.794 * [backup-simplify]: Simplify (+ 0) into 0
21.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.795 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
21.796 * [backup-simplify]: Simplify (- 0) into 0
21.796 * [backup-simplify]: Simplify 0 into 0
21.796 * [backup-simplify]: Simplify 0 into 0
21.796 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
21.800 * [backup-simplify]: Simplify (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2)))) (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))))) (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) (sqrt (+ (* (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1))))) into (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))))
21.800 * [approximate]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in (U J K) around 0
21.800 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in K
21.801 * [taylor]: Taking taylor expansion of -2 in K
21.801 * [backup-simplify]: Simplify -2 into -2
21.801 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in K
21.801 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
21.801 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
21.801 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
21.801 * [taylor]: Taking taylor expansion of 1/2 in K
21.801 * [backup-simplify]: Simplify 1/2 into 1/2
21.801 * [taylor]: Taking taylor expansion of K in K
21.801 * [backup-simplify]: Simplify 0 into 0
21.801 * [backup-simplify]: Simplify 1 into 1
21.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
21.801 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.801 * [taylor]: Taking taylor expansion of J in K
21.801 * [backup-simplify]: Simplify J into J
21.802 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
21.802 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in K
21.802 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in K
21.802 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in K
21.802 * [taylor]: Taking taylor expansion of 1 in K
21.802 * [backup-simplify]: Simplify 1 into 1
21.802 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in K
21.802 * [taylor]: Taking taylor expansion of 1/64 in K
21.802 * [backup-simplify]: Simplify 1/64 into 1/64
21.802 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in K
21.802 * [taylor]: Taking taylor expansion of (pow J 6) in K
21.802 * [taylor]: Taking taylor expansion of J in K
21.802 * [backup-simplify]: Simplify J into J
21.802 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in K
21.802 * [taylor]: Taking taylor expansion of (pow U 6) in K
21.802 * [taylor]: Taking taylor expansion of U in K
21.802 * [backup-simplify]: Simplify U into U
21.802 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in K
21.802 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
21.802 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
21.802 * [taylor]: Taking taylor expansion of 1/2 in K
21.802 * [backup-simplify]: Simplify 1/2 into 1/2
21.802 * [taylor]: Taking taylor expansion of K in K
21.802 * [backup-simplify]: Simplify 0 into 0
21.802 * [backup-simplify]: Simplify 1 into 1
21.803 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
21.803 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.803 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.803 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.803 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.803 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.803 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
21.803 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
21.803 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
21.804 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
21.804 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
21.804 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
21.804 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
21.804 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
21.804 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
21.804 * [taylor]: Taking taylor expansion of 1/16 in K
21.804 * [backup-simplify]: Simplify 1/16 into 1/16
21.804 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
21.804 * [taylor]: Taking taylor expansion of (pow J 4) in K
21.804 * [taylor]: Taking taylor expansion of J in K
21.804 * [backup-simplify]: Simplify J into J
21.804 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
21.804 * [taylor]: Taking taylor expansion of (pow U 4) in K
21.804 * [taylor]: Taking taylor expansion of U in K
21.804 * [backup-simplify]: Simplify U into U
21.804 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
21.804 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
21.805 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
21.805 * [taylor]: Taking taylor expansion of 1/2 in K
21.805 * [backup-simplify]: Simplify 1/2 into 1/2
21.805 * [taylor]: Taking taylor expansion of K in K
21.805 * [backup-simplify]: Simplify 0 into 0
21.805 * [backup-simplify]: Simplify 1 into 1
21.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
21.805 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.805 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.805 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.805 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.806 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
21.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.806 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
21.806 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
21.806 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
21.806 * [taylor]: Taking taylor expansion of 1 in K
21.806 * [backup-simplify]: Simplify 1 into 1
21.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
21.806 * [taylor]: Taking taylor expansion of 1/4 in K
21.806 * [backup-simplify]: Simplify 1/4 into 1/4
21.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
21.806 * [taylor]: Taking taylor expansion of (pow J 2) in K
21.806 * [taylor]: Taking taylor expansion of J in K
21.806 * [backup-simplify]: Simplify J into J
21.806 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
21.807 * [taylor]: Taking taylor expansion of (pow U 2) in K
21.807 * [taylor]: Taking taylor expansion of U in K
21.807 * [backup-simplify]: Simplify U into U
21.807 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
21.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
21.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
21.807 * [taylor]: Taking taylor expansion of 1/2 in K
21.807 * [backup-simplify]: Simplify 1/2 into 1/2
21.807 * [taylor]: Taking taylor expansion of K in K
21.807 * [backup-simplify]: Simplify 0 into 0
21.807 * [backup-simplify]: Simplify 1 into 1
21.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
21.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.807 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.807 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.808 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
21.808 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
21.808 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))
21.809 * [backup-simplify]: Simplify (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))
21.809 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))
21.809 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1)
21.809 * [backup-simplify]: Simplify (* 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))))
21.809 * [backup-simplify]: Simplify (- (* 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)))))
21.810 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
21.810 * [backup-simplify]: Simplify (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
21.811 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) into (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))
21.811 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.811 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
21.811 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
21.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.812 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
21.812 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.812 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
21.812 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
21.812 * [backup-simplify]: Simplify (+ (* (pow U 6) 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
21.812 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (+ (* (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
21.813 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into 0
21.813 * [backup-simplify]: Simplify (+ 0 0) into 0
21.813 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.813 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
21.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.814 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.814 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.814 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
21.814 * [backup-simplify]: Simplify (+ (* (pow U 4) 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
21.814 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (+ (* (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
21.815 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))) into 0
21.815 * [backup-simplify]: Simplify (+ 0 0) into 0
21.815 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.815 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.815 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.816 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
21.816 * [backup-simplify]: Simplify (- 0) into 0
21.817 * [backup-simplify]: Simplify (+ 0 0) into 0
21.818 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) (+ (* (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) into 0
21.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) into 0
21.819 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in J
21.819 * [taylor]: Taking taylor expansion of -2 in J
21.819 * [backup-simplify]: Simplify -2 into -2
21.819 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in J
21.819 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
21.819 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.819 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.819 * [taylor]: Taking taylor expansion of 1/2 in J
21.819 * [backup-simplify]: Simplify 1/2 into 1/2
21.819 * [taylor]: Taking taylor expansion of K in J
21.819 * [backup-simplify]: Simplify K into K
21.819 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.819 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.819 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.819 * [taylor]: Taking taylor expansion of J in J
21.819 * [backup-simplify]: Simplify 0 into 0
21.819 * [backup-simplify]: Simplify 1 into 1
21.819 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.819 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.820 * [backup-simplify]: Simplify (- 0) into 0
21.820 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.820 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.820 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in J
21.820 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in J
21.820 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in J
21.820 * [taylor]: Taking taylor expansion of 1 in J
21.820 * [backup-simplify]: Simplify 1 into 1
21.820 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in J
21.820 * [taylor]: Taking taylor expansion of 1/64 in J
21.820 * [backup-simplify]: Simplify 1/64 into 1/64
21.820 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in J
21.820 * [taylor]: Taking taylor expansion of (pow J 6) in J
21.820 * [taylor]: Taking taylor expansion of J in J
21.820 * [backup-simplify]: Simplify 0 into 0
21.820 * [backup-simplify]: Simplify 1 into 1
21.820 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in J
21.820 * [taylor]: Taking taylor expansion of (pow U 6) in J
21.820 * [taylor]: Taking taylor expansion of U in J
21.820 * [backup-simplify]: Simplify U into U
21.820 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in J
21.820 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.820 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.820 * [taylor]: Taking taylor expansion of 1/2 in J
21.820 * [backup-simplify]: Simplify 1/2 into 1/2
21.820 * [taylor]: Taking taylor expansion of K in J
21.820 * [backup-simplify]: Simplify K into K
21.820 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.821 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.821 * [backup-simplify]: Simplify (- 0) into 0
21.821 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.821 * [backup-simplify]: Simplify (* 1 1) into 1
21.822 * [backup-simplify]: Simplify (* 1 1) into 1
21.822 * [backup-simplify]: Simplify (* 1 1) into 1
21.822 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.822 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
21.822 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
21.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
21.822 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
21.823 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
21.823 * [backup-simplify]: Simplify (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
21.823 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
21.823 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
21.823 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
21.823 * [taylor]: Taking taylor expansion of 1/16 in J
21.823 * [backup-simplify]: Simplify 1/16 into 1/16
21.823 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
21.823 * [taylor]: Taking taylor expansion of (pow J 4) in J
21.823 * [taylor]: Taking taylor expansion of J in J
21.823 * [backup-simplify]: Simplify 0 into 0
21.823 * [backup-simplify]: Simplify 1 into 1
21.823 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
21.823 * [taylor]: Taking taylor expansion of (pow U 4) in J
21.823 * [taylor]: Taking taylor expansion of U in J
21.823 * [backup-simplify]: Simplify U into U
21.823 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
21.823 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.823 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.823 * [taylor]: Taking taylor expansion of 1/2 in J
21.823 * [backup-simplify]: Simplify 1/2 into 1/2
21.823 * [taylor]: Taking taylor expansion of K in J
21.823 * [backup-simplify]: Simplify K into K
21.823 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.823 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.823 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.823 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.823 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.824 * [backup-simplify]: Simplify (- 0) into 0
21.824 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.824 * [backup-simplify]: Simplify (* 1 1) into 1
21.824 * [backup-simplify]: Simplify (* 1 1) into 1
21.824 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.824 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
21.824 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.825 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
21.825 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
21.825 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
21.825 * [taylor]: Taking taylor expansion of 1 in J
21.825 * [backup-simplify]: Simplify 1 into 1
21.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
21.825 * [taylor]: Taking taylor expansion of 1/4 in J
21.825 * [backup-simplify]: Simplify 1/4 into 1/4
21.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
21.825 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.825 * [taylor]: Taking taylor expansion of J in J
21.825 * [backup-simplify]: Simplify 0 into 0
21.825 * [backup-simplify]: Simplify 1 into 1
21.825 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
21.825 * [taylor]: Taking taylor expansion of (pow U 2) in J
21.825 * [taylor]: Taking taylor expansion of U in J
21.825 * [backup-simplify]: Simplify U into U
21.825 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
21.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.825 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.825 * [taylor]: Taking taylor expansion of 1/2 in J
21.825 * [backup-simplify]: Simplify 1/2 into 1/2
21.825 * [taylor]: Taking taylor expansion of K in J
21.825 * [backup-simplify]: Simplify K into K
21.825 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.825 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.825 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.825 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.825 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.826 * [backup-simplify]: Simplify (- 0) into 0
21.826 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.826 * [backup-simplify]: Simplify (* 1 1) into 1
21.826 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.826 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.826 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
21.826 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
21.827 * [backup-simplify]: Simplify (+ 1 0) into 1
21.827 * [backup-simplify]: Simplify (+ 0 1) into 1
21.827 * [backup-simplify]: Simplify (+ 1 0) into 1
21.827 * [backup-simplify]: Simplify (/ 1 1) into 1
21.828 * [backup-simplify]: Simplify (sqrt 1) into 1
21.828 * [backup-simplify]: Simplify (+ 0 0) into 0
21.828 * [backup-simplify]: Simplify (+ 0 0) into 0
21.829 * [backup-simplify]: Simplify (+ 0 0) into 0
21.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
21.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.833 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in U
21.833 * [taylor]: Taking taylor expansion of -2 in U
21.833 * [backup-simplify]: Simplify -2 into -2
21.833 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
21.833 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
21.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.833 * [taylor]: Taking taylor expansion of 1/2 in U
21.833 * [backup-simplify]: Simplify 1/2 into 1/2
21.833 * [taylor]: Taking taylor expansion of K in U
21.833 * [backup-simplify]: Simplify K into K
21.834 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.834 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.834 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.834 * [taylor]: Taking taylor expansion of J in U
21.834 * [backup-simplify]: Simplify J into J
21.834 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.834 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.834 * [backup-simplify]: Simplify (- 0) into 0
21.834 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.834 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
21.834 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
21.834 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
21.834 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
21.834 * [taylor]: Taking taylor expansion of 1 in U
21.834 * [backup-simplify]: Simplify 1 into 1
21.834 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
21.834 * [taylor]: Taking taylor expansion of 1/64 in U
21.834 * [backup-simplify]: Simplify 1/64 into 1/64
21.834 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
21.834 * [taylor]: Taking taylor expansion of (pow J 6) in U
21.834 * [taylor]: Taking taylor expansion of J in U
21.834 * [backup-simplify]: Simplify J into J
21.834 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
21.834 * [taylor]: Taking taylor expansion of (pow U 6) in U
21.834 * [taylor]: Taking taylor expansion of U in U
21.835 * [backup-simplify]: Simplify 0 into 0
21.835 * [backup-simplify]: Simplify 1 into 1
21.835 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
21.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.835 * [taylor]: Taking taylor expansion of 1/2 in U
21.835 * [backup-simplify]: Simplify 1/2 into 1/2
21.835 * [taylor]: Taking taylor expansion of K in U
21.835 * [backup-simplify]: Simplify K into K
21.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.835 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.835 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.835 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.835 * [backup-simplify]: Simplify (- 0) into 0
21.835 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.835 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.835 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.835 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.836 * [backup-simplify]: Simplify (* 1 1) into 1
21.836 * [backup-simplify]: Simplify (* 1 1) into 1
21.837 * [backup-simplify]: Simplify (* 1 1) into 1
21.837 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.837 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
21.837 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
21.837 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
21.837 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
21.837 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
21.837 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
21.837 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
21.837 * [taylor]: Taking taylor expansion of 1/16 in U
21.837 * [backup-simplify]: Simplify 1/16 into 1/16
21.837 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
21.837 * [taylor]: Taking taylor expansion of (pow J 4) in U
21.837 * [taylor]: Taking taylor expansion of J in U
21.837 * [backup-simplify]: Simplify J into J
21.837 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
21.837 * [taylor]: Taking taylor expansion of (pow U 4) in U
21.837 * [taylor]: Taking taylor expansion of U in U
21.837 * [backup-simplify]: Simplify 0 into 0
21.837 * [backup-simplify]: Simplify 1 into 1
21.837 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
21.837 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.837 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.837 * [taylor]: Taking taylor expansion of 1/2 in U
21.837 * [backup-simplify]: Simplify 1/2 into 1/2
21.837 * [taylor]: Taking taylor expansion of K in U
21.837 * [backup-simplify]: Simplify K into K
21.837 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.838 * [backup-simplify]: Simplify (- 0) into 0
21.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.838 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.838 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.838 * [backup-simplify]: Simplify (* 1 1) into 1
21.839 * [backup-simplify]: Simplify (* 1 1) into 1
21.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.839 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
21.839 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
21.839 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
21.839 * [taylor]: Taking taylor expansion of 1 in U
21.839 * [backup-simplify]: Simplify 1 into 1
21.839 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
21.839 * [taylor]: Taking taylor expansion of 1/4 in U
21.839 * [backup-simplify]: Simplify 1/4 into 1/4
21.839 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
21.839 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.839 * [taylor]: Taking taylor expansion of J in U
21.839 * [backup-simplify]: Simplify J into J
21.839 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
21.839 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.839 * [taylor]: Taking taylor expansion of U in U
21.839 * [backup-simplify]: Simplify 0 into 0
21.839 * [backup-simplify]: Simplify 1 into 1
21.839 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
21.839 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.839 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.839 * [taylor]: Taking taylor expansion of 1/2 in U
21.839 * [backup-simplify]: Simplify 1/2 into 1/2
21.839 * [taylor]: Taking taylor expansion of K in U
21.839 * [backup-simplify]: Simplify K into K
21.839 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.839 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.840 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.840 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.840 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.840 * [backup-simplify]: Simplify (- 0) into 0
21.840 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.840 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.840 * [backup-simplify]: Simplify (* 1 1) into 1
21.840 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.840 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
21.841 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
21.841 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
21.841 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
21.841 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
21.841 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
21.841 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
21.841 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.842 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
21.842 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.842 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
21.842 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
21.842 * [backup-simplify]: Simplify (+ 0) into 0
21.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.844 * [backup-simplify]: Simplify (- 0) into 0
21.844 * [backup-simplify]: Simplify (+ 0 0) into 0
21.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.844 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
21.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
21.846 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
21.846 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
21.847 * [backup-simplify]: Simplify (+ 0 0) into 0
21.847 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.847 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
21.847 * [backup-simplify]: Simplify (+ 0) into 0
21.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.848 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.849 * [backup-simplify]: Simplify (- 0) into 0
21.849 * [backup-simplify]: Simplify (+ 0 0) into 0
21.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.849 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
21.852 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
21.852 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
21.853 * [backup-simplify]: Simplify (+ 0 0) into 0
21.853 * [backup-simplify]: Simplify (+ 0 0) into 0
21.854 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
21.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.854 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in U
21.854 * [taylor]: Taking taylor expansion of -2 in U
21.854 * [backup-simplify]: Simplify -2 into -2
21.854 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
21.854 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
21.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.854 * [taylor]: Taking taylor expansion of 1/2 in U
21.854 * [backup-simplify]: Simplify 1/2 into 1/2
21.854 * [taylor]: Taking taylor expansion of K in U
21.855 * [backup-simplify]: Simplify K into K
21.855 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.855 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.855 * [taylor]: Taking taylor expansion of J in U
21.855 * [backup-simplify]: Simplify J into J
21.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.855 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.855 * [backup-simplify]: Simplify (- 0) into 0
21.855 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.856 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
21.856 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
21.856 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
21.856 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
21.856 * [taylor]: Taking taylor expansion of 1 in U
21.856 * [backup-simplify]: Simplify 1 into 1
21.856 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
21.856 * [taylor]: Taking taylor expansion of 1/64 in U
21.856 * [backup-simplify]: Simplify 1/64 into 1/64
21.856 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
21.856 * [taylor]: Taking taylor expansion of (pow J 6) in U
21.856 * [taylor]: Taking taylor expansion of J in U
21.856 * [backup-simplify]: Simplify J into J
21.856 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
21.856 * [taylor]: Taking taylor expansion of (pow U 6) in U
21.856 * [taylor]: Taking taylor expansion of U in U
21.856 * [backup-simplify]: Simplify 0 into 0
21.856 * [backup-simplify]: Simplify 1 into 1
21.856 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
21.856 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.856 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.856 * [taylor]: Taking taylor expansion of 1/2 in U
21.856 * [backup-simplify]: Simplify 1/2 into 1/2
21.856 * [taylor]: Taking taylor expansion of K in U
21.856 * [backup-simplify]: Simplify K into K
21.856 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.857 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.857 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.857 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.857 * [backup-simplify]: Simplify (- 0) into 0
21.857 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.857 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.857 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.858 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.858 * [backup-simplify]: Simplify (* 1 1) into 1
21.858 * [backup-simplify]: Simplify (* 1 1) into 1
21.859 * [backup-simplify]: Simplify (* 1 1) into 1
21.859 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.859 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
21.859 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
21.859 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
21.860 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
21.860 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
21.860 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
21.860 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
21.860 * [taylor]: Taking taylor expansion of 1/16 in U
21.860 * [backup-simplify]: Simplify 1/16 into 1/16
21.860 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
21.860 * [taylor]: Taking taylor expansion of (pow J 4) in U
21.860 * [taylor]: Taking taylor expansion of J in U
21.860 * [backup-simplify]: Simplify J into J
21.860 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
21.860 * [taylor]: Taking taylor expansion of (pow U 4) in U
21.860 * [taylor]: Taking taylor expansion of U in U
21.860 * [backup-simplify]: Simplify 0 into 0
21.860 * [backup-simplify]: Simplify 1 into 1
21.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
21.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.860 * [taylor]: Taking taylor expansion of 1/2 in U
21.860 * [backup-simplify]: Simplify 1/2 into 1/2
21.860 * [taylor]: Taking taylor expansion of K in U
21.860 * [backup-simplify]: Simplify K into K
21.860 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.860 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.860 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.860 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.861 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.861 * [backup-simplify]: Simplify (- 0) into 0
21.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.861 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.861 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.862 * [backup-simplify]: Simplify (* 1 1) into 1
21.862 * [backup-simplify]: Simplify (* 1 1) into 1
21.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.862 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
21.863 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
21.863 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
21.863 * [taylor]: Taking taylor expansion of 1 in U
21.863 * [backup-simplify]: Simplify 1 into 1
21.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
21.863 * [taylor]: Taking taylor expansion of 1/4 in U
21.863 * [backup-simplify]: Simplify 1/4 into 1/4
21.863 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
21.863 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.863 * [taylor]: Taking taylor expansion of J in U
21.863 * [backup-simplify]: Simplify J into J
21.863 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
21.863 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.863 * [taylor]: Taking taylor expansion of U in U
21.863 * [backup-simplify]: Simplify 0 into 0
21.863 * [backup-simplify]: Simplify 1 into 1
21.863 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
21.863 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.863 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.863 * [taylor]: Taking taylor expansion of 1/2 in U
21.863 * [backup-simplify]: Simplify 1/2 into 1/2
21.863 * [taylor]: Taking taylor expansion of K in U
21.863 * [backup-simplify]: Simplify K into K
21.863 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.863 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.864 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.864 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.864 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.864 * [backup-simplify]: Simplify (- 0) into 0
21.864 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.864 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.865 * [backup-simplify]: Simplify (* 1 1) into 1
21.865 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.865 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
21.865 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
21.865 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
21.865 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
21.865 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
21.866 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
21.866 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
21.866 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.866 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
21.866 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.866 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
21.866 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
21.866 * [backup-simplify]: Simplify (+ 0) into 0
21.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.868 * [backup-simplify]: Simplify (- 0) into 0
21.868 * [backup-simplify]: Simplify (+ 0 0) into 0
21.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.869 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
21.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
21.870 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
21.871 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
21.871 * [backup-simplify]: Simplify (+ 0 0) into 0
21.871 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.871 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
21.871 * [backup-simplify]: Simplify (+ 0) into 0
21.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.873 * [backup-simplify]: Simplify (- 0) into 0
21.873 * [backup-simplify]: Simplify (+ 0 0) into 0
21.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.873 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
21.875 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
21.875 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
21.875 * [backup-simplify]: Simplify (+ 0 0) into 0
21.876 * [backup-simplify]: Simplify (+ 0 0) into 0
21.876 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
21.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.876 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) (* 1/2 (/ J (cos (/ 1/2 K))))) into 1/2
21.877 * [backup-simplify]: Simplify (* -2 1/2) into -1
21.877 * [taylor]: Taking taylor expansion of -1 in J
21.877 * [backup-simplify]: Simplify -1 into -1
21.877 * [backup-simplify]: Simplify (+ 0) into 0
21.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.878 * [backup-simplify]: Simplify (- 0) into 0
21.879 * [backup-simplify]: Simplify (+ 0 0) into 0
21.879 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
21.879 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
21.879 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
21.879 * [taylor]: Taking taylor expansion of 0 in J
21.879 * [backup-simplify]: Simplify 0 into 0
21.879 * [taylor]: Taking taylor expansion of -1 in K
21.879 * [backup-simplify]: Simplify -1 into -1
21.879 * [backup-simplify]: Simplify -1 into -1
21.880 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
21.880 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
21.880 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
21.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.883 * [backup-simplify]: Simplify (- 0) into 0
21.883 * [backup-simplify]: Simplify (+ 0 0) into 0
21.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
21.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
21.885 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3)))) into 0
21.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6)))) into 0
21.887 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
21.888 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))))) into 0
21.888 * [backup-simplify]: Simplify (+ 0 0) into 0
21.889 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
21.889 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
21.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.892 * [backup-simplify]: Simplify (- 0) into 0
21.892 * [backup-simplify]: Simplify (+ 0 0) into 0
21.892 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
21.893 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
21.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
21.895 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
21.895 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
21.896 * [backup-simplify]: Simplify (+ 0 0) into 0
21.896 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.896 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
21.896 * [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))))
21.897 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 0 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 1
21.897 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
21.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.899 * [backup-simplify]: Simplify (- 0) into 0
21.900 * [backup-simplify]: Simplify (+ 0 0) into 0
21.900 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
21.900 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
21.901 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
21.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
21.901 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
21.901 * [taylor]: Taking taylor expansion of 2 in J
21.901 * [backup-simplify]: Simplify 2 into 2
21.901 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
21.901 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
21.901 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.901 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.901 * [taylor]: Taking taylor expansion of 1/2 in J
21.901 * [backup-simplify]: Simplify 1/2 into 1/2
21.901 * [taylor]: Taking taylor expansion of K in J
21.901 * [backup-simplify]: Simplify K into K
21.901 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.901 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.901 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.901 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.901 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.902 * [backup-simplify]: Simplify (- 0) into 0
21.902 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.902 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.902 * [taylor]: Taking taylor expansion of J in J
21.902 * [backup-simplify]: Simplify 0 into 0
21.902 * [backup-simplify]: Simplify 1 into 1
21.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.902 * [backup-simplify]: Simplify (* 1 1) into 1
21.902 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
21.902 * [backup-simplify]: Simplify (+ 0) into 0
21.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.904 * [backup-simplify]: Simplify (- 0) into 0
21.904 * [backup-simplify]: Simplify (+ 0 0) into 0
21.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
21.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.906 * [backup-simplify]: Simplify (- 0) into 0
21.906 * [taylor]: Taking taylor expansion of 0 in K
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [taylor]: Taking taylor expansion of 0 in K
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [taylor]: Taking taylor expansion of 0 in K
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [backup-simplify]: Simplify 0 into 0
21.907 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
21.907 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
21.908 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
21.908 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.912 * [backup-simplify]: Simplify (- 0) into 0
21.912 * [backup-simplify]: Simplify (+ 0 0) into 0
21.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
21.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.915 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3))))) into 0
21.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6))))) into 0
21.919 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
21.919 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
21.920 * [backup-simplify]: Simplify (+ 0 0) into 0
21.920 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
21.921 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
21.921 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.924 * [backup-simplify]: Simplify (- 0) into 0
21.924 * [backup-simplify]: Simplify (+ 0 0) into 0
21.924 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
21.925 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4))))) into 0
21.927 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
21.928 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
21.929 * [backup-simplify]: Simplify (+ 0 0) into 0
21.929 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.929 * [backup-simplify]: Simplify (+ 0) into 0
21.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.930 * [backup-simplify]: Simplify (- 0) into 0
21.931 * [backup-simplify]: Simplify (+ 0 0) into 0
21.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.932 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
21.932 * [backup-simplify]: Simplify (- 0) into 0
21.933 * [backup-simplify]: Simplify (+ 0 0) into 0
21.933 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 0 (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 1 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
21.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
21.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.940 * [backup-simplify]: Simplify (- 0) into 0
21.940 * [backup-simplify]: Simplify (+ 0 0) into 0
21.940 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
21.941 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (+ (* 0 (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
21.942 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
21.942 * [taylor]: Taking taylor expansion of 0 in J
21.942 * [backup-simplify]: Simplify 0 into 0
21.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.944 * [backup-simplify]: Simplify (- 0) into 0
21.944 * [backup-simplify]: Simplify (+ 0 0) into 0
21.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
21.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
21.948 * [backup-simplify]: Simplify (- 0) into 0
21.948 * [taylor]: Taking taylor expansion of 0 in K
21.948 * [backup-simplify]: Simplify 0 into 0
21.948 * [backup-simplify]: Simplify 0 into 0
21.949 * [taylor]: Taking taylor expansion of 0 in K
21.949 * [backup-simplify]: Simplify 0 into 0
21.949 * [backup-simplify]: Simplify 0 into 0
21.949 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
21.953 * [backup-simplify]: Simplify (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) (sqrt (+ (* (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))
21.953 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in (U J K) around 0
21.953 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in K
21.953 * [taylor]: Taking taylor expansion of 2 in K
21.953 * [backup-simplify]: Simplify 2 into 2
21.953 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
21.953 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
21.953 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
21.953 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
21.953 * [taylor]: Taking taylor expansion of -1/2 in K
21.953 * [backup-simplify]: Simplify -1/2 into -1/2
21.953 * [taylor]: Taking taylor expansion of K in K
21.954 * [backup-simplify]: Simplify 0 into 0
21.954 * [backup-simplify]: Simplify 1 into 1
21.954 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
21.954 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.954 * [taylor]: Taking taylor expansion of J in K
21.954 * [backup-simplify]: Simplify J into J
21.954 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
21.954 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
21.954 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
21.954 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in K
21.954 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in K
21.954 * [taylor]: Taking taylor expansion of 1/64 in K
21.954 * [backup-simplify]: Simplify 1/64 into 1/64
21.954 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in K
21.955 * [taylor]: Taking taylor expansion of (pow J 6) in K
21.955 * [taylor]: Taking taylor expansion of J in K
21.955 * [backup-simplify]: Simplify J into J
21.955 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in K
21.955 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in K
21.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
21.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
21.955 * [taylor]: Taking taylor expansion of -1/2 in K
21.955 * [backup-simplify]: Simplify -1/2 into -1/2
21.955 * [taylor]: Taking taylor expansion of K in K
21.955 * [backup-simplify]: Simplify 0 into 0
21.955 * [backup-simplify]: Simplify 1 into 1
21.955 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
21.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.955 * [taylor]: Taking taylor expansion of (pow U 6) in K
21.955 * [taylor]: Taking taylor expansion of U in K
21.955 * [backup-simplify]: Simplify U into U
21.956 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.956 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
21.956 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
21.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
21.956 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
21.956 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.956 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
21.956 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
21.957 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
21.957 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
21.957 * [taylor]: Taking taylor expansion of 1 in K
21.957 * [backup-simplify]: Simplify 1 into 1
21.957 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
21.957 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
21.957 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
21.957 * [taylor]: Taking taylor expansion of 1/16 in K
21.957 * [backup-simplify]: Simplify 1/16 into 1/16
21.957 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
21.957 * [taylor]: Taking taylor expansion of (pow J 4) in K
21.957 * [taylor]: Taking taylor expansion of J in K
21.957 * [backup-simplify]: Simplify J into J
21.957 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
21.957 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
21.957 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
21.957 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
21.957 * [taylor]: Taking taylor expansion of -1/2 in K
21.957 * [backup-simplify]: Simplify -1/2 into -1/2
21.958 * [taylor]: Taking taylor expansion of K in K
21.958 * [backup-simplify]: Simplify 0 into 0
21.958 * [backup-simplify]: Simplify 1 into 1
21.958 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
21.959 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.959 * [taylor]: Taking taylor expansion of (pow U 4) in K
21.959 * [taylor]: Taking taylor expansion of U in K
21.959 * [backup-simplify]: Simplify U into U
21.959 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.959 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
21.959 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.959 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
21.959 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.960 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
21.960 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
21.960 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
21.960 * [taylor]: Taking taylor expansion of 1 in K
21.960 * [backup-simplify]: Simplify 1 into 1
21.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
21.960 * [taylor]: Taking taylor expansion of 1/4 in K
21.960 * [backup-simplify]: Simplify 1/4 into 1/4
21.960 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
21.960 * [taylor]: Taking taylor expansion of (pow J 2) in K
21.960 * [taylor]: Taking taylor expansion of J in K
21.960 * [backup-simplify]: Simplify J into J
21.960 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
21.960 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
21.960 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
21.960 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
21.961 * [taylor]: Taking taylor expansion of -1/2 in K
21.961 * [backup-simplify]: Simplify -1/2 into -1/2
21.961 * [taylor]: Taking taylor expansion of K in K
21.961 * [backup-simplify]: Simplify 0 into 0
21.961 * [backup-simplify]: Simplify 1 into 1
21.961 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
21.961 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.961 * [taylor]: Taking taylor expansion of (pow U 2) in K
21.961 * [taylor]: Taking taylor expansion of U in K
21.961 * [backup-simplify]: Simplify U into U
21.961 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.962 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.962 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.962 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
21.962 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
21.962 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) into (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))
21.963 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) into (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)
21.963 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) into (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))
21.963 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1)
21.964 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
21.964 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
21.965 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
21.966 * [backup-simplify]: Simplify (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
21.967 * [backup-simplify]: Simplify (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))
21.967 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.967 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
21.967 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
21.967 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.967 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
21.968 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
21.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
21.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
21.968 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
21.968 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 (pow U 6))) into 0
21.969 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (+ (* (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))))) into 0
21.970 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))) into 0
21.970 * [backup-simplify]: Simplify (+ 0 0) into 0
21.971 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.971 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
21.971 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.971 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
21.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
21.971 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
21.971 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 (pow U 4))) into 0
21.972 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (+ (* (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))) into 0
21.973 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))) into 0
21.973 * [backup-simplify]: Simplify (+ 0 0) into 0
21.973 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.973 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
21.974 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
21.974 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
21.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
21.975 * [backup-simplify]: Simplify (- 0) into 0
21.976 * [backup-simplify]: Simplify (+ 0 0) into 0
21.979 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) (+ (* (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0
21.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0
21.980 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in J
21.980 * [taylor]: Taking taylor expansion of 2 in J
21.980 * [backup-simplify]: Simplify 2 into 2
21.980 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
21.980 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
21.980 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.980 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.980 * [taylor]: Taking taylor expansion of -1/2 in J
21.980 * [backup-simplify]: Simplify -1/2 into -1/2
21.980 * [taylor]: Taking taylor expansion of K in J
21.980 * [backup-simplify]: Simplify K into K
21.981 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.981 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.981 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.981 * [taylor]: Taking taylor expansion of J in J
21.981 * [backup-simplify]: Simplify 0 into 0
21.981 * [backup-simplify]: Simplify 1 into 1
21.981 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.981 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.982 * [backup-simplify]: Simplify (- 0) into 0
21.982 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.982 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.982 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
21.982 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
21.982 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in J
21.982 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in J
21.982 * [taylor]: Taking taylor expansion of 1/64 in J
21.982 * [backup-simplify]: Simplify 1/64 into 1/64
21.982 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in J
21.982 * [taylor]: Taking taylor expansion of (pow J 6) in J
21.982 * [taylor]: Taking taylor expansion of J in J
21.982 * [backup-simplify]: Simplify 0 into 0
21.982 * [backup-simplify]: Simplify 1 into 1
21.982 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in J
21.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in J
21.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.982 * [taylor]: Taking taylor expansion of -1/2 in J
21.982 * [backup-simplify]: Simplify -1/2 into -1/2
21.982 * [taylor]: Taking taylor expansion of K in J
21.982 * [backup-simplify]: Simplify K into K
21.982 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.982 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.983 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.983 * [backup-simplify]: Simplify (- 0) into 0
21.983 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.983 * [taylor]: Taking taylor expansion of (pow U 6) in J
21.983 * [taylor]: Taking taylor expansion of U in J
21.983 * [backup-simplify]: Simplify U into U
21.984 * [backup-simplify]: Simplify (* 1 1) into 1
21.984 * [backup-simplify]: Simplify (* 1 1) into 1
21.985 * [backup-simplify]: Simplify (* 1 1) into 1
21.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
21.985 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
21.985 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.985 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
21.985 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
21.985 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
21.986 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
21.986 * [taylor]: Taking taylor expansion of 1 in J
21.986 * [backup-simplify]: Simplify 1 into 1
21.986 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
21.986 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
21.986 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
21.986 * [taylor]: Taking taylor expansion of 1/16 in J
21.986 * [backup-simplify]: Simplify 1/16 into 1/16
21.986 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
21.986 * [taylor]: Taking taylor expansion of (pow J 4) in J
21.986 * [taylor]: Taking taylor expansion of J in J
21.986 * [backup-simplify]: Simplify 0 into 0
21.986 * [backup-simplify]: Simplify 1 into 1
21.986 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
21.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
21.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.986 * [taylor]: Taking taylor expansion of -1/2 in J
21.986 * [backup-simplify]: Simplify -1/2 into -1/2
21.986 * [taylor]: Taking taylor expansion of K in J
21.986 * [backup-simplify]: Simplify K into K
21.986 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.987 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.987 * [backup-simplify]: Simplify (- 0) into 0
21.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.987 * [taylor]: Taking taylor expansion of (pow U 4) in J
21.987 * [taylor]: Taking taylor expansion of U in J
21.987 * [backup-simplify]: Simplify U into U
21.988 * [backup-simplify]: Simplify (* 1 1) into 1
21.988 * [backup-simplify]: Simplify (* 1 1) into 1
21.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.988 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
21.989 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.989 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
21.989 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
21.989 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
21.989 * [taylor]: Taking taylor expansion of 1 in J
21.989 * [backup-simplify]: Simplify 1 into 1
21.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
21.989 * [taylor]: Taking taylor expansion of 1/4 in J
21.989 * [backup-simplify]: Simplify 1/4 into 1/4
21.989 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
21.989 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.989 * [taylor]: Taking taylor expansion of J in J
21.989 * [backup-simplify]: Simplify 0 into 0
21.989 * [backup-simplify]: Simplify 1 into 1
21.989 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
21.989 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
21.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.989 * [taylor]: Taking taylor expansion of -1/2 in J
21.990 * [backup-simplify]: Simplify -1/2 into -1/2
21.990 * [taylor]: Taking taylor expansion of K in J
21.990 * [backup-simplify]: Simplify K into K
21.990 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.990 * [backup-simplify]: Simplify (- 0) into 0
21.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.991 * [taylor]: Taking taylor expansion of (pow U 2) in J
21.991 * [taylor]: Taking taylor expansion of U in J
21.991 * [backup-simplify]: Simplify U into U
21.991 * [backup-simplify]: Simplify (* 1 1) into 1
21.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.991 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.991 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
21.992 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
21.992 * [backup-simplify]: Simplify (+ 0 1) into 1
21.993 * [backup-simplify]: Simplify (+ 0 1) into 1
21.993 * [backup-simplify]: Simplify (+ 1 0) into 1
21.994 * [backup-simplify]: Simplify (/ 1 1) into 1
21.994 * [backup-simplify]: Simplify (sqrt 1) into 1
21.995 * [backup-simplify]: Simplify (+ 0 0) into 0
21.995 * [backup-simplify]: Simplify (+ 0 0) into 0
21.995 * [backup-simplify]: Simplify (+ 0 0) into 0
21.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
21.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.997 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U
21.997 * [taylor]: Taking taylor expansion of 2 in U
21.997 * [backup-simplify]: Simplify 2 into 2
21.997 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
21.997 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
21.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
21.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
21.997 * [taylor]: Taking taylor expansion of -1/2 in U
21.997 * [backup-simplify]: Simplify -1/2 into -1/2
21.997 * [taylor]: Taking taylor expansion of K in U
21.997 * [backup-simplify]: Simplify K into K
21.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.997 * [taylor]: Taking taylor expansion of J in U
21.997 * [backup-simplify]: Simplify J into J
21.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.998 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.998 * [backup-simplify]: Simplify (- 0) into 0
21.998 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.998 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
21.998 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
21.998 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
21.998 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
21.998 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
21.998 * [taylor]: Taking taylor expansion of 1/64 in U
21.998 * [backup-simplify]: Simplify 1/64 into 1/64
21.999 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
21.999 * [taylor]: Taking taylor expansion of (pow J 6) in U
21.999 * [taylor]: Taking taylor expansion of J in U
21.999 * [backup-simplify]: Simplify J into J
21.999 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
21.999 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
21.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
21.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
21.999 * [taylor]: Taking taylor expansion of -1/2 in U
21.999 * [backup-simplify]: Simplify -1/2 into -1/2
21.999 * [taylor]: Taking taylor expansion of K in U
21.999 * [backup-simplify]: Simplify K into K
21.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.999 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.000 * [backup-simplify]: Simplify (- 0) into 0
22.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.000 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.000 * [taylor]: Taking taylor expansion of U in U
22.000 * [backup-simplify]: Simplify 0 into 0
22.000 * [backup-simplify]: Simplify 1 into 1
22.000 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.000 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.000 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.001 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
22.001 * [backup-simplify]: Simplify (* 1 1) into 1
22.001 * [backup-simplify]: Simplify (* 1 1) into 1
22.002 * [backup-simplify]: Simplify (* 1 1) into 1
22.002 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
22.002 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
22.002 * [taylor]: Taking taylor expansion of 1 in U
22.002 * [backup-simplify]: Simplify 1 into 1
22.002 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
22.002 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
22.002 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
22.002 * [taylor]: Taking taylor expansion of 1/16 in U
22.002 * [backup-simplify]: Simplify 1/16 into 1/16
22.002 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
22.002 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.002 * [taylor]: Taking taylor expansion of J in U
22.002 * [backup-simplify]: Simplify J into J
22.002 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
22.002 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
22.002 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.002 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.002 * [taylor]: Taking taylor expansion of -1/2 in U
22.003 * [backup-simplify]: Simplify -1/2 into -1/2
22.003 * [taylor]: Taking taylor expansion of K in U
22.003 * [backup-simplify]: Simplify K into K
22.003 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.003 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.003 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.003 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.003 * [backup-simplify]: Simplify (- 0) into 0
22.003 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.003 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.004 * [taylor]: Taking taylor expansion of U in U
22.004 * [backup-simplify]: Simplify 0 into 0
22.004 * [backup-simplify]: Simplify 1 into 1
22.004 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.004 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.004 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.004 * [backup-simplify]: Simplify (* 1 1) into 1
22.005 * [backup-simplify]: Simplify (* 1 1) into 1
22.005 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
22.005 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
22.005 * [taylor]: Taking taylor expansion of 1 in U
22.005 * [backup-simplify]: Simplify 1 into 1
22.005 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
22.005 * [taylor]: Taking taylor expansion of 1/4 in U
22.005 * [backup-simplify]: Simplify 1/4 into 1/4
22.005 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
22.006 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.006 * [taylor]: Taking taylor expansion of J in U
22.006 * [backup-simplify]: Simplify J into J
22.006 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
22.006 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
22.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.006 * [taylor]: Taking taylor expansion of -1/2 in U
22.006 * [backup-simplify]: Simplify -1/2 into -1/2
22.006 * [taylor]: Taking taylor expansion of K in U
22.006 * [backup-simplify]: Simplify K into K
22.006 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.006 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.006 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.007 * [backup-simplify]: Simplify (- 0) into 0
22.007 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.007 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.007 * [taylor]: Taking taylor expansion of U in U
22.007 * [backup-simplify]: Simplify 0 into 0
22.007 * [backup-simplify]: Simplify 1 into 1
22.007 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.008 * [backup-simplify]: Simplify (* 1 1) into 1
22.008 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.008 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
22.008 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.008 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.009 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.009 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.009 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.009 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.010 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
22.010 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.010 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.010 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.012 * [backup-simplify]: Simplify (+ 0) into 0
22.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.015 * [backup-simplify]: Simplify (- 0) into 0
22.015 * [backup-simplify]: Simplify (+ 0 0) into 0
22.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.016 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
22.016 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
22.017 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.017 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
22.018 * [backup-simplify]: Simplify (+ 0 0) into 0
22.018 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.018 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.020 * [backup-simplify]: Simplify (+ 0) into 0
22.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.022 * [backup-simplify]: Simplify (- 0) into 0
22.023 * [backup-simplify]: Simplify (+ 0 0) into 0
22.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.023 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.024 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
22.024 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.025 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
22.025 * [backup-simplify]: Simplify (+ 0 0) into 0
22.026 * [backup-simplify]: Simplify (+ 0 0) into 0
22.026 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
22.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
22.027 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U
22.027 * [taylor]: Taking taylor expansion of 2 in U
22.027 * [backup-simplify]: Simplify 2 into 2
22.027 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
22.027 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
22.027 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.027 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.027 * [taylor]: Taking taylor expansion of -1/2 in U
22.027 * [backup-simplify]: Simplify -1/2 into -1/2
22.027 * [taylor]: Taking taylor expansion of K in U
22.027 * [backup-simplify]: Simplify K into K
22.027 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.027 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.027 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.027 * [taylor]: Taking taylor expansion of J in U
22.027 * [backup-simplify]: Simplify J into J
22.028 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.028 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.028 * [backup-simplify]: Simplify (- 0) into 0
22.028 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.028 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
22.029 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
22.029 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
22.029 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
22.029 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
22.029 * [taylor]: Taking taylor expansion of 1/64 in U
22.029 * [backup-simplify]: Simplify 1/64 into 1/64
22.029 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
22.029 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.029 * [taylor]: Taking taylor expansion of J in U
22.029 * [backup-simplify]: Simplify J into J
22.029 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
22.029 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
22.029 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.029 * [taylor]: Taking taylor expansion of -1/2 in U
22.029 * [backup-simplify]: Simplify -1/2 into -1/2
22.029 * [taylor]: Taking taylor expansion of K in U
22.029 * [backup-simplify]: Simplify K into K
22.029 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.029 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.029 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.029 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.030 * [backup-simplify]: Simplify (- 0) into 0
22.030 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.030 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.030 * [taylor]: Taking taylor expansion of U in U
22.030 * [backup-simplify]: Simplify 0 into 0
22.030 * [backup-simplify]: Simplify 1 into 1
22.030 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.030 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.030 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.031 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
22.031 * [backup-simplify]: Simplify (* 1 1) into 1
22.032 * [backup-simplify]: Simplify (* 1 1) into 1
22.032 * [backup-simplify]: Simplify (* 1 1) into 1
22.032 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
22.033 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
22.033 * [taylor]: Taking taylor expansion of 1 in U
22.033 * [backup-simplify]: Simplify 1 into 1
22.033 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
22.033 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
22.033 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
22.033 * [taylor]: Taking taylor expansion of 1/16 in U
22.033 * [backup-simplify]: Simplify 1/16 into 1/16
22.033 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
22.033 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.033 * [taylor]: Taking taylor expansion of J in U
22.033 * [backup-simplify]: Simplify J into J
22.033 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
22.033 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
22.033 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.033 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.033 * [taylor]: Taking taylor expansion of -1/2 in U
22.033 * [backup-simplify]: Simplify -1/2 into -1/2
22.033 * [taylor]: Taking taylor expansion of K in U
22.033 * [backup-simplify]: Simplify K into K
22.033 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.033 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.033 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.033 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.034 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.034 * [backup-simplify]: Simplify (- 0) into 0
22.034 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.034 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.034 * [taylor]: Taking taylor expansion of U in U
22.034 * [backup-simplify]: Simplify 0 into 0
22.034 * [backup-simplify]: Simplify 1 into 1
22.034 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.035 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.035 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.035 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.035 * [backup-simplify]: Simplify (* 1 1) into 1
22.036 * [backup-simplify]: Simplify (* 1 1) into 1
22.036 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
22.036 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
22.036 * [taylor]: Taking taylor expansion of 1 in U
22.036 * [backup-simplify]: Simplify 1 into 1
22.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
22.036 * [taylor]: Taking taylor expansion of 1/4 in U
22.036 * [backup-simplify]: Simplify 1/4 into 1/4
22.036 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
22.036 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.036 * [taylor]: Taking taylor expansion of J in U
22.036 * [backup-simplify]: Simplify J into J
22.036 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
22.036 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
22.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.036 * [taylor]: Taking taylor expansion of -1/2 in U
22.036 * [backup-simplify]: Simplify -1/2 into -1/2
22.036 * [taylor]: Taking taylor expansion of K in U
22.037 * [backup-simplify]: Simplify K into K
22.037 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.037 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.037 * [backup-simplify]: Simplify (- 0) into 0
22.037 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.038 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.038 * [taylor]: Taking taylor expansion of U in U
22.038 * [backup-simplify]: Simplify 0 into 0
22.038 * [backup-simplify]: Simplify 1 into 1
22.038 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.038 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.038 * [backup-simplify]: Simplify (* 1 1) into 1
22.038 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.039 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
22.039 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.039 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.039 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.040 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.040 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.040 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.040 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
22.041 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.041 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.041 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.044 * [backup-simplify]: Simplify (+ 0) into 0
22.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.045 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.047 * [backup-simplify]: Simplify (- 0) into 0
22.047 * [backup-simplify]: Simplify (+ 0 0) into 0
22.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.048 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
22.048 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
22.049 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.049 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
22.050 * [backup-simplify]: Simplify (+ 0 0) into 0
22.050 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.050 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.052 * [backup-simplify]: Simplify (+ 0) into 0
22.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.054 * [backup-simplify]: Simplify (- 0) into 0
22.054 * [backup-simplify]: Simplify (+ 0 0) into 0
22.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.055 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.055 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
22.056 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.056 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
22.057 * [backup-simplify]: Simplify (+ 0 0) into 0
22.057 * [backup-simplify]: Simplify (+ 0 0) into 0
22.058 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
22.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
22.058 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
22.059 * [backup-simplify]: Simplify (* 2 1/2) into 1
22.059 * [taylor]: Taking taylor expansion of 1 in J
22.059 * [backup-simplify]: Simplify 1 into 1
22.059 * [backup-simplify]: Simplify (+ 0) into 0
22.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.061 * [backup-simplify]: Simplify (- 0) into 0
22.062 * [backup-simplify]: Simplify (+ 0 0) into 0
22.062 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
22.062 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
22.063 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
22.063 * [taylor]: Taking taylor expansion of 0 in J
22.063 * [backup-simplify]: Simplify 0 into 0
22.063 * [taylor]: Taking taylor expansion of 1 in K
22.063 * [backup-simplify]: Simplify 1 into 1
22.063 * [backup-simplify]: Simplify 1 into 1
22.064 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.064 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.065 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
22.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.070 * [backup-simplify]: Simplify (- 0) into 0
22.070 * [backup-simplify]: Simplify (+ 0 0) into 0
22.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
22.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
22.071 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3)))) into 0
22.072 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (* 0 1))) into 0
22.072 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.073 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))))) into 0
22.073 * [backup-simplify]: Simplify (+ 0 0) into 0
22.073 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.074 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.076 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.077 * [backup-simplify]: Simplify (- 0) into 0
22.077 * [backup-simplify]: Simplify (+ 0 0) into 0
22.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
22.078 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
22.079 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
22.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.079 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
22.080 * [backup-simplify]: Simplify (+ 0 0) into 0
22.080 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.080 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
22.080 * [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))))
22.081 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 0 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 1
22.081 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
22.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.087 * [backup-simplify]: Simplify (- 0) into 0
22.087 * [backup-simplify]: Simplify (+ 0 0) into 0
22.087 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
22.088 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
22.088 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
22.088 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
22.088 * [taylor]: Taking taylor expansion of 2 in J
22.088 * [backup-simplify]: Simplify 2 into 2
22.089 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
22.089 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
22.089 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.089 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.089 * [taylor]: Taking taylor expansion of -1/2 in J
22.089 * [backup-simplify]: Simplify -1/2 into -1/2
22.089 * [taylor]: Taking taylor expansion of K in J
22.089 * [backup-simplify]: Simplify K into K
22.089 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.089 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.089 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.089 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.089 * [backup-simplify]: Simplify (- 0) into 0
22.089 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.089 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.089 * [taylor]: Taking taylor expansion of J in J
22.089 * [backup-simplify]: Simplify 0 into 0
22.089 * [backup-simplify]: Simplify 1 into 1
22.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.090 * [backup-simplify]: Simplify (* 1 1) into 1
22.090 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.090 * [backup-simplify]: Simplify (+ 0) into 0
22.090 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.091 * [backup-simplify]: Simplify (- 0) into 0
22.092 * [backup-simplify]: Simplify (+ 0 0) into 0
22.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
22.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.093 * [taylor]: Taking taylor expansion of 0 in K
22.093 * [backup-simplify]: Simplify 0 into 0
22.093 * [backup-simplify]: Simplify 0 into 0
22.093 * [taylor]: Taking taylor expansion of 0 in K
22.093 * [backup-simplify]: Simplify 0 into 0
22.093 * [backup-simplify]: Simplify 0 into 0
22.093 * [taylor]: Taking taylor expansion of 0 in K
22.093 * [backup-simplify]: Simplify 0 into 0
22.093 * [backup-simplify]: Simplify 0 into 0
22.093 * [backup-simplify]: Simplify 0 into 0
22.094 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.094 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.095 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
22.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.098 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.103 * [backup-simplify]: Simplify (- 0) into 0
22.104 * [backup-simplify]: Simplify (+ 0 0) into 0
22.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
22.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.107 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3))))) into 0
22.108 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.108 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.110 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
22.110 * [backup-simplify]: Simplify (+ 0 0) into 0
22.111 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.112 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.116 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.119 * [backup-simplify]: Simplify (- 0) into 0
22.120 * [backup-simplify]: Simplify (+ 0 0) into 0
22.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
22.122 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.123 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.123 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.125 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
22.125 * [backup-simplify]: Simplify (+ 0 0) into 0
22.125 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.126 * [backup-simplify]: Simplify (+ 0) into 0
22.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.127 * [backup-simplify]: Simplify (- 0) into 0
22.127 * [backup-simplify]: Simplify (+ 0 0) into 0
22.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.128 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
22.128 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
22.129 * [backup-simplify]: Simplify (- 0) into 0
22.129 * [backup-simplify]: Simplify (+ 0 0) into 0
22.130 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 0 (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 1 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
22.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
22.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.131 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.133 * [backup-simplify]: Simplify (- 0) into 0
22.133 * [backup-simplify]: Simplify (+ 0 0) into 0
22.133 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
22.134 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
22.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
22.134 * [taylor]: Taking taylor expansion of 0 in J
22.134 * [backup-simplify]: Simplify 0 into 0
22.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.137 * [backup-simplify]: Simplify (- 0) into 0
22.137 * [backup-simplify]: Simplify (+ 0 0) into 0
22.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
22.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
22.139 * [taylor]: Taking taylor expansion of 0 in K
22.139 * [backup-simplify]: Simplify 0 into 0
22.139 * [backup-simplify]: Simplify 0 into 0
22.139 * [taylor]: Taking taylor expansion of 0 in K
22.139 * [backup-simplify]: Simplify 0 into 0
22.140 * [backup-simplify]: Simplify 0 into 0
22.140 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
22.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
22.141 * [backup-simplify]: Simplify (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) into (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
22.141 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in (U J K) around 0
22.141 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
22.141 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
22.141 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
22.141 * [taylor]: Taking taylor expansion of 1/16 in K
22.141 * [backup-simplify]: Simplify 1/16 into 1/16
22.141 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
22.141 * [taylor]: Taking taylor expansion of (pow U 4) in K
22.141 * [taylor]: Taking taylor expansion of U in K
22.141 * [backup-simplify]: Simplify U into U
22.141 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
22.141 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
22.141 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.141 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.141 * [taylor]: Taking taylor expansion of 1/2 in K
22.141 * [backup-simplify]: Simplify 1/2 into 1/2
22.141 * [taylor]: Taking taylor expansion of K in K
22.141 * [backup-simplify]: Simplify 0 into 0
22.141 * [backup-simplify]: Simplify 1 into 1
22.141 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.142 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.142 * [taylor]: Taking taylor expansion of (pow J 4) in K
22.142 * [taylor]: Taking taylor expansion of J in K
22.142 * [backup-simplify]: Simplify J into J
22.142 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.142 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.142 * [backup-simplify]: Simplify (* 1 1) into 1
22.142 * [backup-simplify]: Simplify (* 1 1) into 1
22.143 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.143 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.143 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
22.143 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
22.143 * [taylor]: Taking taylor expansion of 1 in K
22.143 * [backup-simplify]: Simplify 1 into 1
22.143 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
22.143 * [taylor]: Taking taylor expansion of 1/4 in K
22.143 * [backup-simplify]: Simplify 1/4 into 1/4
22.143 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
22.143 * [taylor]: Taking taylor expansion of (pow U 2) in K
22.143 * [taylor]: Taking taylor expansion of U in K
22.143 * [backup-simplify]: Simplify U into U
22.143 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
22.143 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
22.143 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.143 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.143 * [taylor]: Taking taylor expansion of 1/2 in K
22.143 * [backup-simplify]: Simplify 1/2 into 1/2
22.143 * [taylor]: Taking taylor expansion of K in K
22.143 * [backup-simplify]: Simplify 0 into 0
22.143 * [backup-simplify]: Simplify 1 into 1
22.143 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.144 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.144 * [taylor]: Taking taylor expansion of (pow J 2) in K
22.144 * [taylor]: Taking taylor expansion of J in K
22.144 * [backup-simplify]: Simplify J into J
22.144 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.144 * [backup-simplify]: Simplify (* 1 1) into 1
22.144 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.144 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
22.144 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
22.144 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
22.144 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
22.144 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
22.144 * [taylor]: Taking taylor expansion of 1/16 in J
22.144 * [backup-simplify]: Simplify 1/16 into 1/16
22.144 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
22.144 * [taylor]: Taking taylor expansion of (pow U 4) in J
22.144 * [taylor]: Taking taylor expansion of U in J
22.144 * [backup-simplify]: Simplify U into U
22.144 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
22.144 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
22.145 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.145 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.145 * [taylor]: Taking taylor expansion of 1/2 in J
22.145 * [backup-simplify]: Simplify 1/2 into 1/2
22.145 * [taylor]: Taking taylor expansion of K in J
22.145 * [backup-simplify]: Simplify K into K
22.145 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.145 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.145 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.145 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.145 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.145 * [backup-simplify]: Simplify (- 0) into 0
22.145 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.145 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.145 * [taylor]: Taking taylor expansion of J in J
22.145 * [backup-simplify]: Simplify 0 into 0
22.145 * [backup-simplify]: Simplify 1 into 1
22.145 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.145 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.145 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.145 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.146 * [backup-simplify]: Simplify (* 1 1) into 1
22.146 * [backup-simplify]: Simplify (* 1 1) into 1
22.146 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
22.146 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
22.146 * [taylor]: Taking taylor expansion of 1 in J
22.146 * [backup-simplify]: Simplify 1 into 1
22.146 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
22.146 * [taylor]: Taking taylor expansion of 1/4 in J
22.146 * [backup-simplify]: Simplify 1/4 into 1/4
22.146 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
22.146 * [taylor]: Taking taylor expansion of (pow U 2) in J
22.146 * [taylor]: Taking taylor expansion of U in J
22.146 * [backup-simplify]: Simplify U into U
22.146 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
22.146 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
22.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.146 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.146 * [taylor]: Taking taylor expansion of 1/2 in J
22.146 * [backup-simplify]: Simplify 1/2 into 1/2
22.147 * [taylor]: Taking taylor expansion of K in J
22.147 * [backup-simplify]: Simplify K into K
22.147 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.147 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.147 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.147 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.147 * [backup-simplify]: Simplify (- 0) into 0
22.147 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.147 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.147 * [taylor]: Taking taylor expansion of J in J
22.147 * [backup-simplify]: Simplify 0 into 0
22.147 * [backup-simplify]: Simplify 1 into 1
22.147 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.148 * [backup-simplify]: Simplify (* 1 1) into 1
22.148 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
22.148 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
22.148 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
22.148 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
22.148 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
22.148 * [taylor]: Taking taylor expansion of 1/16 in U
22.148 * [backup-simplify]: Simplify 1/16 into 1/16
22.148 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
22.148 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.148 * [taylor]: Taking taylor expansion of U in U
22.148 * [backup-simplify]: Simplify 0 into 0
22.148 * [backup-simplify]: Simplify 1 into 1
22.148 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
22.148 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
22.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.148 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.148 * [taylor]: Taking taylor expansion of 1/2 in U
22.148 * [backup-simplify]: Simplify 1/2 into 1/2
22.148 * [taylor]: Taking taylor expansion of K in U
22.148 * [backup-simplify]: Simplify K into K
22.148 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.148 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.148 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.148 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.148 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.148 * [backup-simplify]: Simplify (- 0) into 0
22.149 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.149 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.149 * [taylor]: Taking taylor expansion of J in U
22.149 * [backup-simplify]: Simplify J into J
22.149 * [backup-simplify]: Simplify (* 1 1) into 1
22.149 * [backup-simplify]: Simplify (* 1 1) into 1
22.149 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.149 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.149 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.149 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.150 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
22.150 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.150 * [taylor]: Taking taylor expansion of 1 in U
22.150 * [backup-simplify]: Simplify 1 into 1
22.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
22.150 * [taylor]: Taking taylor expansion of 1/4 in U
22.150 * [backup-simplify]: Simplify 1/4 into 1/4
22.150 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
22.150 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.150 * [taylor]: Taking taylor expansion of U in U
22.150 * [backup-simplify]: Simplify 0 into 0
22.150 * [backup-simplify]: Simplify 1 into 1
22.150 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
22.150 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
22.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.150 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.150 * [taylor]: Taking taylor expansion of 1/2 in U
22.150 * [backup-simplify]: Simplify 1/2 into 1/2
22.150 * [taylor]: Taking taylor expansion of K in U
22.150 * [backup-simplify]: Simplify K into K
22.150 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.150 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.150 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.150 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.150 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.150 * [backup-simplify]: Simplify (- 0) into 0
22.151 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.151 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.151 * [taylor]: Taking taylor expansion of J in U
22.151 * [backup-simplify]: Simplify J into J
22.151 * [backup-simplify]: Simplify (* 1 1) into 1
22.151 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.151 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.151 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
22.151 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
22.151 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
22.151 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
22.151 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
22.151 * [taylor]: Taking taylor expansion of 1/16 in U
22.151 * [backup-simplify]: Simplify 1/16 into 1/16
22.151 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
22.151 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.151 * [taylor]: Taking taylor expansion of U in U
22.151 * [backup-simplify]: Simplify 0 into 0
22.151 * [backup-simplify]: Simplify 1 into 1
22.151 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
22.151 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
22.151 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.151 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.152 * [taylor]: Taking taylor expansion of 1/2 in U
22.152 * [backup-simplify]: Simplify 1/2 into 1/2
22.152 * [taylor]: Taking taylor expansion of K in U
22.152 * [backup-simplify]: Simplify K into K
22.152 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.152 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.152 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.152 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.152 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.152 * [backup-simplify]: Simplify (- 0) into 0
22.152 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.152 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.152 * [taylor]: Taking taylor expansion of J in U
22.152 * [backup-simplify]: Simplify J into J
22.152 * [backup-simplify]: Simplify (* 1 1) into 1
22.153 * [backup-simplify]: Simplify (* 1 1) into 1
22.153 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.153 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.153 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.153 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.153 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
22.153 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.153 * [taylor]: Taking taylor expansion of 1 in U
22.153 * [backup-simplify]: Simplify 1 into 1
22.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
22.153 * [taylor]: Taking taylor expansion of 1/4 in U
22.153 * [backup-simplify]: Simplify 1/4 into 1/4
22.153 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
22.153 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.153 * [taylor]: Taking taylor expansion of U in U
22.153 * [backup-simplify]: Simplify 0 into 0
22.153 * [backup-simplify]: Simplify 1 into 1
22.153 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
22.154 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
22.154 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.154 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.154 * [taylor]: Taking taylor expansion of 1/2 in U
22.154 * [backup-simplify]: Simplify 1/2 into 1/2
22.154 * [taylor]: Taking taylor expansion of K in U
22.154 * [backup-simplify]: Simplify K into K
22.154 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.154 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.154 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.154 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.154 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.154 * [backup-simplify]: Simplify (- 0) into 0
22.155 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.155 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.155 * [taylor]: Taking taylor expansion of J in U
22.155 * [backup-simplify]: Simplify J into J
22.155 * [backup-simplify]: Simplify (* 1 1) into 1
22.155 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.155 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.155 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
22.155 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
22.156 * [backup-simplify]: Simplify (+ 0 1) into 1
22.156 * [backup-simplify]: Simplify (+ 1 0) into 1
22.156 * [taylor]: Taking taylor expansion of 1 in J
22.156 * [backup-simplify]: Simplify 1 into 1
22.156 * [backup-simplify]: Simplify (+ 0 0) into 0
22.156 * [backup-simplify]: Simplify (+ 0 0) into 0
22.156 * [taylor]: Taking taylor expansion of 0 in J
22.156 * [backup-simplify]: Simplify 0 into 0
22.157 * [backup-simplify]: Simplify (+ 0 0) into 0
22.157 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
22.157 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
22.157 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
22.157 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
22.157 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
22.157 * [taylor]: Taking taylor expansion of 1/4 in J
22.157 * [backup-simplify]: Simplify 1/4 into 1/4
22.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
22.157 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
22.157 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
22.157 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.157 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.157 * [taylor]: Taking taylor expansion of 1/2 in J
22.157 * [backup-simplify]: Simplify 1/2 into 1/2
22.157 * [taylor]: Taking taylor expansion of K in J
22.157 * [backup-simplify]: Simplify K into K
22.157 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.157 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.158 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.158 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.158 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.158 * [backup-simplify]: Simplify (- 0) into 0
22.158 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.158 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.158 * [taylor]: Taking taylor expansion of J in J
22.158 * [backup-simplify]: Simplify 0 into 0
22.158 * [backup-simplify]: Simplify 1 into 1
22.158 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.158 * [backup-simplify]: Simplify (* 1 1) into 1
22.158 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
22.159 * [backup-simplify]: Simplify (/ 1 (pow (cos (* 1/2 K)) 2)) into (/ 1 (pow (cos (* 1/2 K)) 2))
22.159 * [backup-simplify]: Simplify (+ 0 0) into 0
22.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.159 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.160 * [backup-simplify]: Simplify (+ 0) into 0
22.160 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
22.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
22.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.161 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
22.161 * [backup-simplify]: Simplify (- 0) into 0
22.162 * [backup-simplify]: Simplify (+ 0 0) into 0
22.162 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
22.162 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
22.162 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
22.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
22.163 * [backup-simplify]: Simplify (- 0) into 0
22.163 * [backup-simplify]: Simplify (+ 0 0) into 0
22.163 * [taylor]: Taking taylor expansion of 0 in J
22.163 * [backup-simplify]: Simplify 0 into 0
22.163 * [backup-simplify]: Simplify (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.164 * [backup-simplify]: Simplify (+ (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
22.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.164 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.166 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
22.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.168 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.169 * [backup-simplify]: Simplify (- 0) into 0
22.169 * [backup-simplify]: Simplify (+ 0 0) into 0
22.169 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
22.170 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.171 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
22.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
22.172 * [backup-simplify]: Simplify (- 0) into 0
22.173 * [backup-simplify]: Simplify (+ (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
22.173 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
22.173 * [taylor]: Taking taylor expansion of 1/16 in J
22.173 * [backup-simplify]: Simplify 1/16 into 1/16
22.173 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
22.173 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
22.173 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
22.173 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.173 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.173 * [taylor]: Taking taylor expansion of 1/2 in J
22.173 * [backup-simplify]: Simplify 1/2 into 1/2
22.173 * [taylor]: Taking taylor expansion of K in J
22.173 * [backup-simplify]: Simplify K into K
22.173 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.173 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.173 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.173 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.173 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.174 * [backup-simplify]: Simplify (- 0) into 0
22.174 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.174 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.174 * [taylor]: Taking taylor expansion of J in J
22.174 * [backup-simplify]: Simplify 0 into 0
22.174 * [backup-simplify]: Simplify 1 into 1
22.174 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.174 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.175 * [backup-simplify]: Simplify (* 1 1) into 1
22.175 * [backup-simplify]: Simplify (* 1 1) into 1
22.175 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
22.175 * [backup-simplify]: Simplify (/ 1 (pow (cos (* 1/2 K)) 4)) into (/ 1 (pow (cos (* 1/2 K)) 4))
22.175 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow (cos (* 1/2 K)) 4))) into (/ 1/16 (pow (cos (* 1/2 K)) 4))
22.175 * [taylor]: Taking taylor expansion of (/ 1/16 (pow (cos (* 1/2 K)) 4)) in K
22.175 * [taylor]: Taking taylor expansion of 1/16 in K
22.175 * [backup-simplify]: Simplify 1/16 into 1/16
22.176 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
22.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.176 * [taylor]: Taking taylor expansion of 1/2 in K
22.176 * [backup-simplify]: Simplify 1/2 into 1/2
22.176 * [taylor]: Taking taylor expansion of K in K
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [backup-simplify]: Simplify 1 into 1
22.176 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.177 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.177 * [backup-simplify]: Simplify (* 1 1) into 1
22.178 * [backup-simplify]: Simplify (* 1 1) into 1
22.178 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16
22.178 * [backup-simplify]: Simplify 1/16 into 1/16
22.178 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (* 1/2 K)) 2))) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
22.179 * [backup-simplify]: Simplify (- (/ 1/4 (pow (cos (* 1/2 K)) 2))) into (- (* 1/4 (/ 1 (pow (cos (* 1/2 K)) 2))))
22.179 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (pow (cos (* 1/2 K)) 2)))) in K
22.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (cos (* 1/2 K)) 2))) in K
22.179 * [taylor]: Taking taylor expansion of 1/4 in K
22.179 * [backup-simplify]: Simplify 1/4 into 1/4
22.179 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (* 1/2 K)) 2)) in K
22.179 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
22.179 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.179 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.179 * [taylor]: Taking taylor expansion of 1/2 in K
22.179 * [backup-simplify]: Simplify 1/2 into 1/2
22.179 * [taylor]: Taking taylor expansion of K in K
22.179 * [backup-simplify]: Simplify 0 into 0
22.179 * [backup-simplify]: Simplify 1 into 1
22.179 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.180 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.180 * [backup-simplify]: Simplify (* 1 1) into 1
22.181 * [backup-simplify]: Simplify (/ 1 1) into 1
22.181 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
22.181 * [backup-simplify]: Simplify (- 1/4) into -1/4
22.182 * [backup-simplify]: Simplify -1/4 into -1/4
22.182 * [taylor]: Taking taylor expansion of 1 in K
22.182 * [backup-simplify]: Simplify 1 into 1
22.182 * [backup-simplify]: Simplify 1 into 1
22.182 * [backup-simplify]: Simplify (+ 1 (+ (* -1/4 (pow (* 1 (* (/ 1 J) U)) 2)) (* 1/16 (pow (* 1 (* (/ 1 J) U)) 4)))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
22.184 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
22.184 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in (U J K) around 0
22.184 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
22.184 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
22.184 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
22.184 * [taylor]: Taking taylor expansion of 1/16 in K
22.184 * [backup-simplify]: Simplify 1/16 into 1/16
22.184 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
22.184 * [taylor]: Taking taylor expansion of (pow J 4) in K
22.184 * [taylor]: Taking taylor expansion of J in K
22.185 * [backup-simplify]: Simplify J into J
22.185 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
22.185 * [taylor]: Taking taylor expansion of (pow U 4) in K
22.185 * [taylor]: Taking taylor expansion of U in K
22.185 * [backup-simplify]: Simplify U into U
22.185 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
22.185 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
22.185 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
22.185 * [taylor]: Taking taylor expansion of 1/2 in K
22.185 * [backup-simplify]: Simplify 1/2 into 1/2
22.185 * [taylor]: Taking taylor expansion of K in K
22.185 * [backup-simplify]: Simplify 0 into 0
22.185 * [backup-simplify]: Simplify 1 into 1
22.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
22.185 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.185 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.186 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.186 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.186 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.186 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.186 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.186 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
22.186 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
22.186 * [taylor]: Taking taylor expansion of 1 in K
22.186 * [backup-simplify]: Simplify 1 into 1
22.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
22.186 * [taylor]: Taking taylor expansion of 1/4 in K
22.187 * [backup-simplify]: Simplify 1/4 into 1/4
22.187 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
22.187 * [taylor]: Taking taylor expansion of (pow J 2) in K
22.187 * [taylor]: Taking taylor expansion of J in K
22.187 * [backup-simplify]: Simplify J into J
22.187 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
22.187 * [taylor]: Taking taylor expansion of (pow U 2) in K
22.187 * [taylor]: Taking taylor expansion of U in K
22.187 * [backup-simplify]: Simplify U into U
22.187 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
22.187 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
22.187 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
22.187 * [taylor]: Taking taylor expansion of 1/2 in K
22.187 * [backup-simplify]: Simplify 1/2 into 1/2
22.187 * [taylor]: Taking taylor expansion of K in K
22.187 * [backup-simplify]: Simplify 0 into 0
22.187 * [backup-simplify]: Simplify 1 into 1
22.187 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
22.187 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.188 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.188 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.188 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.188 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
22.188 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
22.188 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
22.188 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
22.188 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
22.188 * [taylor]: Taking taylor expansion of 1/16 in J
22.188 * [backup-simplify]: Simplify 1/16 into 1/16
22.188 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
22.188 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.188 * [taylor]: Taking taylor expansion of J in J
22.188 * [backup-simplify]: Simplify 0 into 0
22.188 * [backup-simplify]: Simplify 1 into 1
22.188 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
22.188 * [taylor]: Taking taylor expansion of (pow U 4) in J
22.188 * [taylor]: Taking taylor expansion of U in J
22.188 * [backup-simplify]: Simplify U into U
22.188 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
22.188 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.189 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.189 * [taylor]: Taking taylor expansion of 1/2 in J
22.189 * [backup-simplify]: Simplify 1/2 into 1/2
22.189 * [taylor]: Taking taylor expansion of K in J
22.189 * [backup-simplify]: Simplify K into K
22.189 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.189 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.189 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.189 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.189 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.189 * [backup-simplify]: Simplify (- 0) into 0
22.189 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.190 * [backup-simplify]: Simplify (* 1 1) into 1
22.190 * [backup-simplify]: Simplify (* 1 1) into 1
22.190 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.190 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.191 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.191 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
22.191 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
22.191 * [taylor]: Taking taylor expansion of 1 in J
22.191 * [backup-simplify]: Simplify 1 into 1
22.191 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
22.191 * [taylor]: Taking taylor expansion of 1/4 in J
22.191 * [backup-simplify]: Simplify 1/4 into 1/4
22.191 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
22.191 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.191 * [taylor]: Taking taylor expansion of J in J
22.191 * [backup-simplify]: Simplify 0 into 0
22.191 * [backup-simplify]: Simplify 1 into 1
22.191 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
22.191 * [taylor]: Taking taylor expansion of (pow U 2) in J
22.191 * [taylor]: Taking taylor expansion of U in J
22.191 * [backup-simplify]: Simplify U into U
22.191 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
22.191 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.191 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.191 * [taylor]: Taking taylor expansion of 1/2 in J
22.191 * [backup-simplify]: Simplify 1/2 into 1/2
22.191 * [taylor]: Taking taylor expansion of K in J
22.191 * [backup-simplify]: Simplify K into K
22.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.192 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.192 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.192 * [backup-simplify]: Simplify (- 0) into 0
22.192 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.193 * [backup-simplify]: Simplify (* 1 1) into 1
22.193 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.193 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.193 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
22.193 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
22.193 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
22.193 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
22.193 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
22.193 * [taylor]: Taking taylor expansion of 1/16 in U
22.193 * [backup-simplify]: Simplify 1/16 into 1/16
22.193 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
22.194 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.194 * [taylor]: Taking taylor expansion of J in U
22.194 * [backup-simplify]: Simplify J into J
22.194 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
22.194 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.194 * [taylor]: Taking taylor expansion of U in U
22.194 * [backup-simplify]: Simplify 0 into 0
22.194 * [backup-simplify]: Simplify 1 into 1
22.194 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
22.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.194 * [taylor]: Taking taylor expansion of 1/2 in U
22.194 * [backup-simplify]: Simplify 1/2 into 1/2
22.194 * [taylor]: Taking taylor expansion of K in U
22.194 * [backup-simplify]: Simplify K into K
22.194 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.194 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.194 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.194 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.194 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.195 * [backup-simplify]: Simplify (- 0) into 0
22.195 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.195 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.195 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.195 * [backup-simplify]: Simplify (* 1 1) into 1
22.196 * [backup-simplify]: Simplify (* 1 1) into 1
22.196 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.196 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.196 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
22.196 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
22.196 * [taylor]: Taking taylor expansion of 1 in U
22.196 * [backup-simplify]: Simplify 1 into 1
22.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
22.196 * [taylor]: Taking taylor expansion of 1/4 in U
22.196 * [backup-simplify]: Simplify 1/4 into 1/4
22.196 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
22.196 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.197 * [taylor]: Taking taylor expansion of J in U
22.197 * [backup-simplify]: Simplify J into J
22.197 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
22.197 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.197 * [taylor]: Taking taylor expansion of U in U
22.197 * [backup-simplify]: Simplify 0 into 0
22.197 * [backup-simplify]: Simplify 1 into 1
22.197 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
22.197 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.197 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.197 * [taylor]: Taking taylor expansion of 1/2 in U
22.197 * [backup-simplify]: Simplify 1/2 into 1/2
22.197 * [taylor]: Taking taylor expansion of K in U
22.197 * [backup-simplify]: Simplify K into K
22.197 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.197 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.197 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.197 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.197 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.198 * [backup-simplify]: Simplify (- 0) into 0
22.198 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.198 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.198 * [backup-simplify]: Simplify (* 1 1) into 1
22.198 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.198 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
22.198 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
22.199 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
22.199 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
22.199 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
22.199 * [taylor]: Taking taylor expansion of 1/16 in U
22.199 * [backup-simplify]: Simplify 1/16 into 1/16
22.199 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
22.199 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.199 * [taylor]: Taking taylor expansion of J in U
22.199 * [backup-simplify]: Simplify J into J
22.199 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
22.199 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.199 * [taylor]: Taking taylor expansion of U in U
22.199 * [backup-simplify]: Simplify 0 into 0
22.199 * [backup-simplify]: Simplify 1 into 1
22.199 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
22.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.199 * [taylor]: Taking taylor expansion of 1/2 in U
22.199 * [backup-simplify]: Simplify 1/2 into 1/2
22.199 * [taylor]: Taking taylor expansion of K in U
22.199 * [backup-simplify]: Simplify K into K
22.199 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.199 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.199 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.199 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.199 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.200 * [backup-simplify]: Simplify (- 0) into 0
22.200 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.200 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.200 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.200 * [backup-simplify]: Simplify (* 1 1) into 1
22.201 * [backup-simplify]: Simplify (* 1 1) into 1
22.201 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.201 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.201 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
22.201 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
22.201 * [taylor]: Taking taylor expansion of 1 in U
22.201 * [backup-simplify]: Simplify 1 into 1
22.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
22.201 * [taylor]: Taking taylor expansion of 1/4 in U
22.201 * [backup-simplify]: Simplify 1/4 into 1/4
22.201 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
22.201 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.201 * [taylor]: Taking taylor expansion of J in U
22.202 * [backup-simplify]: Simplify J into J
22.202 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
22.202 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.202 * [taylor]: Taking taylor expansion of U in U
22.202 * [backup-simplify]: Simplify 0 into 0
22.202 * [backup-simplify]: Simplify 1 into 1
22.202 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
22.202 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.202 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.202 * [taylor]: Taking taylor expansion of 1/2 in U
22.202 * [backup-simplify]: Simplify 1/2 into 1/2
22.202 * [taylor]: Taking taylor expansion of K in U
22.202 * [backup-simplify]: Simplify K into K
22.202 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.202 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.202 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.202 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.202 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.203 * [backup-simplify]: Simplify (- 0) into 0
22.203 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.203 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.203 * [backup-simplify]: Simplify (* 1 1) into 1
22.203 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.203 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
22.203 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
22.204 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.204 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.204 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.204 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in J
22.204 * [taylor]: Taking taylor expansion of 1/16 in J
22.204 * [backup-simplify]: Simplify 1/16 into 1/16
22.204 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in J
22.204 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.204 * [taylor]: Taking taylor expansion of J in J
22.205 * [backup-simplify]: Simplify 0 into 0
22.205 * [backup-simplify]: Simplify 1 into 1
22.205 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
22.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.205 * [taylor]: Taking taylor expansion of 1/2 in J
22.205 * [backup-simplify]: Simplify 1/2 into 1/2
22.205 * [taylor]: Taking taylor expansion of K in J
22.205 * [backup-simplify]: Simplify K into K
22.205 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.205 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.205 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.205 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.205 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.206 * [backup-simplify]: Simplify (- 0) into 0
22.206 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.206 * [backup-simplify]: Simplify (* 1 1) into 1
22.210 * [backup-simplify]: Simplify (* 1 1) into 1
22.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.211 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.211 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 4)) into (/ 1 (pow (cos (/ 1/2 K)) 4))
22.211 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.211 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.212 * [backup-simplify]: Simplify (+ 0) into 0
22.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.214 * [backup-simplify]: Simplify (- 0) into 0
22.215 * [backup-simplify]: Simplify (+ 0 0) into 0
22.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.215 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
22.217 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.217 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
22.218 * [backup-simplify]: Simplify (+ 0 0) into 0
22.218 * [backup-simplify]: Simplify (+ 0 0) into 0
22.218 * [taylor]: Taking taylor expansion of 0 in J
22.218 * [backup-simplify]: Simplify 0 into 0
22.218 * [taylor]: Taking taylor expansion of 0 in K
22.218 * [backup-simplify]: Simplify 0 into 0
22.218 * [backup-simplify]: Simplify 0 into 0
22.218 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.219 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.221 * [backup-simplify]: Simplify (- 0) into 0
22.221 * [backup-simplify]: Simplify (+ 0 0) into 0
22.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
22.222 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
22.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
22.224 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.224 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
22.225 * [backup-simplify]: Simplify (+ 0 0) into 0
22.225 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
22.225 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
22.225 * [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))))
22.225 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
22.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
22.225 * [taylor]: Taking taylor expansion of 1/4 in J
22.225 * [backup-simplify]: Simplify 1/4 into 1/4
22.225 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
22.225 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.225 * [taylor]: Taking taylor expansion of J in J
22.225 * [backup-simplify]: Simplify 0 into 0
22.225 * [backup-simplify]: Simplify 1 into 1
22.225 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
22.225 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.225 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.225 * [taylor]: Taking taylor expansion of 1/2 in J
22.225 * [backup-simplify]: Simplify 1/2 into 1/2
22.225 * [taylor]: Taking taylor expansion of K in J
22.225 * [backup-simplify]: Simplify K into K
22.225 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.226 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.226 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.226 * [backup-simplify]: Simplify (- 0) into 0
22.226 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.226 * [backup-simplify]: Simplify (* 1 1) into 1
22.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.226 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
22.226 * [taylor]: Taking taylor expansion of 0 in K
22.226 * [backup-simplify]: Simplify 0 into 0
22.227 * [backup-simplify]: Simplify 0 into 0
22.227 * [backup-simplify]: Simplify 0 into 0
22.227 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.228 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.228 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.229 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.230 * [backup-simplify]: Simplify (- 0) into 0
22.231 * [backup-simplify]: Simplify (+ 0 0) into 0
22.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
22.232 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
22.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.234 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.235 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
22.235 * [backup-simplify]: Simplify (+ 0 0) into 0
22.235 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.236 * [backup-simplify]: Simplify (+ 0) into 0
22.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.237 * [backup-simplify]: Simplify (- 0) into 0
22.237 * [backup-simplify]: Simplify (+ 0 0) into 0
22.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
22.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
22.239 * [backup-simplify]: Simplify (- 0) into 0
22.239 * [backup-simplify]: Simplify (+ 0 0) into 0
22.239 * [taylor]: Taking taylor expansion of 0 in J
22.239 * [backup-simplify]: Simplify 0 into 0
22.239 * [taylor]: Taking taylor expansion of 0 in K
22.239 * [backup-simplify]: Simplify 0 into 0
22.239 * [backup-simplify]: Simplify 0 into 0
22.239 * [taylor]: Taking taylor expansion of 0 in K
22.239 * [backup-simplify]: Simplify 0 into 0
22.239 * [backup-simplify]: Simplify 0 into 0
22.240 * [backup-simplify]: Simplify 0 into 0
22.240 * [backup-simplify]: Simplify 0 into 0
22.241 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
22.241 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in (U J K) around 0
22.241 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
22.241 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
22.241 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
22.241 * [taylor]: Taking taylor expansion of 1/16 in K
22.241 * [backup-simplify]: Simplify 1/16 into 1/16
22.241 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
22.241 * [taylor]: Taking taylor expansion of (pow J 4) in K
22.241 * [taylor]: Taking taylor expansion of J in K
22.241 * [backup-simplify]: Simplify J into J
22.241 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
22.241 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
22.241 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
22.241 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
22.241 * [taylor]: Taking taylor expansion of -1/2 in K
22.241 * [backup-simplify]: Simplify -1/2 into -1/2
22.241 * [taylor]: Taking taylor expansion of K in K
22.241 * [backup-simplify]: Simplify 0 into 0
22.241 * [backup-simplify]: Simplify 1 into 1
22.241 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
22.242 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.242 * [taylor]: Taking taylor expansion of (pow U 4) in K
22.242 * [taylor]: Taking taylor expansion of U in K
22.242 * [backup-simplify]: Simplify U into U
22.242 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.242 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.242 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.242 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.242 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.242 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.242 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
22.242 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
22.242 * [taylor]: Taking taylor expansion of 1 in K
22.242 * [backup-simplify]: Simplify 1 into 1
22.242 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
22.242 * [taylor]: Taking taylor expansion of 1/4 in K
22.242 * [backup-simplify]: Simplify 1/4 into 1/4
22.242 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
22.242 * [taylor]: Taking taylor expansion of (pow J 2) in K
22.242 * [taylor]: Taking taylor expansion of J in K
22.242 * [backup-simplify]: Simplify J into J
22.242 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
22.242 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
22.242 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
22.242 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
22.242 * [taylor]: Taking taylor expansion of -1/2 in K
22.242 * [backup-simplify]: Simplify -1/2 into -1/2
22.242 * [taylor]: Taking taylor expansion of K in K
22.242 * [backup-simplify]: Simplify 0 into 0
22.243 * [backup-simplify]: Simplify 1 into 1
22.243 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
22.243 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.243 * [taylor]: Taking taylor expansion of (pow U 2) in K
22.243 * [taylor]: Taking taylor expansion of U in K
22.243 * [backup-simplify]: Simplify U into U
22.243 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.243 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.243 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.243 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
22.243 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
22.243 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
22.243 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
22.243 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
22.243 * [taylor]: Taking taylor expansion of 1/16 in J
22.243 * [backup-simplify]: Simplify 1/16 into 1/16
22.243 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
22.243 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.243 * [taylor]: Taking taylor expansion of J in J
22.243 * [backup-simplify]: Simplify 0 into 0
22.243 * [backup-simplify]: Simplify 1 into 1
22.244 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
22.244 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
22.244 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.244 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.244 * [taylor]: Taking taylor expansion of -1/2 in J
22.244 * [backup-simplify]: Simplify -1/2 into -1/2
22.244 * [taylor]: Taking taylor expansion of K in J
22.244 * [backup-simplify]: Simplify K into K
22.244 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.244 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.244 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.244 * [backup-simplify]: Simplify (- 0) into 0
22.244 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.244 * [taylor]: Taking taylor expansion of (pow U 4) in J
22.244 * [taylor]: Taking taylor expansion of U in J
22.244 * [backup-simplify]: Simplify U into U
22.244 * [backup-simplify]: Simplify (* 1 1) into 1
22.245 * [backup-simplify]: Simplify (* 1 1) into 1
22.245 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.245 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.245 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.245 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.245 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
22.246 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
22.246 * [taylor]: Taking taylor expansion of 1 in J
22.246 * [backup-simplify]: Simplify 1 into 1
22.246 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
22.246 * [taylor]: Taking taylor expansion of 1/4 in J
22.246 * [backup-simplify]: Simplify 1/4 into 1/4
22.246 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
22.246 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.246 * [taylor]: Taking taylor expansion of J in J
22.246 * [backup-simplify]: Simplify 0 into 0
22.246 * [backup-simplify]: Simplify 1 into 1
22.246 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
22.246 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
22.246 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.246 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.246 * [taylor]: Taking taylor expansion of -1/2 in J
22.246 * [backup-simplify]: Simplify -1/2 into -1/2
22.246 * [taylor]: Taking taylor expansion of K in J
22.246 * [backup-simplify]: Simplify K into K
22.246 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.246 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.246 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.246 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.247 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.247 * [backup-simplify]: Simplify (- 0) into 0
22.247 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.247 * [taylor]: Taking taylor expansion of (pow U 2) in J
22.247 * [taylor]: Taking taylor expansion of U in J
22.247 * [backup-simplify]: Simplify U into U
22.248 * [backup-simplify]: Simplify (* 1 1) into 1
22.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.248 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.248 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
22.248 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
22.248 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
22.248 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
22.248 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
22.248 * [taylor]: Taking taylor expansion of 1/16 in U
22.248 * [backup-simplify]: Simplify 1/16 into 1/16
22.248 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
22.249 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.249 * [taylor]: Taking taylor expansion of J in U
22.249 * [backup-simplify]: Simplify J into J
22.249 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
22.249 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
22.249 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.249 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.249 * [taylor]: Taking taylor expansion of -1/2 in U
22.249 * [backup-simplify]: Simplify -1/2 into -1/2
22.249 * [taylor]: Taking taylor expansion of K in U
22.249 * [backup-simplify]: Simplify K into K
22.249 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.249 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.249 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.249 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.249 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.250 * [backup-simplify]: Simplify (- 0) into 0
22.250 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.250 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.250 * [taylor]: Taking taylor expansion of U in U
22.250 * [backup-simplify]: Simplify 0 into 0
22.250 * [backup-simplify]: Simplify 1 into 1
22.250 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.250 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.251 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.251 * [backup-simplify]: Simplify (* 1 1) into 1
22.252 * [backup-simplify]: Simplify (* 1 1) into 1
22.252 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
22.252 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
22.252 * [taylor]: Taking taylor expansion of 1 in U
22.252 * [backup-simplify]: Simplify 1 into 1
22.252 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
22.252 * [taylor]: Taking taylor expansion of 1/4 in U
22.252 * [backup-simplify]: Simplify 1/4 into 1/4
22.252 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
22.252 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.252 * [taylor]: Taking taylor expansion of J in U
22.252 * [backup-simplify]: Simplify J into J
22.252 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
22.252 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
22.252 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.252 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.252 * [taylor]: Taking taylor expansion of -1/2 in U
22.252 * [backup-simplify]: Simplify -1/2 into -1/2
22.252 * [taylor]: Taking taylor expansion of K in U
22.252 * [backup-simplify]: Simplify K into K
22.252 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.253 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.253 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.253 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.253 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.253 * [backup-simplify]: Simplify (- 0) into 0
22.253 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.253 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.253 * [taylor]: Taking taylor expansion of U in U
22.253 * [backup-simplify]: Simplify 0 into 0
22.254 * [backup-simplify]: Simplify 1 into 1
22.254 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.254 * [backup-simplify]: Simplify (* 1 1) into 1
22.254 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.254 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
22.255 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
22.255 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
22.255 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
22.255 * [taylor]: Taking taylor expansion of 1/16 in U
22.255 * [backup-simplify]: Simplify 1/16 into 1/16
22.255 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
22.255 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.255 * [taylor]: Taking taylor expansion of J in U
22.255 * [backup-simplify]: Simplify J into J
22.255 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
22.255 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
22.255 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.255 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.255 * [taylor]: Taking taylor expansion of -1/2 in U
22.255 * [backup-simplify]: Simplify -1/2 into -1/2
22.255 * [taylor]: Taking taylor expansion of K in U
22.255 * [backup-simplify]: Simplify K into K
22.255 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.255 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.255 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.255 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.256 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.256 * [backup-simplify]: Simplify (- 0) into 0
22.256 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.256 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.256 * [taylor]: Taking taylor expansion of U in U
22.256 * [backup-simplify]: Simplify 0 into 0
22.256 * [backup-simplify]: Simplify 1 into 1
22.257 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.257 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.257 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.257 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.257 * [backup-simplify]: Simplify (* 1 1) into 1
22.258 * [backup-simplify]: Simplify (* 1 1) into 1
22.258 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
22.258 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
22.258 * [taylor]: Taking taylor expansion of 1 in U
22.258 * [backup-simplify]: Simplify 1 into 1
22.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
22.258 * [taylor]: Taking taylor expansion of 1/4 in U
22.258 * [backup-simplify]: Simplify 1/4 into 1/4
22.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
22.258 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.258 * [taylor]: Taking taylor expansion of J in U
22.258 * [backup-simplify]: Simplify J into J
22.258 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
22.258 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
22.259 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.259 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.259 * [taylor]: Taking taylor expansion of -1/2 in U
22.259 * [backup-simplify]: Simplify -1/2 into -1/2
22.259 * [taylor]: Taking taylor expansion of K in U
22.259 * [backup-simplify]: Simplify K into K
22.259 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.259 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.259 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.259 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.260 * [backup-simplify]: Simplify (- 0) into 0
22.260 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.260 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.260 * [taylor]: Taking taylor expansion of U in U
22.260 * [backup-simplify]: Simplify 0 into 0
22.260 * [backup-simplify]: Simplify 1 into 1
22.260 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.260 * [backup-simplify]: Simplify (* 1 1) into 1
22.260 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.261 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
22.261 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.261 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.262 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.262 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in J
22.262 * [taylor]: Taking taylor expansion of 1/16 in J
22.262 * [backup-simplify]: Simplify 1/16 into 1/16
22.262 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in J
22.262 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.262 * [taylor]: Taking taylor expansion of J in J
22.262 * [backup-simplify]: Simplify 0 into 0
22.262 * [backup-simplify]: Simplify 1 into 1
22.262 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
22.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.262 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.262 * [taylor]: Taking taylor expansion of -1/2 in J
22.262 * [backup-simplify]: Simplify -1/2 into -1/2
22.262 * [taylor]: Taking taylor expansion of K in J
22.262 * [backup-simplify]: Simplify K into K
22.262 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.262 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.262 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.263 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.263 * [backup-simplify]: Simplify (- 0) into 0
22.263 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.264 * [backup-simplify]: Simplify (* 1 1) into 1
22.264 * [backup-simplify]: Simplify (* 1 1) into 1
22.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.264 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.264 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 4)) into (/ 1 (pow (cos (/ -1/2 K)) 4))
22.265 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.265 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.267 * [backup-simplify]: Simplify (+ 0) into 0
22.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.267 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.269 * [backup-simplify]: Simplify (- 0) into 0
22.269 * [backup-simplify]: Simplify (+ 0 0) into 0
22.270 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.270 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.270 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
22.271 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.271 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
22.272 * [backup-simplify]: Simplify (+ 0 0) into 0
22.272 * [backup-simplify]: Simplify (+ 0 0) into 0
22.272 * [taylor]: Taking taylor expansion of 0 in J
22.272 * [backup-simplify]: Simplify 0 into 0
22.272 * [taylor]: Taking taylor expansion of 0 in K
22.272 * [backup-simplify]: Simplify 0 into 0
22.272 * [backup-simplify]: Simplify 0 into 0
22.273 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.274 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.278 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.279 * [backup-simplify]: Simplify (- 0) into 0
22.280 * [backup-simplify]: Simplify (+ 0 0) into 0
22.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
22.281 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
22.282 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
22.282 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.283 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
22.284 * [backup-simplify]: Simplify (+ 0 0) into 0
22.284 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.284 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
22.284 * [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))))
22.285 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
22.285 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
22.285 * [taylor]: Taking taylor expansion of 1/4 in J
22.285 * [backup-simplify]: Simplify 1/4 into 1/4
22.285 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
22.285 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.285 * [taylor]: Taking taylor expansion of J in J
22.285 * [backup-simplify]: Simplify 0 into 0
22.285 * [backup-simplify]: Simplify 1 into 1
22.285 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
22.285 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.285 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.285 * [taylor]: Taking taylor expansion of -1/2 in J
22.285 * [backup-simplify]: Simplify -1/2 into -1/2
22.285 * [taylor]: Taking taylor expansion of K in J
22.285 * [backup-simplify]: Simplify K into K
22.285 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.285 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.285 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.285 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.286 * [backup-simplify]: Simplify (- 0) into 0
22.286 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.286 * [backup-simplify]: Simplify (* 1 1) into 1
22.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.287 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
22.287 * [taylor]: Taking taylor expansion of 0 in K
22.287 * [backup-simplify]: Simplify 0 into 0
22.287 * [backup-simplify]: Simplify 0 into 0
22.287 * [backup-simplify]: Simplify 0 into 0
22.288 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.288 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.291 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.294 * [backup-simplify]: Simplify (- 0) into 0
22.295 * [backup-simplify]: Simplify (+ 0 0) into 0
22.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
22.296 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.296 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.297 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.297 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
22.298 * [backup-simplify]: Simplify (+ 0 0) into 0
22.298 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.299 * [backup-simplify]: Simplify (+ 0) into 0
22.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.300 * [backup-simplify]: Simplify (- 0) into 0
22.300 * [backup-simplify]: Simplify (+ 0 0) into 0
22.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.301 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
22.301 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
22.301 * [backup-simplify]: Simplify (- 0) into 0
22.302 * [backup-simplify]: Simplify (+ 0 0) into 0
22.302 * [taylor]: Taking taylor expansion of 0 in J
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [taylor]: Taking taylor expansion of 0 in K
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [taylor]: Taking taylor expansion of 0 in K
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
22.303 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) into (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))
22.303 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in (U J K) around 0
22.303 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in K
22.303 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
22.303 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
22.303 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
22.303 * [taylor]: Taking taylor expansion of 1/16 in K
22.303 * [backup-simplify]: Simplify 1/16 into 1/16
22.303 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
22.303 * [taylor]: Taking taylor expansion of (pow U 4) in K
22.303 * [taylor]: Taking taylor expansion of U in K
22.303 * [backup-simplify]: Simplify U into U
22.303 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
22.303 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
22.303 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.303 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.303 * [taylor]: Taking taylor expansion of 1/2 in K
22.303 * [backup-simplify]: Simplify 1/2 into 1/2
22.303 * [taylor]: Taking taylor expansion of K in K
22.303 * [backup-simplify]: Simplify 0 into 0
22.303 * [backup-simplify]: Simplify 1 into 1
22.304 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.304 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.304 * [taylor]: Taking taylor expansion of (pow J 4) in K
22.304 * [taylor]: Taking taylor expansion of J in K
22.304 * [backup-simplify]: Simplify J into J
22.304 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.304 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.305 * [backup-simplify]: Simplify (* 1 1) into 1
22.305 * [backup-simplify]: Simplify (* 1 1) into 1
22.305 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.305 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.305 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
22.305 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
22.305 * [taylor]: Taking taylor expansion of 1 in K
22.305 * [backup-simplify]: Simplify 1 into 1
22.305 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
22.305 * [taylor]: Taking taylor expansion of 1/4 in K
22.305 * [backup-simplify]: Simplify 1/4 into 1/4
22.305 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
22.305 * [taylor]: Taking taylor expansion of (pow U 2) in K
22.305 * [taylor]: Taking taylor expansion of U in K
22.305 * [backup-simplify]: Simplify U into U
22.305 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
22.305 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
22.305 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.305 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.305 * [taylor]: Taking taylor expansion of 1/2 in K
22.305 * [backup-simplify]: Simplify 1/2 into 1/2
22.305 * [taylor]: Taking taylor expansion of K in K
22.305 * [backup-simplify]: Simplify 0 into 0
22.305 * [backup-simplify]: Simplify 1 into 1
22.306 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.306 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.306 * [taylor]: Taking taylor expansion of (pow J 2) in K
22.306 * [taylor]: Taking taylor expansion of J in K
22.306 * [backup-simplify]: Simplify J into J
22.306 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.306 * [backup-simplify]: Simplify (* 1 1) into 1
22.307 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.307 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
22.307 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
22.307 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow J 4))) into (* 1/16 (/ (pow U 4) (pow J 4)))
22.307 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) into (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1)
22.307 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
22.307 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow U 2) (pow J 2)))) into (- (* 1/4 (/ (pow U 2) (pow J 2))))
22.307 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
22.308 * [backup-simplify]: Simplify (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))
22.308 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.308 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
22.308 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.308 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.308 * [backup-simplify]: Simplify (+ 0) into 0
22.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 4))) into 0
22.309 * [backup-simplify]: Simplify (- (/ 0 (pow J 4)) (+ (* (/ (pow U 4) (pow J 4)) (/ 0 (pow J 4))))) into 0
22.310 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow J 4)))) into 0
22.310 * [backup-simplify]: Simplify (+ 0 0) into 0
22.310 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.310 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.310 * [backup-simplify]: Simplify (+ 0) into 0
22.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
22.311 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
22.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
22.312 * [backup-simplify]: Simplify (- 0) into 0
22.312 * [backup-simplify]: Simplify (+ 0 0) into 0
22.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0
22.313 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in J
22.313 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
22.313 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
22.313 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
22.313 * [taylor]: Taking taylor expansion of 1/16 in J
22.313 * [backup-simplify]: Simplify 1/16 into 1/16
22.313 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
22.313 * [taylor]: Taking taylor expansion of (pow U 4) in J
22.313 * [taylor]: Taking taylor expansion of U in J
22.313 * [backup-simplify]: Simplify U into U
22.313 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
22.313 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
22.313 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.313 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.313 * [taylor]: Taking taylor expansion of 1/2 in J
22.313 * [backup-simplify]: Simplify 1/2 into 1/2
22.313 * [taylor]: Taking taylor expansion of K in J
22.313 * [backup-simplify]: Simplify K into K
22.313 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.313 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.313 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.313 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.313 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.314 * [backup-simplify]: Simplify (- 0) into 0
22.314 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.314 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.314 * [taylor]: Taking taylor expansion of J in J
22.314 * [backup-simplify]: Simplify 0 into 0
22.314 * [backup-simplify]: Simplify 1 into 1
22.314 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.314 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.314 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.314 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.314 * [backup-simplify]: Simplify (* 1 1) into 1
22.315 * [backup-simplify]: Simplify (* 1 1) into 1
22.315 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
22.315 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
22.315 * [taylor]: Taking taylor expansion of 1 in J
22.315 * [backup-simplify]: Simplify 1 into 1
22.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
22.315 * [taylor]: Taking taylor expansion of 1/4 in J
22.315 * [backup-simplify]: Simplify 1/4 into 1/4
22.315 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
22.315 * [taylor]: Taking taylor expansion of (pow U 2) in J
22.315 * [taylor]: Taking taylor expansion of U in J
22.315 * [backup-simplify]: Simplify U into U
22.315 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
22.315 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
22.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.315 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.315 * [taylor]: Taking taylor expansion of 1/2 in J
22.315 * [backup-simplify]: Simplify 1/2 into 1/2
22.315 * [taylor]: Taking taylor expansion of K in J
22.315 * [backup-simplify]: Simplify K into K
22.315 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.316 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.316 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.316 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.316 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.316 * [backup-simplify]: Simplify (- 0) into 0
22.316 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.316 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.316 * [taylor]: Taking taylor expansion of J in J
22.316 * [backup-simplify]: Simplify 0 into 0
22.316 * [backup-simplify]: Simplify 1 into 1
22.316 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.316 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.316 * [backup-simplify]: Simplify (* 1 1) into 1
22.317 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
22.317 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
22.317 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
22.317 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
22.317 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
22.317 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
22.317 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.318 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
22.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.319 * [backup-simplify]: Simplify (+ 0) into 0
22.319 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
22.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
22.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.320 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
22.320 * [backup-simplify]: Simplify (- 0) into 0
22.321 * [backup-simplify]: Simplify (+ 0 0) into 0
22.321 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
22.321 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
22.321 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
22.322 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
22.322 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into 0
22.322 * [backup-simplify]: Simplify (+ 0 0) into 0
22.323 * [backup-simplify]: Simplify (+ 0 0) into 0
22.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))))) into 0
22.323 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
22.323 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
22.323 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
22.323 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
22.323 * [taylor]: Taking taylor expansion of 1/16 in U
22.323 * [backup-simplify]: Simplify 1/16 into 1/16
22.323 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
22.323 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.323 * [taylor]: Taking taylor expansion of U in U
22.323 * [backup-simplify]: Simplify 0 into 0
22.323 * [backup-simplify]: Simplify 1 into 1
22.323 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
22.323 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
22.323 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.323 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.323 * [taylor]: Taking taylor expansion of 1/2 in U
22.323 * [backup-simplify]: Simplify 1/2 into 1/2
22.323 * [taylor]: Taking taylor expansion of K in U
22.324 * [backup-simplify]: Simplify K into K
22.324 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.324 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.324 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.324 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.324 * [backup-simplify]: Simplify (- 0) into 0
22.324 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.324 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.324 * [taylor]: Taking taylor expansion of J in U
22.324 * [backup-simplify]: Simplify J into J
22.325 * [backup-simplify]: Simplify (* 1 1) into 1
22.325 * [backup-simplify]: Simplify (* 1 1) into 1
22.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.325 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.325 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.325 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.325 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
22.325 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.325 * [taylor]: Taking taylor expansion of 1 in U
22.325 * [backup-simplify]: Simplify 1 into 1
22.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
22.325 * [taylor]: Taking taylor expansion of 1/4 in U
22.325 * [backup-simplify]: Simplify 1/4 into 1/4
22.325 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
22.325 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.325 * [taylor]: Taking taylor expansion of U in U
22.326 * [backup-simplify]: Simplify 0 into 0
22.326 * [backup-simplify]: Simplify 1 into 1
22.326 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
22.326 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
22.326 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.326 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.326 * [taylor]: Taking taylor expansion of 1/2 in U
22.326 * [backup-simplify]: Simplify 1/2 into 1/2
22.326 * [taylor]: Taking taylor expansion of K in U
22.326 * [backup-simplify]: Simplify K into K
22.326 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.326 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.326 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.326 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.326 * [backup-simplify]: Simplify (- 0) into 0
22.326 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.326 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.326 * [taylor]: Taking taylor expansion of J in U
22.326 * [backup-simplify]: Simplify J into J
22.330 * [backup-simplify]: Simplify (* 1 1) into 1
22.330 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.330 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.330 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
22.330 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
22.331 * [backup-simplify]: Simplify (+ 0 1) into 1
22.331 * [backup-simplify]: Simplify (+ 1 0) into 1
22.331 * [backup-simplify]: Simplify (sqrt 1) into 1
22.331 * [backup-simplify]: Simplify (+ 0 0) into 0
22.332 * [backup-simplify]: Simplify (+ 0 0) into 0
22.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.332 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
22.332 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
22.332 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
22.332 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
22.332 * [taylor]: Taking taylor expansion of 1/16 in U
22.332 * [backup-simplify]: Simplify 1/16 into 1/16
22.332 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
22.332 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.332 * [taylor]: Taking taylor expansion of U in U
22.332 * [backup-simplify]: Simplify 0 into 0
22.332 * [backup-simplify]: Simplify 1 into 1
22.332 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
22.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
22.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.332 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.332 * [taylor]: Taking taylor expansion of 1/2 in U
22.332 * [backup-simplify]: Simplify 1/2 into 1/2
22.332 * [taylor]: Taking taylor expansion of K in U
22.332 * [backup-simplify]: Simplify K into K
22.332 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.333 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.333 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.333 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.333 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.333 * [backup-simplify]: Simplify (- 0) into 0
22.333 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.333 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.333 * [taylor]: Taking taylor expansion of J in U
22.333 * [backup-simplify]: Simplify J into J
22.333 * [backup-simplify]: Simplify (* 1 1) into 1
22.334 * [backup-simplify]: Simplify (* 1 1) into 1
22.334 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.334 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.334 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.334 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.334 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
22.334 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.334 * [taylor]: Taking taylor expansion of 1 in U
22.334 * [backup-simplify]: Simplify 1 into 1
22.334 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
22.334 * [taylor]: Taking taylor expansion of 1/4 in U
22.334 * [backup-simplify]: Simplify 1/4 into 1/4
22.334 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
22.334 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.334 * [taylor]: Taking taylor expansion of U in U
22.334 * [backup-simplify]: Simplify 0 into 0
22.334 * [backup-simplify]: Simplify 1 into 1
22.334 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
22.334 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
22.334 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.334 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.334 * [taylor]: Taking taylor expansion of 1/2 in U
22.334 * [backup-simplify]: Simplify 1/2 into 1/2
22.334 * [taylor]: Taking taylor expansion of K in U
22.334 * [backup-simplify]: Simplify K into K
22.334 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.334 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.334 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.335 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.335 * [backup-simplify]: Simplify (- 0) into 0
22.335 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.335 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.335 * [taylor]: Taking taylor expansion of J in U
22.335 * [backup-simplify]: Simplify J into J
22.335 * [backup-simplify]: Simplify (* 1 1) into 1
22.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.335 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.335 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
22.336 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
22.336 * [backup-simplify]: Simplify (+ 0 1) into 1
22.336 * [backup-simplify]: Simplify (+ 1 0) into 1
22.336 * [backup-simplify]: Simplify (sqrt 1) into 1
22.337 * [backup-simplify]: Simplify (+ 0 0) into 0
22.337 * [backup-simplify]: Simplify (+ 0 0) into 0
22.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.337 * [taylor]: Taking taylor expansion of 1 in J
22.338 * [backup-simplify]: Simplify 1 into 1
22.338 * [taylor]: Taking taylor expansion of 0 in J
22.338 * [backup-simplify]: Simplify 0 into 0
22.338 * [backup-simplify]: Simplify (+ 0 0) into 0
22.338 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
22.338 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
22.338 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
22.340 * [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)))
22.340 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
22.340 * [taylor]: Taking taylor expansion of -1/8 in J
22.340 * [backup-simplify]: Simplify -1/8 into -1/8
22.340 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
22.340 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
22.340 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.340 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.340 * [taylor]: Taking taylor expansion of 1/2 in J
22.340 * [backup-simplify]: Simplify 1/2 into 1/2
22.340 * [taylor]: Taking taylor expansion of K in J
22.340 * [backup-simplify]: Simplify K into K
22.340 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.340 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.340 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.340 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.340 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.340 * [backup-simplify]: Simplify (- 0) into 0
22.340 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.340 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.340 * [taylor]: Taking taylor expansion of J in J
22.340 * [backup-simplify]: Simplify 0 into 0
22.340 * [backup-simplify]: Simplify 1 into 1
22.341 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.341 * [backup-simplify]: Simplify (* 1 1) into 1
22.341 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
22.341 * [backup-simplify]: Simplify (/ -1/8 (pow (cos (* 1/2 K)) 2)) into (/ -1/8 (pow (cos (* 1/2 K)) 2))
22.341 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (cos (* 1/2 K)) 2)) in K
22.341 * [taylor]: Taking taylor expansion of -1/8 in K
22.341 * [backup-simplify]: Simplify -1/8 into -1/8
22.341 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
22.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.341 * [taylor]: Taking taylor expansion of 1/2 in K
22.341 * [backup-simplify]: Simplify 1/2 into 1/2
22.341 * [taylor]: Taking taylor expansion of K in K
22.341 * [backup-simplify]: Simplify 0 into 0
22.341 * [backup-simplify]: Simplify 1 into 1
22.341 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.342 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.342 * [backup-simplify]: Simplify (* 1 1) into 1
22.342 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
22.342 * [backup-simplify]: Simplify -1/8 into -1/8
22.343 * [taylor]: Taking taylor expansion of 1 in K
22.343 * [backup-simplify]: Simplify 1 into 1
22.343 * [backup-simplify]: Simplify 1 into 1
22.343 * [backup-simplify]: Simplify (+ 0 0) into 0
22.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.343 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.344 * [backup-simplify]: Simplify (+ 0) into 0
22.344 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
22.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
22.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.345 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
22.345 * [backup-simplify]: Simplify (- 0) into 0
22.346 * [backup-simplify]: Simplify (+ 0 0) into 0
22.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
22.346 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
22.346 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
22.347 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
22.347 * [backup-simplify]: Simplify (- 0) into 0
22.347 * [backup-simplify]: Simplify (+ 0 0) into 0
22.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
22.348 * [taylor]: Taking taylor expansion of 0 in J
22.348 * [backup-simplify]: Simplify 0 into 0
22.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.348 * [backup-simplify]: Simplify (+ 0) into 0
22.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
22.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
22.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.350 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
22.350 * [backup-simplify]: Simplify (- 0) into 0
22.350 * [backup-simplify]: Simplify (+ 0 0) into 0
22.350 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
22.351 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
22.351 * [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
22.351 * [taylor]: Taking taylor expansion of 0 in K
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [taylor]: Taking taylor expansion of 0 in K
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [taylor]: Taking taylor expansion of 0 in K
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [backup-simplify]: Simplify (+ 0) into 0
22.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
22.352 * [backup-simplify]: Simplify 0 into 0
22.352 * [backup-simplify]: Simplify 0 into 0
22.352 * [backup-simplify]: Simplify (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.353 * [backup-simplify]: Simplify (+ (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
22.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.353 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
22.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.356 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.356 * [backup-simplify]: Simplify (- 0) into 0
22.356 * [backup-simplify]: Simplify (+ 0 0) into 0
22.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
22.357 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.357 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
22.358 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
22.358 * [backup-simplify]: Simplify (- 0) into 0
22.359 * [backup-simplify]: Simplify (+ (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
22.359 * [backup-simplify]: Simplify (/ (- (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) (pow (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
22.360 * [taylor]: Taking taylor expansion of (/ 3/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
22.360 * [taylor]: Taking taylor expansion of 3/128 in J
22.360 * [backup-simplify]: Simplify 3/128 into 3/128
22.360 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
22.360 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
22.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.360 * [taylor]: Taking taylor expansion of 1/2 in J
22.360 * [backup-simplify]: Simplify 1/2 into 1/2
22.360 * [taylor]: Taking taylor expansion of K in J
22.360 * [backup-simplify]: Simplify K into K
22.360 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.360 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.360 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.360 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.360 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.360 * [backup-simplify]: Simplify (- 0) into 0
22.360 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.360 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.360 * [taylor]: Taking taylor expansion of J in J
22.360 * [backup-simplify]: Simplify 0 into 0
22.360 * [backup-simplify]: Simplify 1 into 1
22.360 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.360 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
22.361 * [backup-simplify]: Simplify (* 1 1) into 1
22.361 * [backup-simplify]: Simplify (* 1 1) into 1
22.361 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
22.361 * [backup-simplify]: Simplify (/ 3/128 (pow (cos (* 1/2 K)) 4)) into (/ 3/128 (pow (cos (* 1/2 K)) 4))
22.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.363 * [backup-simplify]: Simplify (+ 0) into 0
22.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
22.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
22.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.364 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
22.365 * [backup-simplify]: Simplify (- 0) into 0
22.365 * [backup-simplify]: Simplify (+ 0 0) into 0
22.365 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
22.365 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
22.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
22.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.368 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.368 * [backup-simplify]: Simplify (- 0) into 0
22.368 * [backup-simplify]: Simplify (+ 0 0) into 0
22.369 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
22.369 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 2)))) into 0
22.369 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
22.370 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
22.370 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ 3/128 (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
22.370 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ 3/128 (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
22.370 * [taylor]: Taking taylor expansion of 0 in K
22.370 * [backup-simplify]: Simplify 0 into 0
22.370 * [backup-simplify]: Simplify 0 into 0
22.370 * [backup-simplify]: Simplify (+ 1 (* -1/8 (pow (* 1 (* (/ 1 J) U)) 2))) into (- 1 (* 1/8 (/ (pow U 2) (pow J 2))))
22.372 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
22.372 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in (U J K) around 0
22.372 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in K
22.372 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
22.372 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
22.372 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
22.372 * [taylor]: Taking taylor expansion of 1/16 in K
22.372 * [backup-simplify]: Simplify 1/16 into 1/16
22.372 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
22.372 * [taylor]: Taking taylor expansion of (pow J 4) in K
22.372 * [taylor]: Taking taylor expansion of J in K
22.372 * [backup-simplify]: Simplify J into J
22.372 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
22.372 * [taylor]: Taking taylor expansion of (pow U 4) in K
22.372 * [taylor]: Taking taylor expansion of U in K
22.372 * [backup-simplify]: Simplify U into U
22.372 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
22.372 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
22.372 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
22.372 * [taylor]: Taking taylor expansion of 1/2 in K
22.372 * [backup-simplify]: Simplify 1/2 into 1/2
22.372 * [taylor]: Taking taylor expansion of K in K
22.372 * [backup-simplify]: Simplify 0 into 0
22.372 * [backup-simplify]: Simplify 1 into 1
22.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
22.372 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.372 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.373 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.373 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.373 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.373 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.373 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.373 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
22.373 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
22.373 * [taylor]: Taking taylor expansion of 1 in K
22.373 * [backup-simplify]: Simplify 1 into 1
22.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
22.373 * [taylor]: Taking taylor expansion of 1/4 in K
22.373 * [backup-simplify]: Simplify 1/4 into 1/4
22.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
22.373 * [taylor]: Taking taylor expansion of (pow J 2) in K
22.373 * [taylor]: Taking taylor expansion of J in K
22.373 * [backup-simplify]: Simplify J into J
22.373 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
22.373 * [taylor]: Taking taylor expansion of (pow U 2) in K
22.373 * [taylor]: Taking taylor expansion of U in K
22.373 * [backup-simplify]: Simplify U into U
22.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
22.373 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
22.373 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
22.373 * [taylor]: Taking taylor expansion of 1/2 in K
22.373 * [backup-simplify]: Simplify 1/2 into 1/2
22.373 * [taylor]: Taking taylor expansion of K in K
22.373 * [backup-simplify]: Simplify 0 into 0
22.373 * [backup-simplify]: Simplify 1 into 1
22.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
22.374 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.374 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.374 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.374 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.374 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
22.374 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
22.374 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))
22.375 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1)
22.375 * [backup-simplify]: Simplify (* 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))))
22.375 * [backup-simplify]: Simplify (- (* 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)))))
22.375 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
22.376 * [backup-simplify]: Simplify (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
22.376 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.376 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.376 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.376 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.376 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
22.377 * [backup-simplify]: Simplify (+ (* (pow U 4) 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
22.377 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (+ (* (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
22.377 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))) into 0
22.378 * [backup-simplify]: Simplify (+ 0 0) into 0
22.378 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.378 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.378 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.378 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.378 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
22.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
22.379 * [backup-simplify]: Simplify (- 0) into 0
22.379 * [backup-simplify]: Simplify (+ 0 0) into 0
22.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) into 0
22.380 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in J
22.380 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
22.380 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
22.380 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
22.380 * [taylor]: Taking taylor expansion of 1/16 in J
22.380 * [backup-simplify]: Simplify 1/16 into 1/16
22.380 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
22.380 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.380 * [taylor]: Taking taylor expansion of J in J
22.380 * [backup-simplify]: Simplify 0 into 0
22.380 * [backup-simplify]: Simplify 1 into 1
22.380 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
22.380 * [taylor]: Taking taylor expansion of (pow U 4) in J
22.380 * [taylor]: Taking taylor expansion of U in J
22.380 * [backup-simplify]: Simplify U into U
22.380 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
22.380 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.380 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.380 * [taylor]: Taking taylor expansion of 1/2 in J
22.380 * [backup-simplify]: Simplify 1/2 into 1/2
22.380 * [taylor]: Taking taylor expansion of K in J
22.380 * [backup-simplify]: Simplify K into K
22.380 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.380 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.380 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.380 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.381 * [backup-simplify]: Simplify (- 0) into 0
22.381 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.381 * [backup-simplify]: Simplify (* 1 1) into 1
22.381 * [backup-simplify]: Simplify (* 1 1) into 1
22.381 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.381 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.381 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.382 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.382 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
22.382 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
22.382 * [taylor]: Taking taylor expansion of 1 in J
22.382 * [backup-simplify]: Simplify 1 into 1
22.382 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
22.382 * [taylor]: Taking taylor expansion of 1/4 in J
22.382 * [backup-simplify]: Simplify 1/4 into 1/4
22.382 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
22.382 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.382 * [taylor]: Taking taylor expansion of J in J
22.382 * [backup-simplify]: Simplify 0 into 0
22.382 * [backup-simplify]: Simplify 1 into 1
22.382 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
22.382 * [taylor]: Taking taylor expansion of (pow U 2) in J
22.382 * [taylor]: Taking taylor expansion of U in J
22.382 * [backup-simplify]: Simplify U into U
22.382 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
22.382 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.382 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.382 * [taylor]: Taking taylor expansion of 1/2 in J
22.382 * [backup-simplify]: Simplify 1/2 into 1/2
22.382 * [taylor]: Taking taylor expansion of K in J
22.382 * [backup-simplify]: Simplify K into K
22.382 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.382 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.382 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.382 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.382 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.383 * [backup-simplify]: Simplify (- 0) into 0
22.383 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.383 * [backup-simplify]: Simplify (* 1 1) into 1
22.383 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.383 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.383 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
22.383 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
22.384 * [backup-simplify]: Simplify (+ 0 1) into 1
22.384 * [backup-simplify]: Simplify (+ 1 0) into 1
22.384 * [backup-simplify]: Simplify (sqrt 1) into 1
22.384 * [backup-simplify]: Simplify (+ 0 0) into 0
22.385 * [backup-simplify]: Simplify (+ 0 0) into 0
22.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.385 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
22.385 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
22.385 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
22.385 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
22.385 * [taylor]: Taking taylor expansion of 1/16 in U
22.385 * [backup-simplify]: Simplify 1/16 into 1/16
22.385 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
22.385 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.385 * [taylor]: Taking taylor expansion of J in U
22.385 * [backup-simplify]: Simplify J into J
22.385 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
22.385 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.385 * [taylor]: Taking taylor expansion of U in U
22.385 * [backup-simplify]: Simplify 0 into 0
22.385 * [backup-simplify]: Simplify 1 into 1
22.385 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
22.385 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.385 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.385 * [taylor]: Taking taylor expansion of 1/2 in U
22.385 * [backup-simplify]: Simplify 1/2 into 1/2
22.385 * [taylor]: Taking taylor expansion of K in U
22.385 * [backup-simplify]: Simplify K into K
22.385 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.386 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.386 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.386 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.386 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.386 * [backup-simplify]: Simplify (- 0) into 0
22.386 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.386 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.386 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.386 * [backup-simplify]: Simplify (* 1 1) into 1
22.387 * [backup-simplify]: Simplify (* 1 1) into 1
22.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.387 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.387 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
22.387 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
22.387 * [taylor]: Taking taylor expansion of 1 in U
22.387 * [backup-simplify]: Simplify 1 into 1
22.387 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
22.387 * [taylor]: Taking taylor expansion of 1/4 in U
22.387 * [backup-simplify]: Simplify 1/4 into 1/4
22.387 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
22.387 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.387 * [taylor]: Taking taylor expansion of J in U
22.387 * [backup-simplify]: Simplify J into J
22.387 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
22.387 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.387 * [taylor]: Taking taylor expansion of U in U
22.387 * [backup-simplify]: Simplify 0 into 0
22.387 * [backup-simplify]: Simplify 1 into 1
22.387 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
22.387 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.387 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.387 * [taylor]: Taking taylor expansion of 1/2 in U
22.387 * [backup-simplify]: Simplify 1/2 into 1/2
22.387 * [taylor]: Taking taylor expansion of K in U
22.387 * [backup-simplify]: Simplify K into K
22.387 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.387 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.387 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.388 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.388 * [backup-simplify]: Simplify (- 0) into 0
22.388 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.388 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.388 * [backup-simplify]: Simplify (* 1 1) into 1
22.388 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.388 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
22.388 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
22.389 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.389 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.389 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.389 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
22.389 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.389 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.390 * [backup-simplify]: Simplify (+ 0) into 0
22.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.390 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.392 * [backup-simplify]: Simplify (- 0) into 0
22.392 * [backup-simplify]: Simplify (+ 0 0) into 0
22.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.393 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
22.395 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.396 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
22.396 * [backup-simplify]: Simplify (+ 0 0) into 0
22.396 * [backup-simplify]: Simplify (+ 0 0) into 0
22.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
22.397 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
22.397 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
22.397 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
22.397 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
22.397 * [taylor]: Taking taylor expansion of 1/16 in U
22.397 * [backup-simplify]: Simplify 1/16 into 1/16
22.397 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
22.397 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.397 * [taylor]: Taking taylor expansion of J in U
22.397 * [backup-simplify]: Simplify J into J
22.397 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
22.397 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.397 * [taylor]: Taking taylor expansion of U in U
22.397 * [backup-simplify]: Simplify 0 into 0
22.397 * [backup-simplify]: Simplify 1 into 1
22.397 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
22.397 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.397 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.397 * [taylor]: Taking taylor expansion of 1/2 in U
22.397 * [backup-simplify]: Simplify 1/2 into 1/2
22.397 * [taylor]: Taking taylor expansion of K in U
22.397 * [backup-simplify]: Simplify K into K
22.397 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.397 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.397 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.397 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.398 * [backup-simplify]: Simplify (- 0) into 0
22.398 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.398 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.398 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.399 * [backup-simplify]: Simplify (* 1 1) into 1
22.399 * [backup-simplify]: Simplify (* 1 1) into 1
22.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.399 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
22.399 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
22.399 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
22.400 * [taylor]: Taking taylor expansion of 1 in U
22.400 * [backup-simplify]: Simplify 1 into 1
22.400 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
22.400 * [taylor]: Taking taylor expansion of 1/4 in U
22.400 * [backup-simplify]: Simplify 1/4 into 1/4
22.400 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
22.400 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.400 * [taylor]: Taking taylor expansion of J in U
22.400 * [backup-simplify]: Simplify J into J
22.400 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
22.400 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.400 * [taylor]: Taking taylor expansion of U in U
22.400 * [backup-simplify]: Simplify 0 into 0
22.400 * [backup-simplify]: Simplify 1 into 1
22.400 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
22.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.400 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.400 * [taylor]: Taking taylor expansion of 1/2 in U
22.400 * [backup-simplify]: Simplify 1/2 into 1/2
22.400 * [taylor]: Taking taylor expansion of K in U
22.400 * [backup-simplify]: Simplify K into K
22.400 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.400 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.400 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.400 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.401 * [backup-simplify]: Simplify (- 0) into 0
22.401 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.401 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.401 * [backup-simplify]: Simplify (* 1 1) into 1
22.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.402 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
22.402 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
22.402 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.402 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.403 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
22.403 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
22.403 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.403 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.403 * [backup-simplify]: Simplify (+ 0) into 0
22.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.404 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.405 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.406 * [backup-simplify]: Simplify (- 0) into 0
22.406 * [backup-simplify]: Simplify (+ 0 0) into 0
22.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.406 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
22.409 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.409 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
22.409 * [backup-simplify]: Simplify (+ 0 0) into 0
22.410 * [backup-simplify]: Simplify (+ 0 0) into 0
22.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
22.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
22.410 * [taylor]: Taking taylor expansion of 1/4 in J
22.410 * [backup-simplify]: Simplify 1/4 into 1/4
22.410 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
22.410 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.410 * [taylor]: Taking taylor expansion of J in J
22.410 * [backup-simplify]: Simplify 0 into 0
22.410 * [backup-simplify]: Simplify 1 into 1
22.410 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
22.410 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.410 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.411 * [taylor]: Taking taylor expansion of 1/2 in J
22.411 * [backup-simplify]: Simplify 1/2 into 1/2
22.411 * [taylor]: Taking taylor expansion of K in J
22.411 * [backup-simplify]: Simplify K into K
22.411 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.411 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.411 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.411 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.411 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.412 * [backup-simplify]: Simplify (- 0) into 0
22.412 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.412 * [backup-simplify]: Simplify (* 1 1) into 1
22.412 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.412 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
22.412 * [taylor]: Taking taylor expansion of 0 in J
22.412 * [backup-simplify]: Simplify 0 into 0
22.412 * [taylor]: Taking taylor expansion of 0 in K
22.412 * [backup-simplify]: Simplify 0 into 0
22.412 * [backup-simplify]: Simplify 0 into 0
22.413 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.413 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.415 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.417 * [backup-simplify]: Simplify (- 0) into 0
22.417 * [backup-simplify]: Simplify (+ 0 0) into 0
22.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
22.419 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
22.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
22.422 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.423 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
22.423 * [backup-simplify]: Simplify (+ 0 0) into 0
22.423 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
22.424 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
22.424 * [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))))
22.425 * [backup-simplify]: Simplify (/ (- (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into -1/2
22.425 * [taylor]: Taking taylor expansion of -1/2 in J
22.426 * [backup-simplify]: Simplify -1/2 into -1/2
22.426 * [taylor]: Taking taylor expansion of -1/2 in K
22.426 * [backup-simplify]: Simplify -1/2 into -1/2
22.426 * [backup-simplify]: Simplify -1/2 into -1/2
22.426 * [taylor]: Taking taylor expansion of 0 in K
22.426 * [backup-simplify]: Simplify 0 into 0
22.426 * [backup-simplify]: Simplify 0 into 0
22.426 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
22.426 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
22.426 * [taylor]: Taking taylor expansion of 1/4 in K
22.426 * [backup-simplify]: Simplify 1/4 into 1/4
22.426 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
22.426 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
22.426 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
22.426 * [taylor]: Taking taylor expansion of 1/2 in K
22.426 * [backup-simplify]: Simplify 1/2 into 1/2
22.426 * [taylor]: Taking taylor expansion of K in K
22.426 * [backup-simplify]: Simplify 0 into 0
22.426 * [backup-simplify]: Simplify 1 into 1
22.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
22.427 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.427 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.427 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
22.427 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
22.427 * [backup-simplify]: Simplify 0 into 0
22.428 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.429 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.430 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.430 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.433 * [backup-simplify]: Simplify (- 0) into 0
22.433 * [backup-simplify]: Simplify (+ 0 0) into 0
22.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
22.435 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
22.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.439 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
22.444 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
22.445 * [backup-simplify]: Simplify (+ 0 0) into 0
22.445 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.445 * [backup-simplify]: Simplify (+ 0) into 0
22.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.446 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.447 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.448 * [backup-simplify]: Simplify (- 0) into 0
22.448 * [backup-simplify]: Simplify (+ 0 0) into 0
22.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.450 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
22.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
22.451 * [backup-simplify]: Simplify (- 0) into 0
22.451 * [backup-simplify]: Simplify (+ 0 0) into 0
22.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
22.452 * [taylor]: Taking taylor expansion of 0 in J
22.452 * [backup-simplify]: Simplify 0 into 0
22.452 * [taylor]: Taking taylor expansion of 0 in K
22.452 * [backup-simplify]: Simplify 0 into 0
22.452 * [backup-simplify]: Simplify 0 into 0
22.452 * [taylor]: Taking taylor expansion of 0 in K
22.452 * [backup-simplify]: Simplify 0 into 0
22.452 * [backup-simplify]: Simplify 0 into 0
22.452 * [taylor]: Taking taylor expansion of 0 in K
22.453 * [backup-simplify]: Simplify 0 into 0
22.453 * [backup-simplify]: Simplify 0 into 0
22.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.454 * [backup-simplify]: Simplify (+ 0) into 0
22.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.456 * [backup-simplify]: Simplify (- 0) into 0
22.456 * [backup-simplify]: Simplify (+ 0 0) into 0
22.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.456 * [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
22.457 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
22.457 * [taylor]: Taking taylor expansion of 0 in K
22.457 * [backup-simplify]: Simplify 0 into 0
22.457 * [backup-simplify]: Simplify 0 into 0
22.457 * [backup-simplify]: Simplify 0 into 0
22.458 * [backup-simplify]: Simplify (+ (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) -1/2) into (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
22.460 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
22.460 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
22.460 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
22.460 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
22.460 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
22.460 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
22.460 * [taylor]: Taking taylor expansion of 1/16 in K
22.460 * [backup-simplify]: Simplify 1/16 into 1/16
22.460 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
22.460 * [taylor]: Taking taylor expansion of (pow J 4) in K
22.460 * [taylor]: Taking taylor expansion of J in K
22.460 * [backup-simplify]: Simplify J into J
22.460 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
22.460 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
22.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
22.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
22.460 * [taylor]: Taking taylor expansion of -1/2 in K
22.460 * [backup-simplify]: Simplify -1/2 into -1/2
22.460 * [taylor]: Taking taylor expansion of K in K
22.461 * [backup-simplify]: Simplify 0 into 0
22.461 * [backup-simplify]: Simplify 1 into 1
22.461 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
22.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.461 * [taylor]: Taking taylor expansion of (pow U 4) in K
22.461 * [taylor]: Taking taylor expansion of U in K
22.461 * [backup-simplify]: Simplify U into U
22.461 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.461 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.462 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.462 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.462 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.462 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
22.462 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
22.462 * [taylor]: Taking taylor expansion of 1 in K
22.462 * [backup-simplify]: Simplify 1 into 1
22.462 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
22.462 * [taylor]: Taking taylor expansion of 1/4 in K
22.462 * [backup-simplify]: Simplify 1/4 into 1/4
22.462 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
22.463 * [taylor]: Taking taylor expansion of (pow J 2) in K
22.463 * [taylor]: Taking taylor expansion of J in K
22.463 * [backup-simplify]: Simplify J into J
22.463 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
22.463 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
22.463 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
22.463 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
22.463 * [taylor]: Taking taylor expansion of -1/2 in K
22.463 * [backup-simplify]: Simplify -1/2 into -1/2
22.463 * [taylor]: Taking taylor expansion of K in K
22.463 * [backup-simplify]: Simplify 0 into 0
22.463 * [backup-simplify]: Simplify 1 into 1
22.463 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
22.463 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.463 * [taylor]: Taking taylor expansion of (pow U 2) in K
22.463 * [taylor]: Taking taylor expansion of U in K
22.463 * [backup-simplify]: Simplify U into U
22.464 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.464 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.464 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
22.464 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
22.464 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) into (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))
22.465 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1)
22.465 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
22.465 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
22.466 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
22.467 * [backup-simplify]: Simplify (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
22.467 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.467 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.467 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.467 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
22.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.468 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.468 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 (pow U 4))) into 0
22.469 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (+ (* (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))) into 0
22.469 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))) into 0
22.470 * [backup-simplify]: Simplify (+ 0 0) into 0
22.470 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.470 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.470 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
22.471 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
22.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
22.472 * [backup-simplify]: Simplify (- 0) into 0
22.472 * [backup-simplify]: Simplify (+ 0 0) into 0
22.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
22.473 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
22.473 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
22.473 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
22.473 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
22.474 * [taylor]: Taking taylor expansion of 1/16 in J
22.474 * [backup-simplify]: Simplify 1/16 into 1/16
22.474 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
22.474 * [taylor]: Taking taylor expansion of (pow J 4) in J
22.474 * [taylor]: Taking taylor expansion of J in J
22.474 * [backup-simplify]: Simplify 0 into 0
22.474 * [backup-simplify]: Simplify 1 into 1
22.474 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
22.474 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
22.474 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.474 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.474 * [taylor]: Taking taylor expansion of -1/2 in J
22.474 * [backup-simplify]: Simplify -1/2 into -1/2
22.474 * [taylor]: Taking taylor expansion of K in J
22.474 * [backup-simplify]: Simplify K into K
22.474 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.474 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.474 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.474 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.475 * [backup-simplify]: Simplify (- 0) into 0
22.475 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.475 * [taylor]: Taking taylor expansion of (pow U 4) in J
22.475 * [taylor]: Taking taylor expansion of U in J
22.475 * [backup-simplify]: Simplify U into U
22.476 * [backup-simplify]: Simplify (* 1 1) into 1
22.476 * [backup-simplify]: Simplify (* 1 1) into 1
22.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.476 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.476 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.476 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
22.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
22.477 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
22.477 * [taylor]: Taking taylor expansion of 1 in J
22.477 * [backup-simplify]: Simplify 1 into 1
22.477 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
22.477 * [taylor]: Taking taylor expansion of 1/4 in J
22.477 * [backup-simplify]: Simplify 1/4 into 1/4
22.477 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
22.477 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.477 * [taylor]: Taking taylor expansion of J in J
22.477 * [backup-simplify]: Simplify 0 into 0
22.477 * [backup-simplify]: Simplify 1 into 1
22.477 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
22.477 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
22.477 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.477 * [taylor]: Taking taylor expansion of -1/2 in J
22.477 * [backup-simplify]: Simplify -1/2 into -1/2
22.477 * [taylor]: Taking taylor expansion of K in J
22.477 * [backup-simplify]: Simplify K into K
22.477 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.477 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.478 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.478 * [backup-simplify]: Simplify (- 0) into 0
22.478 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.478 * [taylor]: Taking taylor expansion of (pow U 2) in J
22.478 * [taylor]: Taking taylor expansion of U in J
22.478 * [backup-simplify]: Simplify U into U
22.479 * [backup-simplify]: Simplify (* 1 1) into 1
22.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.479 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.479 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
22.479 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
22.480 * [backup-simplify]: Simplify (+ 0 1) into 1
22.480 * [backup-simplify]: Simplify (+ 1 0) into 1
22.480 * [backup-simplify]: Simplify (sqrt 1) into 1
22.481 * [backup-simplify]: Simplify (+ 0 0) into 0
22.481 * [backup-simplify]: Simplify (+ 0 0) into 0
22.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.482 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
22.482 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
22.482 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
22.482 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
22.482 * [taylor]: Taking taylor expansion of 1/16 in U
22.482 * [backup-simplify]: Simplify 1/16 into 1/16
22.482 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
22.482 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.482 * [taylor]: Taking taylor expansion of J in U
22.482 * [backup-simplify]: Simplify J into J
22.482 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
22.482 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
22.482 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.482 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.482 * [taylor]: Taking taylor expansion of -1/2 in U
22.482 * [backup-simplify]: Simplify -1/2 into -1/2
22.482 * [taylor]: Taking taylor expansion of K in U
22.482 * [backup-simplify]: Simplify K into K
22.483 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.483 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.483 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.483 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.483 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.483 * [backup-simplify]: Simplify (- 0) into 0
22.483 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.483 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.483 * [taylor]: Taking taylor expansion of U in U
22.483 * [backup-simplify]: Simplify 0 into 0
22.483 * [backup-simplify]: Simplify 1 into 1
22.484 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.484 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.484 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.484 * [backup-simplify]: Simplify (* 1 1) into 1
22.485 * [backup-simplify]: Simplify (* 1 1) into 1
22.485 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
22.485 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
22.485 * [taylor]: Taking taylor expansion of 1 in U
22.485 * [backup-simplify]: Simplify 1 into 1
22.485 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
22.485 * [taylor]: Taking taylor expansion of 1/4 in U
22.485 * [backup-simplify]: Simplify 1/4 into 1/4
22.485 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
22.485 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.485 * [taylor]: Taking taylor expansion of J in U
22.485 * [backup-simplify]: Simplify J into J
22.485 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
22.485 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
22.485 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.485 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.485 * [taylor]: Taking taylor expansion of -1/2 in U
22.485 * [backup-simplify]: Simplify -1/2 into -1/2
22.485 * [taylor]: Taking taylor expansion of K in U
22.486 * [backup-simplify]: Simplify K into K
22.486 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.486 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.486 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.486 * [backup-simplify]: Simplify (- 0) into 0
22.486 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.486 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.486 * [taylor]: Taking taylor expansion of U in U
22.486 * [backup-simplify]: Simplify 0 into 0
22.486 * [backup-simplify]: Simplify 1 into 1
22.487 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.487 * [backup-simplify]: Simplify (* 1 1) into 1
22.487 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.487 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
22.488 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.488 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.488 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.488 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.488 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.489 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.490 * [backup-simplify]: Simplify (+ 0) into 0
22.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.493 * [backup-simplify]: Simplify (- 0) into 0
22.493 * [backup-simplify]: Simplify (+ 0 0) into 0
22.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.493 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
22.494 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.495 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
22.495 * [backup-simplify]: Simplify (+ 0 0) into 0
22.496 * [backup-simplify]: Simplify (+ 0 0) into 0
22.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
22.496 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
22.496 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
22.496 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
22.496 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
22.496 * [taylor]: Taking taylor expansion of 1/16 in U
22.496 * [backup-simplify]: Simplify 1/16 into 1/16
22.496 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
22.496 * [taylor]: Taking taylor expansion of (pow J 4) in U
22.496 * [taylor]: Taking taylor expansion of J in U
22.496 * [backup-simplify]: Simplify J into J
22.496 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
22.496 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
22.496 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.496 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.496 * [taylor]: Taking taylor expansion of -1/2 in U
22.496 * [backup-simplify]: Simplify -1/2 into -1/2
22.496 * [taylor]: Taking taylor expansion of K in U
22.496 * [backup-simplify]: Simplify K into K
22.497 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.497 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.497 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.497 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.497 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.497 * [backup-simplify]: Simplify (- 0) into 0
22.497 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.497 * [taylor]: Taking taylor expansion of (pow U 4) in U
22.497 * [taylor]: Taking taylor expansion of U in U
22.497 * [backup-simplify]: Simplify 0 into 0
22.497 * [backup-simplify]: Simplify 1 into 1
22.497 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.498 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
22.498 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.498 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
22.498 * [backup-simplify]: Simplify (* 1 1) into 1
22.499 * [backup-simplify]: Simplify (* 1 1) into 1
22.499 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
22.499 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
22.499 * [taylor]: Taking taylor expansion of 1 in U
22.499 * [backup-simplify]: Simplify 1 into 1
22.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
22.499 * [taylor]: Taking taylor expansion of 1/4 in U
22.499 * [backup-simplify]: Simplify 1/4 into 1/4
22.499 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
22.499 * [taylor]: Taking taylor expansion of (pow J 2) in U
22.499 * [taylor]: Taking taylor expansion of J in U
22.499 * [backup-simplify]: Simplify J into J
22.499 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
22.499 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
22.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.499 * [taylor]: Taking taylor expansion of -1/2 in U
22.499 * [backup-simplify]: Simplify -1/2 into -1/2
22.499 * [taylor]: Taking taylor expansion of K in U
22.499 * [backup-simplify]: Simplify K into K
22.499 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.500 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.500 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.500 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.500 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.500 * [backup-simplify]: Simplify (- 0) into 0
22.500 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.500 * [taylor]: Taking taylor expansion of (pow U 2) in U
22.500 * [taylor]: Taking taylor expansion of U in U
22.500 * [backup-simplify]: Simplify 0 into 0
22.500 * [backup-simplify]: Simplify 1 into 1
22.500 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.501 * [backup-simplify]: Simplify (* 1 1) into 1
22.501 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
22.501 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
22.501 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.502 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.502 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
22.502 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.502 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.502 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
22.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.504 * [backup-simplify]: Simplify (+ 0) into 0
22.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.506 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.506 * [backup-simplify]: Simplify (- 0) into 0
22.507 * [backup-simplify]: Simplify (+ 0 0) into 0
22.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.507 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.508 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
22.508 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.509 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
22.509 * [backup-simplify]: Simplify (+ 0 0) into 0
22.510 * [backup-simplify]: Simplify (+ 0 0) into 0
22.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
22.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
22.510 * [taylor]: Taking taylor expansion of 1/4 in J
22.510 * [backup-simplify]: Simplify 1/4 into 1/4
22.510 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
22.510 * [taylor]: Taking taylor expansion of (pow J 2) in J
22.510 * [taylor]: Taking taylor expansion of J in J
22.510 * [backup-simplify]: Simplify 0 into 0
22.510 * [backup-simplify]: Simplify 1 into 1
22.510 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
22.510 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.510 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.510 * [taylor]: Taking taylor expansion of -1/2 in J
22.510 * [backup-simplify]: Simplify -1/2 into -1/2
22.510 * [taylor]: Taking taylor expansion of K in J
22.510 * [backup-simplify]: Simplify K into K
22.510 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.511 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.511 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.511 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.511 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.511 * [backup-simplify]: Simplify (- 0) into 0
22.511 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.512 * [backup-simplify]: Simplify (* 1 1) into 1
22.512 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.512 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
22.512 * [taylor]: Taking taylor expansion of 0 in J
22.512 * [backup-simplify]: Simplify 0 into 0
22.512 * [taylor]: Taking taylor expansion of 0 in K
22.512 * [backup-simplify]: Simplify 0 into 0
22.512 * [backup-simplify]: Simplify 0 into 0
22.513 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.514 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.519 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.519 * [backup-simplify]: Simplify (- 0) into 0
22.520 * [backup-simplify]: Simplify (+ 0 0) into 0
22.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
22.521 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
22.522 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
22.523 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.524 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
22.524 * [backup-simplify]: Simplify (+ 0 0) into 0
22.524 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
22.525 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
22.525 * [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))))
22.527 * [backup-simplify]: Simplify (/ (- (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into -1/2
22.527 * [taylor]: Taking taylor expansion of -1/2 in J
22.527 * [backup-simplify]: Simplify -1/2 into -1/2
22.527 * [taylor]: Taking taylor expansion of -1/2 in K
22.527 * [backup-simplify]: Simplify -1/2 into -1/2
22.527 * [backup-simplify]: Simplify -1/2 into -1/2
22.527 * [taylor]: Taking taylor expansion of 0 in K
22.527 * [backup-simplify]: Simplify 0 into 0
22.527 * [backup-simplify]: Simplify 0 into 0
22.527 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
22.527 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
22.527 * [taylor]: Taking taylor expansion of 1/4 in K
22.528 * [backup-simplify]: Simplify 1/4 into 1/4
22.528 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
22.528 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
22.528 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
22.528 * [taylor]: Taking taylor expansion of -1/2 in K
22.528 * [backup-simplify]: Simplify -1/2 into -1/2
22.528 * [taylor]: Taking taylor expansion of K in K
22.528 * [backup-simplify]: Simplify 0 into 0
22.528 * [backup-simplify]: Simplify 1 into 1
22.528 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
22.528 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.529 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
22.529 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
22.529 * [backup-simplify]: Simplify 0 into 0
22.530 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.531 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.538 * [backup-simplify]: Simplify (- 0) into 0
22.539 * [backup-simplify]: Simplify (+ 0 0) into 0
22.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
22.541 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.542 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.543 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
22.544 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
22.545 * [backup-simplify]: Simplify (+ 0 0) into 0
22.545 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.546 * [backup-simplify]: Simplify (+ 0) into 0
22.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.547 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.549 * [backup-simplify]: Simplify (- 0) into 0
22.549 * [backup-simplify]: Simplify (+ 0 0) into 0
22.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.550 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
22.550 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.551 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
22.551 * [backup-simplify]: Simplify (- 0) into 0
22.551 * [backup-simplify]: Simplify (+ 0 0) into 0
22.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
22.553 * [taylor]: Taking taylor expansion of 0 in J
22.553 * [backup-simplify]: Simplify 0 into 0
22.553 * [taylor]: Taking taylor expansion of 0 in K
22.553 * [backup-simplify]: Simplify 0 into 0
22.553 * [backup-simplify]: Simplify 0 into 0
22.553 * [taylor]: Taking taylor expansion of 0 in K
22.553 * [backup-simplify]: Simplify 0 into 0
22.553 * [backup-simplify]: Simplify 0 into 0
22.553 * [taylor]: Taking taylor expansion of 0 in K
22.553 * [backup-simplify]: Simplify 0 into 0
22.553 * [backup-simplify]: Simplify 0 into 0
22.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.554 * [backup-simplify]: Simplify (+ 0) into 0
22.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.557 * [backup-simplify]: Simplify (- 0) into 0
22.557 * [backup-simplify]: Simplify (+ 0 0) into 0
22.557 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.557 * [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
22.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
22.558 * [taylor]: Taking taylor expansion of 0 in K
22.558 * [backup-simplify]: Simplify 0 into 0
22.558 * [backup-simplify]: Simplify 0 into 0
22.558 * [backup-simplify]: Simplify 0 into 0
22.559 * [backup-simplify]: Simplify (+ (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) -1/2) into (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
22.559 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
22.560 * [backup-simplify]: Simplify (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) into (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1))
22.560 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in (U J K) around 0
22.560 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in K
22.560 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in K
22.560 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in K
22.560 * [taylor]: Taking taylor expansion of 1/64 in K
22.560 * [backup-simplify]: Simplify 1/64 into 1/64
22.560 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in K
22.560 * [taylor]: Taking taylor expansion of (pow U 6) in K
22.560 * [taylor]: Taking taylor expansion of U in K
22.560 * [backup-simplify]: Simplify U into U
22.560 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in K
22.560 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in K
22.560 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
22.560 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
22.561 * [taylor]: Taking taylor expansion of 1/2 in K
22.561 * [backup-simplify]: Simplify 1/2 into 1/2
22.561 * [taylor]: Taking taylor expansion of K in K
22.561 * [backup-simplify]: Simplify 0 into 0
22.561 * [backup-simplify]: Simplify 1 into 1
22.561 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.562 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.562 * [taylor]: Taking taylor expansion of (pow J 6) in K
22.562 * [taylor]: Taking taylor expansion of J in K
22.562 * [backup-simplify]: Simplify J into J
22.562 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.562 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
22.562 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
22.563 * [backup-simplify]: Simplify (* 1 1) into 1
22.563 * [backup-simplify]: Simplify (* 1 1) into 1
22.563 * [backup-simplify]: Simplify (* 1 1) into 1
22.564 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.564 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.564 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.564 * [backup-simplify]: Simplify (* 1 (pow J 6)) into (pow J 6)
22.564 * [backup-simplify]: Simplify (/ (pow U 6) (pow J 6)) into (/ (pow U 6) (pow J 6))
22.564 * [taylor]: Taking taylor expansion of 1 in K
22.564 * [backup-simplify]: Simplify 1 into 1
22.564 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow J 6))) into (* 1/64 (/ (pow U 6) (pow J 6)))
22.564 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) into (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)
22.565 * [backup-simplify]: Simplify (sqrt (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)) into (sqrt (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1))
22.565 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.565 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
22.565 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
22.565 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.565 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.565 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.566 * [backup-simplify]: Simplify (+ 0) into 0
22.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 6))) into 0
22.569 * [backup-simplify]: Simplify (- (/ 0 (pow J 6)) (+ (* (/ (pow U 6) (pow J 6)) (/ 0 (pow J 6))))) into 0
22.569 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow J 6)))) into 0
22.570 * [backup-simplify]: Simplify (+ 0 0) into 0
22.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)))) into 0
22.570 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in J
22.570 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in J
22.570 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in J
22.570 * [taylor]: Taking taylor expansion of 1/64 in J
22.570 * [backup-simplify]: Simplify 1/64 into 1/64
22.570 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in J
22.570 * [taylor]: Taking taylor expansion of (pow U 6) in J
22.570 * [taylor]: Taking taylor expansion of U in J
22.570 * [backup-simplify]: Simplify U into U
22.570 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in J
22.570 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in J
22.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
22.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
22.570 * [taylor]: Taking taylor expansion of 1/2 in J
22.570 * [backup-simplify]: Simplify 1/2 into 1/2
22.570 * [taylor]: Taking taylor expansion of K in J
22.570 * [backup-simplify]: Simplify K into K
22.570 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.571 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.571 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.571 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.571 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.571 * [backup-simplify]: Simplify (- 0) into 0
22.571 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.571 * [taylor]: Taking taylor expansion of (pow J 6) in J
22.571 * [taylor]: Taking taylor expansion of J in J
22.571 * [backup-simplify]: Simplify 0 into 0
22.571 * [backup-simplify]: Simplify 1 into 1
22.571 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.571 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
22.572 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
22.572 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.572 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
22.572 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
22.572 * [backup-simplify]: Simplify (* 1 1) into 1
22.573 * [backup-simplify]: Simplify (* 1 1) into 1
22.573 * [backup-simplify]: Simplify (* 1 1) into 1
22.573 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) 1) into (pow (cos (* 1/2 K)) 6)
22.573 * [backup-simplify]: Simplify (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) into (/ (pow U 6) (pow (cos (* 1/2 K)) 6))
22.573 * [taylor]: Taking taylor expansion of 1 in J
22.573 * [backup-simplify]: Simplify 1 into 1
22.574 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
22.574 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) 0) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
22.574 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into (* 1/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))
22.574 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.574 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
22.574 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
22.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.577 * [backup-simplify]: Simplify (+ 0) into 0
22.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
22.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
22.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.579 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
22.579 * [backup-simplify]: Simplify (- 0) into 0
22.580 * [backup-simplify]: Simplify (+ 0 0) into 0
22.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
22.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
22.580 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 3) 0) (* 0 (pow (cos (* 1/2 K)) 3))) into 0
22.581 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 6) 0) (* 0 1)) into 0
22.581 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 6)) (+ (* (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) (/ 0 (pow (cos (* 1/2 K)) 6))))) into 0
22.582 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into 0
22.582 * [backup-simplify]: Simplify (+ 0 0) into 0
22.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))))) into 0
22.582 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in U
22.582 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
22.582 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
22.582 * [taylor]: Taking taylor expansion of 1/64 in U
22.582 * [backup-simplify]: Simplify 1/64 into 1/64
22.582 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
22.582 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.583 * [taylor]: Taking taylor expansion of U in U
22.583 * [backup-simplify]: Simplify 0 into 0
22.583 * [backup-simplify]: Simplify 1 into 1
22.583 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
22.583 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
22.583 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.583 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.583 * [taylor]: Taking taylor expansion of 1/2 in U
22.583 * [backup-simplify]: Simplify 1/2 into 1/2
22.583 * [taylor]: Taking taylor expansion of K in U
22.583 * [backup-simplify]: Simplify K into K
22.583 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.583 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.583 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.583 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.583 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.583 * [backup-simplify]: Simplify (- 0) into 0
22.584 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.584 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.584 * [taylor]: Taking taylor expansion of J in U
22.584 * [backup-simplify]: Simplify J into J
22.584 * [backup-simplify]: Simplify (* 1 1) into 1
22.584 * [backup-simplify]: Simplify (* 1 1) into 1
22.585 * [backup-simplify]: Simplify (* 1 1) into 1
22.585 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.585 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
22.586 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
22.586 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.586 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.586 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.586 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
22.586 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
22.586 * [taylor]: Taking taylor expansion of 1 in U
22.586 * [backup-simplify]: Simplify 1 into 1
22.587 * [backup-simplify]: Simplify (+ 0 1) into 1
22.587 * [backup-simplify]: Simplify (sqrt 1) into 1
22.587 * [backup-simplify]: Simplify (+ 0 0) into 0
22.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in U
22.588 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
22.588 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
22.588 * [taylor]: Taking taylor expansion of 1/64 in U
22.588 * [backup-simplify]: Simplify 1/64 into 1/64
22.588 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
22.588 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.588 * [taylor]: Taking taylor expansion of U in U
22.589 * [backup-simplify]: Simplify 0 into 0
22.589 * [backup-simplify]: Simplify 1 into 1
22.589 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
22.589 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
22.589 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
22.589 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
22.589 * [taylor]: Taking taylor expansion of 1/2 in U
22.589 * [backup-simplify]: Simplify 1/2 into 1/2
22.589 * [taylor]: Taking taylor expansion of K in U
22.589 * [backup-simplify]: Simplify K into K
22.589 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
22.589 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
22.589 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
22.589 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
22.589 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
22.590 * [backup-simplify]: Simplify (- 0) into 0
22.590 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
22.590 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.590 * [taylor]: Taking taylor expansion of J in U
22.590 * [backup-simplify]: Simplify J into J
22.590 * [backup-simplify]: Simplify (* 1 1) into 1
22.590 * [backup-simplify]: Simplify (* 1 1) into 1
22.591 * [backup-simplify]: Simplify (* 1 1) into 1
22.591 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
22.591 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
22.591 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
22.591 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.591 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.592 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.592 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
22.592 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
22.592 * [taylor]: Taking taylor expansion of 1 in U
22.592 * [backup-simplify]: Simplify 1 into 1
22.592 * [backup-simplify]: Simplify (+ 0 1) into 1
22.593 * [backup-simplify]: Simplify (sqrt 1) into 1
22.593 * [backup-simplify]: Simplify (+ 0 0) into 0
22.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.594 * [taylor]: Taking taylor expansion of 1 in J
22.594 * [backup-simplify]: Simplify 1 into 1
22.594 * [taylor]: Taking taylor expansion of 0 in J
22.594 * [backup-simplify]: Simplify 0 into 0
22.595 * [backup-simplify]: Simplify (+ 0 0) into 0
22.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0
22.596 * [taylor]: Taking taylor expansion of 0 in J
22.596 * [backup-simplify]: Simplify 0 into 0
22.596 * [backup-simplify]: Simplify (+ 0 0) into 0
22.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0
22.597 * [taylor]: Taking taylor expansion of 0 in J
22.597 * [backup-simplify]: Simplify 0 into 0
22.597 * [taylor]: Taking taylor expansion of 1 in K
22.597 * [backup-simplify]: Simplify 1 into 1
22.597 * [backup-simplify]: Simplify 1 into 1
22.597 * [backup-simplify]: Simplify (+ 0 0) into 0
22.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 0
22.598 * [taylor]: Taking taylor expansion of 0 in J
22.598 * [backup-simplify]: Simplify 0 into 0
22.598 * [taylor]: Taking taylor expansion of 0 in K
22.598 * [backup-simplify]: Simplify 0 into 0
22.598 * [backup-simplify]: Simplify 0 into 0
22.598 * [taylor]: Taking taylor expansion of 0 in K
22.598 * [backup-simplify]: Simplify 0 into 0
22.598 * [backup-simplify]: Simplify 0 into 0
22.598 * [backup-simplify]: Simplify 0 into 0
22.599 * [backup-simplify]: Simplify (+ 0 0) into 0
22.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 1)) into 0
22.603 * [taylor]: Taking taylor expansion of 0 in J
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [taylor]: Taking taylor expansion of 0 in K
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [taylor]: Taking taylor expansion of 0 in K
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [taylor]: Taking taylor expansion of 0 in K
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [backup-simplify]: Simplify 0 into 0
22.603 * [backup-simplify]: Simplify 1 into 1
22.604 * [backup-simplify]: Simplify (sqrt (+ 1 (* (* (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2)))) (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))))) (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))))))) into (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))
22.604 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in (U J K) around 0
22.604 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in K
22.604 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in K
22.604 * [taylor]: Taking taylor expansion of 1 in K
22.604 * [backup-simplify]: Simplify 1 into 1
22.604 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in K
22.604 * [taylor]: Taking taylor expansion of 1/64 in K
22.604 * [backup-simplify]: Simplify 1/64 into 1/64
22.604 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in K
22.604 * [taylor]: Taking taylor expansion of (pow J 6) in K
22.604 * [taylor]: Taking taylor expansion of J in K
22.604 * [backup-simplify]: Simplify J into J
22.604 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in K
22.604 * [taylor]: Taking taylor expansion of (pow U 6) in K
22.604 * [taylor]: Taking taylor expansion of U in K
22.604 * [backup-simplify]: Simplify U into U
22.604 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in K
22.604 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
22.604 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
22.604 * [taylor]: Taking taylor expansion of 1/2 in K
22.604 * [backup-simplify]: Simplify 1/2 into 1/2
22.604 * [taylor]: Taking taylor expansion of K in K
22.604 * [backup-simplify]: Simplify 0 into 0
22.604 * [backup-simplify]: Simplify 1 into 1
22.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
22.605 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.605 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.605 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.605 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.605 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.605 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
22.605 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
22.605 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.605 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
22.605 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
22.606 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
22.606 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
22.606 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))
22.606 * [backup-simplify]: Simplify (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))
22.606 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))
22.606 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.606 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.607 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.607 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
22.607 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.607 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
22.607 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
22.607 * [backup-simplify]: Simplify (+ (* (pow U 6) 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
22.607 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (+ (* (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
22.608 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into 0
22.608 * [backup-simplify]: Simplify (+ 0 0) into 0
22.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))))) into 0
22.609 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in J
22.609 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in J
22.609 * [taylor]: Taking taylor expansion of 1 in J
22.609 * [backup-simplify]: Simplify 1 into 1
22.609 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in J
22.609 * [taylor]: Taking taylor expansion of 1/64 in J
22.609 * [backup-simplify]: Simplify 1/64 into 1/64
22.609 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in J
22.609 * [taylor]: Taking taylor expansion of (pow J 6) in J
22.609 * [taylor]: Taking taylor expansion of J in J
22.609 * [backup-simplify]: Simplify 0 into 0
22.609 * [backup-simplify]: Simplify 1 into 1
22.609 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in J
22.609 * [taylor]: Taking taylor expansion of (pow U 6) in J
22.609 * [taylor]: Taking taylor expansion of U in J
22.609 * [backup-simplify]: Simplify U into U
22.609 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in J
22.609 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.609 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.609 * [taylor]: Taking taylor expansion of 1/2 in J
22.609 * [backup-simplify]: Simplify 1/2 into 1/2
22.609 * [taylor]: Taking taylor expansion of K in J
22.609 * [backup-simplify]: Simplify K into K
22.609 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.609 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.609 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.609 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.609 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.609 * [backup-simplify]: Simplify (- 0) into 0
22.610 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.610 * [backup-simplify]: Simplify (* 1 1) into 1
22.610 * [backup-simplify]: Simplify (* 1 1) into 1
22.610 * [backup-simplify]: Simplify (* 1 1) into 1
22.610 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.610 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
22.611 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
22.611 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.611 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
22.611 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
22.611 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
22.611 * [backup-simplify]: Simplify (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
22.611 * [backup-simplify]: Simplify (+ 1 0) into 1
22.612 * [backup-simplify]: Simplify (sqrt 1) into 1
22.612 * [backup-simplify]: Simplify (+ 0 0) into 0
22.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.612 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in U
22.612 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
22.613 * [taylor]: Taking taylor expansion of 1 in U
22.613 * [backup-simplify]: Simplify 1 into 1
22.613 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
22.613 * [taylor]: Taking taylor expansion of 1/64 in U
22.613 * [backup-simplify]: Simplify 1/64 into 1/64
22.613 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
22.613 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.613 * [taylor]: Taking taylor expansion of J in U
22.613 * [backup-simplify]: Simplify J into J
22.613 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
22.613 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.613 * [taylor]: Taking taylor expansion of U in U
22.613 * [backup-simplify]: Simplify 0 into 0
22.613 * [backup-simplify]: Simplify 1 into 1
22.613 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
22.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.613 * [taylor]: Taking taylor expansion of 1/2 in U
22.613 * [backup-simplify]: Simplify 1/2 into 1/2
22.613 * [taylor]: Taking taylor expansion of K in U
22.613 * [backup-simplify]: Simplify K into K
22.613 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.613 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.613 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.613 * [backup-simplify]: Simplify (- 0) into 0
22.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.614 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.614 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.614 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.614 * [backup-simplify]: Simplify (* 1 1) into 1
22.614 * [backup-simplify]: Simplify (* 1 1) into 1
22.615 * [backup-simplify]: Simplify (* 1 1) into 1
22.615 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.615 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
22.616 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
22.616 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
22.616 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
22.616 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
22.616 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
22.616 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))
22.616 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.617 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.617 * [backup-simplify]: Simplify (+ 0) into 0
22.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.618 * [backup-simplify]: Simplify (- 0) into 0
22.619 * [backup-simplify]: Simplify (+ 0 0) into 0
22.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.619 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
22.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
22.621 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
22.621 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
22.622 * [backup-simplify]: Simplify (+ 0 0) into 0
22.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
22.622 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in U
22.622 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
22.622 * [taylor]: Taking taylor expansion of 1 in U
22.622 * [backup-simplify]: Simplify 1 into 1
22.622 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
22.622 * [taylor]: Taking taylor expansion of 1/64 in U
22.622 * [backup-simplify]: Simplify 1/64 into 1/64
22.622 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
22.622 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.622 * [taylor]: Taking taylor expansion of J in U
22.622 * [backup-simplify]: Simplify J into J
22.622 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
22.622 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.622 * [taylor]: Taking taylor expansion of U in U
22.622 * [backup-simplify]: Simplify 0 into 0
22.622 * [backup-simplify]: Simplify 1 into 1
22.622 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
22.622 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
22.622 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
22.622 * [taylor]: Taking taylor expansion of 1/2 in U
22.622 * [backup-simplify]: Simplify 1/2 into 1/2
22.622 * [taylor]: Taking taylor expansion of K in U
22.622 * [backup-simplify]: Simplify K into K
22.622 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.622 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.622 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.622 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.622 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.623 * [backup-simplify]: Simplify (- 0) into 0
22.623 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.623 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.623 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.623 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.623 * [backup-simplify]: Simplify (* 1 1) into 1
22.623 * [backup-simplify]: Simplify (* 1 1) into 1
22.624 * [backup-simplify]: Simplify (* 1 1) into 1
22.624 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.624 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
22.624 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
22.624 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
22.624 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
22.624 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
22.624 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
22.624 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))
22.624 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.625 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.625 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.625 * [backup-simplify]: Simplify (+ 0) into 0
22.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
22.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
22.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
22.626 * [backup-simplify]: Simplify (- 0) into 0
22.627 * [backup-simplify]: Simplify (+ 0 0) into 0
22.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
22.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
22.627 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
22.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
22.629 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
22.629 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
22.629 * [backup-simplify]: Simplify (+ 0 0) into 0
22.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
22.630 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J
22.630 * [taylor]: Taking taylor expansion of 1/8 in J
22.630 * [backup-simplify]: Simplify 1/8 into 1/8
22.630 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J
22.630 * [taylor]: Taking taylor expansion of (pow J 3) in J
22.630 * [taylor]: Taking taylor expansion of J in J
22.630 * [backup-simplify]: Simplify 0 into 0
22.630 * [backup-simplify]: Simplify 1 into 1
22.630 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J
22.630 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
22.630 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
22.630 * [taylor]: Taking taylor expansion of 1/2 in J
22.630 * [backup-simplify]: Simplify 1/2 into 1/2
22.630 * [taylor]: Taking taylor expansion of K in J
22.630 * [backup-simplify]: Simplify K into K
22.630 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
22.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
22.630 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
22.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
22.630 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
22.630 * [backup-simplify]: Simplify (- 0) into 0
22.631 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
22.631 * [backup-simplify]: Simplify (* 1 1) into 1
22.631 * [backup-simplify]: Simplify (* 1 1) into 1
22.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
22.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
22.631 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3))
22.631 * [taylor]: Taking taylor expansion of 0 in J
22.631 * [backup-simplify]: Simplify 0 into 0
22.631 * [taylor]: Taking taylor expansion of 0 in K
22.631 * [backup-simplify]: Simplify 0 into 0
22.631 * [backup-simplify]: Simplify 0 into 0
22.632 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.632 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.632 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
22.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.633 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.635 * [backup-simplify]: Simplify (- 0) into 0
22.635 * [backup-simplify]: Simplify (+ 0 0) into 0
22.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
22.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
22.636 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3)))) into 0
22.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6)))) into 0
22.639 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
22.639 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))))) into 0
22.640 * [backup-simplify]: Simplify (+ 0 0) into 0
22.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) into 0
22.640 * [taylor]: Taking taylor expansion of 0 in J
22.640 * [backup-simplify]: Simplify 0 into 0
22.640 * [taylor]: Taking taylor expansion of 0 in K
22.640 * [backup-simplify]: Simplify 0 into 0
22.640 * [backup-simplify]: Simplify 0 into 0
22.640 * [taylor]: Taking taylor expansion of 0 in K
22.640 * [backup-simplify]: Simplify 0 into 0
22.640 * [backup-simplify]: Simplify 0 into 0
22.640 * [backup-simplify]: Simplify 0 into 0
22.641 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.642 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.642 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
22.643 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.645 * [backup-simplify]: Simplify (- 0) into 0
22.645 * [backup-simplify]: Simplify (+ 0 0) into 0
22.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
22.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
22.647 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3))))) into 0
22.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6))))) into 0
22.651 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
22.652 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
22.653 * [backup-simplify]: Simplify (+ 0 0) into 0
22.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) into 0
22.654 * [taylor]: Taking taylor expansion of 0 in J
22.654 * [backup-simplify]: Simplify 0 into 0
22.654 * [taylor]: Taking taylor expansion of 0 in K
22.654 * [backup-simplify]: Simplify 0 into 0
22.654 * [backup-simplify]: Simplify 0 into 0
22.654 * [taylor]: Taking taylor expansion of 0 in K
22.654 * [backup-simplify]: Simplify 0 into 0
22.654 * [backup-simplify]: Simplify 0 into 0
22.654 * [backup-simplify]: Simplify 0 into 0
22.656 * [backup-simplify]: Simplify (sqrt (+ 1 (* (* (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) into (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))
22.656 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in (U J K) around 0
22.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in K
22.656 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in K
22.656 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in K
22.656 * [taylor]: Taking taylor expansion of 1/64 in K
22.656 * [backup-simplify]: Simplify 1/64 into 1/64
22.656 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in K
22.656 * [taylor]: Taking taylor expansion of (pow J 6) in K
22.656 * [taylor]: Taking taylor expansion of J in K
22.656 * [backup-simplify]: Simplify J into J
22.656 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in K
22.656 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in K
22.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
22.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
22.657 * [taylor]: Taking taylor expansion of -1/2 in K
22.657 * [backup-simplify]: Simplify -1/2 into -1/2
22.657 * [taylor]: Taking taylor expansion of K in K
22.657 * [backup-simplify]: Simplify 0 into 0
22.657 * [backup-simplify]: Simplify 1 into 1
22.657 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
22.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.657 * [taylor]: Taking taylor expansion of (pow U 6) in K
22.657 * [taylor]: Taking taylor expansion of U in K
22.657 * [backup-simplify]: Simplify U into U
22.658 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.658 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.658 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.658 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
22.658 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.658 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
22.658 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
22.659 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
22.659 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
22.659 * [taylor]: Taking taylor expansion of 1 in K
22.659 * [backup-simplify]: Simplify 1 into 1
22.659 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) into (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))
22.660 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) into (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)
22.660 * [backup-simplify]: Simplify (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) into (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))
22.660 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.660 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.660 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.661 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
22.661 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
22.661 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
22.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.661 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
22.662 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 (pow U 6))) into 0
22.662 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (+ (* (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))))) into 0
22.663 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))) into 0
22.664 * [backup-simplify]: Simplify (+ 0 0) into 0
22.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) into 0
22.664 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in J
22.664 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in J
22.664 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in J
22.664 * [taylor]: Taking taylor expansion of 1/64 in J
22.665 * [backup-simplify]: Simplify 1/64 into 1/64
22.665 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in J
22.665 * [taylor]: Taking taylor expansion of (pow J 6) in J
22.665 * [taylor]: Taking taylor expansion of J in J
22.665 * [backup-simplify]: Simplify 0 into 0
22.665 * [backup-simplify]: Simplify 1 into 1
22.665 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in J
22.665 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in J
22.665 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.665 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.665 * [taylor]: Taking taylor expansion of -1/2 in J
22.665 * [backup-simplify]: Simplify -1/2 into -1/2
22.665 * [taylor]: Taking taylor expansion of K in J
22.665 * [backup-simplify]: Simplify K into K
22.665 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.665 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.665 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.666 * [backup-simplify]: Simplify (- 0) into 0
22.666 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.666 * [taylor]: Taking taylor expansion of (pow U 6) in J
22.666 * [taylor]: Taking taylor expansion of U in J
22.666 * [backup-simplify]: Simplify U into U
22.666 * [backup-simplify]: Simplify (* 1 1) into 1
22.667 * [backup-simplify]: Simplify (* 1 1) into 1
22.667 * [backup-simplify]: Simplify (* 1 1) into 1
22.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.668 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
22.668 * [backup-simplify]: Simplify (* U U) into (pow U 2)
22.668 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
22.668 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
22.668 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
22.668 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
22.668 * [taylor]: Taking taylor expansion of 1 in J
22.668 * [backup-simplify]: Simplify 1 into 1
22.669 * [backup-simplify]: Simplify (+ 0 1) into 1
22.669 * [backup-simplify]: Simplify (sqrt 1) into 1
22.670 * [backup-simplify]: Simplify (+ 0 0) into 0
22.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
22.670 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in U
22.671 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
22.671 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
22.671 * [taylor]: Taking taylor expansion of 1/64 in U
22.671 * [backup-simplify]: Simplify 1/64 into 1/64
22.671 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
22.671 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.671 * [taylor]: Taking taylor expansion of J in U
22.671 * [backup-simplify]: Simplify J into J
22.671 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
22.671 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
22.671 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.671 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.671 * [taylor]: Taking taylor expansion of -1/2 in U
22.671 * [backup-simplify]: Simplify -1/2 into -1/2
22.671 * [taylor]: Taking taylor expansion of K in U
22.671 * [backup-simplify]: Simplify K into K
22.671 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.671 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.671 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.672 * [backup-simplify]: Simplify (- 0) into 0
22.672 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.672 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.672 * [taylor]: Taking taylor expansion of U in U
22.672 * [backup-simplify]: Simplify 0 into 0
22.672 * [backup-simplify]: Simplify 1 into 1
22.672 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.672 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.672 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.673 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
22.673 * [backup-simplify]: Simplify (* 1 1) into 1
22.674 * [backup-simplify]: Simplify (* 1 1) into 1
22.674 * [backup-simplify]: Simplify (* 1 1) into 1
22.674 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
22.674 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
22.674 * [taylor]: Taking taylor expansion of 1 in U
22.674 * [backup-simplify]: Simplify 1 into 1
22.674 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.675 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.675 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))
22.675 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.675 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.675 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.678 * [backup-simplify]: Simplify (+ 0) into 0
22.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.680 * [backup-simplify]: Simplify (- 0) into 0
22.681 * [backup-simplify]: Simplify (+ 0 0) into 0
22.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.681 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
22.682 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
22.682 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.683 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
22.683 * [backup-simplify]: Simplify (+ 0 0) into 0
22.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
22.684 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in U
22.684 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
22.684 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
22.684 * [taylor]: Taking taylor expansion of 1/64 in U
22.684 * [backup-simplify]: Simplify 1/64 into 1/64
22.684 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
22.684 * [taylor]: Taking taylor expansion of (pow J 6) in U
22.684 * [taylor]: Taking taylor expansion of J in U
22.684 * [backup-simplify]: Simplify J into J
22.684 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
22.684 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
22.684 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
22.684 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
22.684 * [taylor]: Taking taylor expansion of -1/2 in U
22.684 * [backup-simplify]: Simplify -1/2 into -1/2
22.684 * [taylor]: Taking taylor expansion of K in U
22.684 * [backup-simplify]: Simplify K into K
22.684 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.684 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.684 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.684 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.685 * [backup-simplify]: Simplify (- 0) into 0
22.685 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.685 * [taylor]: Taking taylor expansion of (pow U 6) in U
22.685 * [taylor]: Taking taylor expansion of U in U
22.685 * [backup-simplify]: Simplify 0 into 0
22.685 * [backup-simplify]: Simplify 1 into 1
22.685 * [backup-simplify]: Simplify (* J J) into (pow J 2)
22.685 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
22.685 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
22.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.686 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
22.687 * [backup-simplify]: Simplify (* 1 1) into 1
22.687 * [backup-simplify]: Simplify (* 1 1) into 1
22.687 * [backup-simplify]: Simplify (* 1 1) into 1
22.687 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
22.688 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
22.688 * [taylor]: Taking taylor expansion of 1 in U
22.688 * [backup-simplify]: Simplify 1 into 1
22.688 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.688 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
22.688 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))
22.689 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
22.689 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
22.689 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
22.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.691 * [backup-simplify]: Simplify (+ 0) into 0
22.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
22.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
22.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
22.694 * [backup-simplify]: Simplify (- 0) into 0
22.694 * [backup-simplify]: Simplify (+ 0 0) into 0
22.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
22.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
22.695 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
22.696 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
22.697 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.697 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
22.698 * [backup-simplify]: Simplify (+ 0 0) into 0
22.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
22.698 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J
22.698 * [taylor]: Taking taylor expansion of 1/8 in J
22.698 * [backup-simplify]: Simplify 1/8 into 1/8
22.698 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J
22.698 * [taylor]: Taking taylor expansion of (pow J 3) in J
22.698 * [taylor]: Taking taylor expansion of J in J
22.698 * [backup-simplify]: Simplify 0 into 0
22.698 * [backup-simplify]: Simplify 1 into 1
22.698 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J
22.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
22.699 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
22.699 * [taylor]: Taking taylor expansion of -1/2 in J
22.699 * [backup-simplify]: Simplify -1/2 into -1/2
22.699 * [taylor]: Taking taylor expansion of K in J
22.699 * [backup-simplify]: Simplify K into K
22.699 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
22.699 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
22.699 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
22.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
22.699 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
22.699 * [backup-simplify]: Simplify (- 0) into 0
22.700 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
22.700 * [backup-simplify]: Simplify (* 1 1) into 1
22.700 * [backup-simplify]: Simplify (* 1 1) into 1
22.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
22.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
22.701 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3))
22.701 * [taylor]: Taking taylor expansion of 0 in J
22.701 * [backup-simplify]: Simplify 0 into 0
22.701 * [taylor]: Taking taylor expansion of 0 in K
22.701 * [backup-simplify]: Simplify 0 into 0
22.701 * [backup-simplify]: Simplify 0 into 0
22.702 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
22.702 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
22.703 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
22.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
22.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
22.710 * [backup-simplify]: Simplify (- 0) into 0
22.711 * [backup-simplify]: Simplify (+ 0 0) into 0
22.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
22.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
22.713 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3)))) into 0
22.713 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (* 0 1))) into 0
22.714 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.715 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))))) into 0
22.715 * [backup-simplify]: Simplify (+ 0 0) into 0
22.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) into 0
22.717 * [taylor]: Taking taylor expansion of 0 in J
22.717 * [backup-simplify]: Simplify 0 into 0
22.717 * [taylor]: Taking taylor expansion of 0 in K
22.717 * [backup-simplify]: Simplify 0 into 0
22.717 * [backup-simplify]: Simplify 0 into 0
22.717 * [taylor]: Taking taylor expansion of 0 in K
22.717 * [backup-simplify]: Simplify 0 into 0
22.717 * [backup-simplify]: Simplify 0 into 0
22.717 * [backup-simplify]: Simplify 0 into 0
22.718 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
22.719 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
22.720 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
22.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
22.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.729 * [backup-simplify]: Simplify (- 0) into 0
22.729 * [backup-simplify]: Simplify (+ 0 0) into 0
22.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
22.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
22.732 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3))))) into 0
22.733 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.734 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
22.735 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
22.735 * [backup-simplify]: Simplify (+ 0 0) into 0
22.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) into 0
22.742 * [taylor]: Taking taylor expansion of 0 in J
22.742 * [backup-simplify]: Simplify 0 into 0
22.742 * [taylor]: Taking taylor expansion of 0 in K
22.742 * [backup-simplify]: Simplify 0 into 0
22.742 * [backup-simplify]: Simplify 0 into 0
22.742 * [taylor]: Taking taylor expansion of 0 in K
22.742 * [backup-simplify]: Simplify 0 into 0
22.742 * [backup-simplify]: Simplify 0 into 0
22.742 * [backup-simplify]: Simplify 0 into 0
22.742 * * * [progress]: simplifying candidates
22.742 * * * * [progress]: [ 1 / 186 ] simplifiying candidate #<alt (λ (J K U) (pow (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) 1))>
22.742 * * * * [progress]: [ 2 / 186 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.742 * * * * [progress]: [ 3 / 186 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.742 * * * * [progress]: [ 4 / 186 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 5 / 186 ] simplifiying candidate #<alt (λ (J K U) (exp (- (log (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 6 / 186 ] simplifiying candidate #<alt (λ (J K U) (exp (log (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 7 / 186 ] simplifiying candidate #<alt (λ (J K U) (log (exp (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 8 / 186 ] simplifiying candidate #<alt (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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 9 / 186 ] simplifiying candidate #<alt (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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 10 / 186 ] simplifiying candidate #<alt (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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 11 / 186 ] simplifiying candidate #<alt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.743 * * * * [progress]: [ 12 / 186 ] simplifiying candidate #<alt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.744 * * * * [progress]: [ 13 / 186 ] simplifiying candidate #<alt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.744 * * * * [progress]: [ 14 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (sqrt (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.744 * * * * [progress]: [ 15 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (- (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) (- (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.744 * * * * [progress]: [ 16 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))) (/ (* (cos (/ K 2)) (* -2 J)) (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.744 * * * * [progress]: [ 17 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (* (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))) (/ (* (cos (/ K 2)) (* -2 J)) (sqrt (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.744 * * * * [progress]: [ 18 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (/ (* (cos (/ K 2)) (* -2 J)) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.744 * * * * [progress]: [ 19 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt 1)) (/ (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 20 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (/ (* (cos (/ K 2)) (* -2 J)) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.745 * * * * [progress]: [ 21 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1) (/ (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 22 / 186 ] simplifiying candidate #<alt (λ (J K U) (* 1 (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 23 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ 1 (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 24 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ 1 (/ (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))))))>
22.745 * * * * [progress]: [ 25 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))) (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 26 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))) (sqrt (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 27 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.745 * * * * [progress]: [ 28 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt 1)) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.745 * * * * [progress]: [ 29 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.746 * * * * [progress]: [ 30 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) 1) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.746 * * * * [progress]: [ 31 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
22.746 * * * * [progress]: [ 32 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.746 * * * * [progress]: [ 33 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.746 * * * * [progress]: [ 34 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.746 * * * * [progress]: [ 35 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.746 * * * * [progress]: [ 36 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.746 * * * * [progress]: [ 37 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.747 * * * * [progress]: [ 38 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.747 * * * * [progress]: [ 39 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.747 * * * * [progress]: [ 40 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.747 * * * * [progress]: [ 41 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.747 * * * * [progress]: [ 42 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.747 * * * * [progress]: [ 43 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.747 * * * * [progress]: [ 44 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.748 * * * * [progress]: [ 45 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.748 * * * * [progress]: [ 46 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.748 * * * * [progress]: [ 47 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.748 * * * * [progress]: [ 48 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.748 * * * * [progress]: [ 49 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.748 * * * * [progress]: [ 50 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.748 * * * * [progress]: [ 51 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.748 * * * * [progress]: [ 52 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.749 * * * * [progress]: [ 53 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.749 * * * * [progress]: [ 54 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.749 * * * * [progress]: [ 55 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.749 * * * * [progress]: [ 56 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.749 * * * * [progress]: [ 57 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.749 * * * * [progress]: [ 58 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.749 * * * * [progress]: [ 59 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.750 * * * * [progress]: [ 60 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.750 * * * * [progress]: [ 61 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.750 * * * * [progress]: [ 62 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 3) (pow (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 3)))) (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (- (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.750 * * * * [progress]: [ 63 / 186 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.750 * * * * [progress]: [ 64 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ (pow 1 3) (pow (* (* (* (/ (/ 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))))) 3))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (+ (* 1 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))))) (* (/ (/ 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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))))>
22.750 * * * * [progress]: [ 65 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (- (* 1 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))))) (* (/ (/ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))>
22.750 * * * * [progress]: [ 66 / 186 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.750 * * * * [progress]: [ 67 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (log (* (exp (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (/ (exp (* 1 1)) (exp (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 68 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (log (* (exp (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (exp (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 69 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (pow (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) 1))))>
22.751 * * * * [progress]: [ 70 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (exp (log (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 71 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (log (exp (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 72 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (* (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 73 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (cbrt (* (* (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 74 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.751 * * * * [progress]: [ 75 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.752 * * * * [progress]: [ 76 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.752 * * * * [progress]: [ 77 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.752 * * * * [progress]: [ 78 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.752 * * * * [progress]: [ 79 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.752 * * * * [progress]: [ 80 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.752 * * * * [progress]: [ 81 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.753 * * * * [progress]: [ 82 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.753 * * * * [progress]: [ 83 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.753 * * * * [progress]: [ 84 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.753 * * * * [progress]: [ 85 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.753 * * * * [progress]: [ 86 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.753 * * * * [progress]: [ 87 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.754 * * * * [progress]: [ 88 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.755 * * * * [progress]: [ 89 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.755 * * * * [progress]: [ 90 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.755 * * * * [progress]: [ 91 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.755 * * * * [progress]: [ 92 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.756 * * * * [progress]: [ 93 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.756 * * * * [progress]: [ 94 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.756 * * * * [progress]: [ 95 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.756 * * * * [progress]: [ 96 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.756 * * * * [progress]: [ 97 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.756 * * * * [progress]: [ 98 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.756 * * * * [progress]: [ 99 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.757 * * * * [progress]: [ 100 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.757 * * * * [progress]: [ 101 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.757 * * * * [progress]: [ 102 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.757 * * * * [progress]: [ 103 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3)))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.757 * * * * [progress]: [ 104 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.757 * * * * [progress]: [ 105 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (+ (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 3) (pow (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 3)) (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (- (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.757 * * * * [progress]: [ 106 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* 1 (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.758 * * * * [progress]: [ 107 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (/ (- (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.758 * * * * [progress]: [ 108 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)) (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.758 * * * * [progress]: [ 109 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)) (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.758 * * * * [progress]: [ 110 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))>
22.758 * * * * [progress]: [ 111 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (posit16->real (real->posit16 (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.758 * * * * [progress]: [ 112 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))>
22.758 * * * * [progress]: [ 113 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (pow (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) 1/2)))>
22.758 * * * * [progress]: [ 114 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (pow (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) 1)))>
22.758 * * * * [progress]: [ 115 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (exp (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.759 * * * * [progress]: [ 116 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (log (exp (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.759 * * * * [progress]: [ 117 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.759 * * * * [progress]: [ 118 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (cbrt (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.759 * * * * [progress]: [ 119 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (* (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (sqrt (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.759 * * * * [progress]: [ 120 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.759 * * * * [progress]: [ 121 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt 1) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.759 * * * * [progress]: [ 122 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.760 * * * * [progress]: [ 123 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.760 * * * * [progress]: [ 124 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.760 * * * * [progress]: [ 125 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.760 * * * * [progress]: [ 126 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.760 * * * * [progress]: [ 127 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.760 * * * * [progress]: [ 128 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.760 * * * * [progress]: [ 129 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.761 * * * * [progress]: [ 130 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.761 * * * * [progress]: [ 131 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.761 * * * * [progress]: [ 132 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.761 * * * * [progress]: [ 133 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.761 * * * * [progress]: [ 134 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.761 * * * * [progress]: [ 135 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.761 * * * * [progress]: [ 136 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.762 * * * * [progress]: [ 137 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.762 * * * * [progress]: [ 138 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.762 * * * * [progress]: [ 139 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.762 * * * * [progress]: [ 140 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.762 * * * * [progress]: [ 141 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.762 * * * * [progress]: [ 142 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.762 * * * * [progress]: [ 143 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) U)) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
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22.763 * * * * [progress]: [ 145 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* U (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
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22.763 * * * * [progress]: [ 147 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.763 * * * * [progress]: [ 148 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.763 * * * * [progress]: [ 149 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.763 * * * * [progress]: [ 150 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (* (* J 2) (cos (/ K 2))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 3))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))))>
22.764 * * * * [progress]: [ 151 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1)))))) (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
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22.764 * * * * [progress]: [ 153 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (/ (sqrt (- (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
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22.764 * * * * [progress]: [ 155 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.764 * * * * [progress]: [ 156 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (fabs (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.764 * * * * [progress]: [ 157 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* 1 (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))))>
22.764 * * * * [progress]: [ 158 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (posit16->real (real->posit16 (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
22.765 * * * * [progress]: [ 159 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (pow (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1/2) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
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22.765 * * * * [progress]: [ 161 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (exp (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
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22.765 * * * * [progress]: [ 165 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (* (cbrt (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (cbrt (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (cbrt (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.765 * * * * [progress]: [ 166 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 167 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt 1) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 168 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (/ (sqrt (+ (pow 1 3) (pow (* (* (* (/ (/ 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))))) 3))) (sqrt (+ (* 1 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))))) (* (/ (/ 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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 169 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (/ (sqrt (- (* 1 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))))) (* (/ (/ 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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 170 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (pow (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 171 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 172 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (fabs (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 173 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* 1 (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 174 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (posit16->real (real->posit16 (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.766 * * * * [progress]: [ 175 / 186 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
22.767 * * * * [progress]: [ 176 / 186 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
22.767 * * * * [progress]: [ 177 / 186 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
22.767 * * * * [progress]: [ 178 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
22.767 * * * * [progress]: [ 179 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt 0)))>
22.767 * * * * [progress]: [ 180 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt 0)))>
22.767 * * * * [progress]: [ 181 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (- 1 (* 1/8 (/ (pow U 2) (pow J 2))))))>
22.767 * * * * [progress]: [ 182 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)))>
22.767 * * * * [progress]: [ 183 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)))>
22.767 * * * * [progress]: [ 184 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* 1 (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.767 * * * * [progress]: [ 185 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* 0 (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.767 * * * * [progress]: [ 186 / 186 ] simplifiying candidate #<alt (λ (J K U) (/ (* 0 (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
22.777 * [simplify]: Simplifying:
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  (- (+ (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
  (- (+ (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
  (- (log (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) (log (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
  (log (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
  (exp (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
  (/ (* (* (* (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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
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  (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ 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))))) 1)) (* (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))
  (sqrt (+ (* (* (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* J 2) (cos (/ K 2))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ 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))))) 1))))))
  (sqrt (* (* (* J 2) (cos (/ K 2))) (+ (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (+ (pow (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 3) (pow (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 3)))
  (sqrt (+ (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (- (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (- (* 1 1) (* (* (/ 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))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (/ 1 2)
  (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (real->posit16 (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (log (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (exp (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
  (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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (sqrt (* (cbrt (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (cbrt (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
  (sqrt (cbrt (+ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (sqrt 1)
  (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (pow 1 3) (pow (* (* (* (/ (/ 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))))) 3)))
  (sqrt (+ (* 1 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))))) (* (/ (/ 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))))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
  (sqrt (- (* 1 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))))) (* (/ (/ 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))))) (* (/ (/ 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)))) (* (/ (/ 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 2)
  (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (sqrt (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (real->posit16 (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
  (* -1 U)
  (* -1 U)
  (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
  0
  0
  (- 1 (* 1/8 (/ (pow U 2) (pow J 2))))
  (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
  (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
  1
  0
  0
22.820 * * [simplify]: iteration 1: (379 enodes)
23.079 * * [simplify]: iteration 2: (1195 enodes)
23.841 * * [simplify]: Extracting #0: cost 122 inf + 0
23.843 * * [simplify]: Extracting #1: cost 695 inf + 3
23.853 * * [simplify]: Extracting #2: cost 1821 inf + 257
23.862 * * [simplify]: Extracting #3: cost 2077 inf + 7059
23.880 * * [simplify]: Extracting #4: cost 2003 inf + 15173
23.922 * * [simplify]: Extracting #5: cost 1646 inf + 134974
24.128 * * [simplify]: Extracting #6: cost 589 inf + 595249
24.497 * * [simplify]: Extracting #7: cost 155 inf + 843331
24.904 * * [simplify]: Extracting #8: cost 22 inf + 916192
25.352 * * [simplify]: Extracting #9: cost 0 inf + 927225
25.733 * * [simplify]: Extracting #10: cost 0 inf + 926985
26.131 * [simplify]: Simplified to:
  (log (/ (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)) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))
  (log (/ (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)) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))
  (log (/ (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)) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))
  (log (/ (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)) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))
  (log (/ (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)) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))
  (exp (/ (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)) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))
  (/ (* (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)) (+ (* (* (* (/ (/ 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)) (/ (- (+ (* (* (/ (/ 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) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* J (* J J))) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
  (* (/ (* (* (* -2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (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)) (/ (- (+ (* (* (/ (/ 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) (* (/ (/ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) 1))))
  (* (/ (* (* (* -2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (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)) (/ (- (+ (* (* (/ (/ 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) (* (/ (/ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) 1))))
  (* (/ (* (* (* -2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (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)) (/ (- (+ (* (* (/ (/ 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) (* (/ (/ 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) 1))))
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  (/ (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)) (sqrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
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  (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))
  (* (/ (cos (/ K 2)) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* -2 J))
  (/ (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)) (sqrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (/ (cos (/ K 2)) (/ (/ (sqrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) J) -2))
  (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))
  (* (/ (cos (/ K 2)) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* -2 J))
  (/ 1 (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (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))) (* (* -2 J) (cos (/ K 2))))
  (* (/ (* (* -2 J) (cos (/ K 2))) (cbrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (/ (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)) (cbrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))
  (/ (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)) (/ (fabs (cbrt (- (+ (* (* (/ (/ 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) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (* (* (* (cos (/ K 2)) (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))) -2) J)
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))
  (* (* (* (cos (/ K 2)) (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))) -2) J)
  (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))
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  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) U) (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (/ (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)) (/ (sqrt (+ (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* U (* (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2)))) (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (* -2 J) (cos (/ K 2)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) U) (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (/ (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)) (/ (sqrt (+ (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* U (* (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2)))) (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (* -2 J) (cos (/ K 2)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) U) (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
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  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* 2 J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* 2 J)) (- 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))))) (* (/ (/ 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)))) (* (/ (/ 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) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* 2 J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* 2 J)) (- 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))))) (* (/ (/ 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)))) (* (/ (/ 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) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) U) (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (/ (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)) (/ (sqrt (+ (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* U (* (* (* U U) (/ (/ U (* 2 J)) (cos (/ K 2)))) (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (* -2 J) (cos (/ K 2)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* 2 J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* 2 J)) (- 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))))) (* (/ (/ 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)))) (* (/ (/ 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) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* 2 J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* 2 J)) (- 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))))) (* (/ (/ 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)))) (* (/ (/ 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) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* 2 J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* 2 J)) (- 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))))) (* (/ (/ 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)))) (* (/ (/ 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) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (+ (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U) (/ (/ 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))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cos (/ K 2)) (* (* 2 J) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))))
  (/ (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)) (/ (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (- 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))))))) (+ (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U) (/ (/ 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) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (+ (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U) (/ (/ 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))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cos (/ K 2)) (* (* 2 J) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))))
  (/ (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)) (/ (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (- 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))))))) (+ (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U) (/ (/ 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) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* 2 J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* 2 J)) (- 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))))) (* (/ (/ 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)))) (* (/ (/ 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) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 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))))))) (* (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) U) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) U)))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (+ (* (cos (/ K 2)) (* (* 2 J) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* (* 2 J) (cos (/ K 2))) (- 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))))))))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (+ (* (cos (/ K 2)) (* (* 2 J) (- 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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (/ (* (* (* (cos (/ K 2)) (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))) -2) J) (sqrt (+ (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* (* 2 J) (cos (/ K 2))) (- 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))))))))))
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  (* (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))))) (- (* (* (* (/ (/ 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)) 1)) (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))))) 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
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  (exp (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)))
  (* (cbrt (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))) (cbrt (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))))
  (cbrt (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)))
  (* (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)) (+ (* (* (* (/ (/ 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))
  (fabs (cbrt (+ (* (* (* (/ (/ 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)))
  (sqrt (cbrt (+ (* (* (* (/ (/ 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)))
  (sqrt (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)))
  (sqrt (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)))
  1
  (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))
  (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))))) (* (* (* (* (/ (/ 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)))) (* (/ (/ 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))
  (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))))) (- (* (* (* (/ (/ 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)) 1))
  (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))))) (* (* (/ (/ 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)))) (* (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  1/2
  (sqrt (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)))
  (sqrt (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)))
  (real->posit16 (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)))
  (+ (* (/ (* U U) J) -1/4) (* -2 J))
  (- U)
  (- U)
  (+ 1 (+ (* (* (/ (* U U) (* J J)) (/ (* U U) (* J J))) 1/16) (* (/ (* U U) (* J J)) -1/4)))
  0
  0
  (+ 1 (* (* (/ U J) (/ U J)) -1/8))
  (- (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) 1/2)
  (- (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) 1/2)
  1
  0
  0
26.243 * * * [progress]: adding candidates to table
29.571 * [progress]: [Phase 3 of 3] Extracting.
29.571 * * [regime]: Finding splitpoints for: (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
29.582 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J)
29.582 * * * * [regimes]: Trying to branch on (/ K 2) from (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
29.679 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
29.768 * * * * [regimes]: Trying to branch on U from (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
29.893 * * * * [regimes]: Trying to branch on K from (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
29.983 * * * * [regimes]: Trying to branch on J from (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
30.125 * * * [regime]: Found split indices: #<option (#s(si 3 117) #s(si 1 170) #s(si 3 255))>
30.126 * [binary-search]: Improving bounds with binary search for J and (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
30.952 * [regimes]: Found splitpoints: (#s(sp 3 J -3.6033028488377203e-230) #s(sp 1 J 5.249148278725304e-150) #s(sp 3 J +nan.0)) , with alts (#<alt (λ (J K U) (/ (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ (/ (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))))) 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ 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)))) 1)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* 2 J))))) (* J -2))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (/ (* (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))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (exp (log (* (cos (/ K 2)) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* -2 J))))))>)
30.953 * [simplify]: Simplifying:
  (if (<= J -3.6033028488377203e-230) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (if (<= J 5.249148278725304e-150) (- U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
30.953 * * [simplify]: iteration 1: (24 enodes)
30.954 * * [simplify]: iteration 2: (33 enodes)
30.955 * * [simplify]: Extracting #0: cost 1 inf + 0
30.955 * * [simplify]: Extracting #1: cost 6 inf + 0
30.955 * * [simplify]: Extracting #2: cost 13 inf + 0
30.955 * * [simplify]: Extracting #3: cost 14 inf + 3
30.955 * * [simplify]: Extracting #4: cost 13 inf + 311
30.955 * * [simplify]: Extracting #5: cost 13 inf + 566
30.955 * * [simplify]: Extracting #6: cost 11 inf + 610
30.955 * * [simplify]: Extracting #7: cost 10 inf + 754
30.955 * * [simplify]: Extracting #8: cost 7 inf + 1163
30.956 * * [simplify]: Extracting #9: cost 4 inf + 1956
30.956 * * [simplify]: Extracting #10: cost 1 inf + 3404
30.957 * * [simplify]: Extracting #11: cost 0 inf + 4172
30.957 * [simplify]: Simplified to:
  (if (<= J -3.6033028488377203e-230) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J))) (if (<= J 5.249148278725304e-150) (- U) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J)))))
38.642 * [regime-testing]: Baseline error score: 17.53149128806636
38.644 * [regime-testing]: Oracle error score: 8.42996523239444
38.649 * [regime-testing]: End program error score: 16.329560844584417