64.780 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.197 * * * [progress]: [2/2] Setting up program.
0.204 * [progress]: [Phase 2 of 3] Improving.
0.204 * * * * [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)))))>
0.205 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.205 * * [simplify]: iteration 1: (17 enodes)
0.211 * * [simplify]: iteration 2: (34 enodes)
0.224 * * [simplify]: iteration 3: (79 enodes)
0.254 * * [simplify]: iteration 4: (185 enodes)
0.344 * * [simplify]: iteration 5: (616 enodes)
0.952 * * [simplify]: Extracting #0: cost 1 inf + 0
0.952 * * [simplify]: Extracting #1: cost 15 inf + 0
0.952 * * [simplify]: Extracting #2: cost 15 inf + 2
0.952 * * [simplify]: Extracting #3: cost 18 inf + 44
0.953 * * [simplify]: Extracting #4: cost 201 inf + 89
0.959 * * [simplify]: Extracting #5: cost 339 inf + 8425
0.981 * * [simplify]: Extracting #6: cost 187 inf + 41443
1.016 * * [simplify]: Extracting #7: cost 97 inf + 73351
1.065 * * [simplify]: Extracting #8: cost 1 inf + 124289
1.129 * * [simplify]: Extracting #9: cost 0 inf + 124724
1.194 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
1.207 * * [progress]: iteration 1 / 4
1.207 * * * [progress]: picking best candidate
1.211 * * * * [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))))>
1.211 * * * [progress]: localizing error
1.249 * * * [progress]: generating rewritten candidates
1.249 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1.399 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
1.843 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2)
1.859 * * * [progress]: generating series expansions
1.859 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
1.860 * [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))
1.860 * [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
1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.860 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.860 * [taylor]: Taking taylor expansion of 1/4 in K
1.860 * [backup-simplify]: Simplify 1/4 into 1/4
1.860 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.860 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.860 * [taylor]: Taking taylor expansion of U in K
1.860 * [backup-simplify]: Simplify U into U
1.860 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.860 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.860 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.860 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.860 * [taylor]: Taking taylor expansion of 1/2 in K
1.860 * [backup-simplify]: Simplify 1/2 into 1/2
1.860 * [taylor]: Taking taylor expansion of K in K
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify 1 into 1
1.860 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.861 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.861 * [taylor]: Taking taylor expansion of J in K
1.861 * [backup-simplify]: Simplify J into J
1.861 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.861 * [backup-simplify]: Simplify (* 1 1) into 1
1.861 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.861 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.861 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.861 * [taylor]: Taking taylor expansion of 1 in K
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.862 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.862 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.862 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.862 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.862 * [backup-simplify]: Simplify (+ 0) into 0
1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.863 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.863 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.864 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.864 * [taylor]: Taking taylor expansion of 1/4 in J
1.864 * [backup-simplify]: Simplify 1/4 into 1/4
1.864 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.864 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.864 * [taylor]: Taking taylor expansion of U in J
1.864 * [backup-simplify]: Simplify U into U
1.864 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.864 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.864 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.864 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.864 * [taylor]: Taking taylor expansion of 1/2 in J
1.864 * [backup-simplify]: Simplify 1/2 into 1/2
1.864 * [taylor]: Taking taylor expansion of K in J
1.864 * [backup-simplify]: Simplify K into K
1.864 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.864 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.864 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.864 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.864 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.865 * [backup-simplify]: Simplify (- 0) into 0
1.865 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.865 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.865 * [taylor]: Taking taylor expansion of J in J
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.865 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.865 * [backup-simplify]: Simplify (* 1 1) into 1
1.865 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.865 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.865 * [taylor]: Taking taylor expansion of 1 in J
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [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)))
1.866 * [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)))
1.866 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.866 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.866 * [backup-simplify]: Simplify (+ 0) into 0
1.867 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.868 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.868 * [backup-simplify]: Simplify (- 0) into 0
1.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1.868 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.869 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.869 * [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
1.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.869 * [backup-simplify]: Simplify (+ 0 0) into 0
1.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.870 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.870 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.870 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.870 * [taylor]: Taking taylor expansion of 1/4 in U
1.870 * [backup-simplify]: Simplify 1/4 into 1/4
1.870 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.870 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.870 * [taylor]: Taking taylor expansion of U in U
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.870 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.870 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.870 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.870 * [taylor]: Taking taylor expansion of 1/2 in U
1.870 * [backup-simplify]: Simplify 1/2 into 1/2
1.870 * [taylor]: Taking taylor expansion of K in U
1.870 * [backup-simplify]: Simplify K into K
1.870 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.870 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.870 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.870 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.870 * [backup-simplify]: Simplify (- 0) into 0
1.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.870 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.871 * [taylor]: Taking taylor expansion of J in U
1.871 * [backup-simplify]: Simplify J into J
1.871 * [backup-simplify]: Simplify (* 1 1) into 1
1.871 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.871 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.871 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.871 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.871 * [taylor]: Taking taylor expansion of 1 in U
1.871 * [backup-simplify]: Simplify 1 into 1
1.871 * [backup-simplify]: Simplify (+ 0 1) into 1
1.872 * [backup-simplify]: Simplify (sqrt 1) into 1
1.872 * [backup-simplify]: Simplify (+ 0 0) into 0
1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.872 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.872 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.872 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.872 * [taylor]: Taking taylor expansion of 1/4 in U
1.872 * [backup-simplify]: Simplify 1/4 into 1/4
1.872 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.872 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.873 * [taylor]: Taking taylor expansion of U in U
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.873 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.873 * [taylor]: Taking taylor expansion of 1/2 in U
1.873 * [backup-simplify]: Simplify 1/2 into 1/2
1.873 * [taylor]: Taking taylor expansion of K in U
1.873 * [backup-simplify]: Simplify K into K
1.873 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.873 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.873 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.873 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.873 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.873 * [backup-simplify]: Simplify (- 0) into 0
1.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.874 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.874 * [taylor]: Taking taylor expansion of J in U
1.874 * [backup-simplify]: Simplify J into J
1.874 * [backup-simplify]: Simplify (* 1 1) into 1
1.874 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.874 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.874 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.875 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.875 * [taylor]: Taking taylor expansion of 1 in U
1.875 * [backup-simplify]: Simplify 1 into 1
1.875 * [backup-simplify]: Simplify (+ 0 1) into 1
1.875 * [backup-simplify]: Simplify (sqrt 1) into 1
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.877 * [taylor]: Taking taylor expansion of 1 in J
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [taylor]: Taking taylor expansion of 0 in J
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [taylor]: Taking taylor expansion of 1 in K
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [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)))
1.877 * [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))))
1.879 * [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)))
1.879 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.879 * [taylor]: Taking taylor expansion of 1/8 in J
1.879 * [backup-simplify]: Simplify 1/8 into 1/8
1.879 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.879 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.879 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.879 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.879 * [taylor]: Taking taylor expansion of 1/2 in J
1.879 * [backup-simplify]: Simplify 1/2 into 1/2
1.879 * [taylor]: Taking taylor expansion of K in J
1.879 * [backup-simplify]: Simplify K into K
1.879 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.879 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.879 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.879 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.879 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.880 * [backup-simplify]: Simplify (- 0) into 0
1.880 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.880 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.880 * [taylor]: Taking taylor expansion of J in J
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [backup-simplify]: Simplify 1 into 1
1.880 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.881 * [backup-simplify]: Simplify (* 1 1) into 1
1.881 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.881 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify (+ 0) into 0
1.882 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.884 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.884 * [backup-simplify]: Simplify (- 0) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.885 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.885 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.886 * [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
1.886 * [taylor]: Taking taylor expansion of 0 in K
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [taylor]: Taking taylor expansion of 0 in K
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [taylor]: Taking taylor expansion of 0 in K
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.887 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.887 * [backup-simplify]: Simplify (+ 0) into 0
1.888 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.890 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.890 * [backup-simplify]: Simplify (- 0) into 0
1.890 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.891 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.891 * [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
1.892 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
1.893 * [taylor]: Taking taylor expansion of 0 in J
1.893 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.895 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.895 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.898 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.898 * [backup-simplify]: Simplify (- 0) into 0
1.899 * [backup-simplify]: Simplify (+ 0 0) into 0
1.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.900 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.900 * [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
1.901 * [taylor]: Taking taylor expansion of 0 in K
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [taylor]: Taking taylor expansion of 0 in K
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [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))
1.901 * [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
1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.901 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.902 * [taylor]: Taking taylor expansion of 1/4 in K
1.902 * [backup-simplify]: Simplify 1/4 into 1/4
1.902 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.902 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.902 * [taylor]: Taking taylor expansion of J in K
1.902 * [backup-simplify]: Simplify J into J
1.902 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.902 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.902 * [taylor]: Taking taylor expansion of U in K
1.902 * [backup-simplify]: Simplify U into U
1.902 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.902 * [taylor]: Taking taylor expansion of 1/2 in K
1.902 * [backup-simplify]: Simplify 1/2 into 1/2
1.902 * [taylor]: Taking taylor expansion of K in K
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.903 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.903 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.903 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.903 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.903 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.903 * [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)))
1.903 * [taylor]: Taking taylor expansion of 1 in K
1.903 * [backup-simplify]: Simplify 1 into 1
1.904 * [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))))
1.904 * [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)
1.904 * [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))
1.904 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.905 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.905 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.906 * [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
1.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.907 * [backup-simplify]: Simplify (+ 0 0) into 0
1.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.908 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.908 * [taylor]: Taking taylor expansion of 1/4 in J
1.908 * [backup-simplify]: Simplify 1/4 into 1/4
1.908 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.908 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.908 * [taylor]: Taking taylor expansion of J in J
1.908 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify 1 into 1
1.908 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.908 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.908 * [taylor]: Taking taylor expansion of U in J
1.908 * [backup-simplify]: Simplify U into U
1.908 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.908 * [taylor]: Taking taylor expansion of 1/2 in J
1.908 * [backup-simplify]: Simplify 1/2 into 1/2
1.909 * [taylor]: Taking taylor expansion of K in J
1.909 * [backup-simplify]: Simplify K into K
1.909 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.909 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.909 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.909 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.909 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.909 * [backup-simplify]: Simplify (- 0) into 0
1.910 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.910 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.910 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.910 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.910 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.911 * [taylor]: Taking taylor expansion of 1 in J
1.911 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (+ 0 1) into 1
1.911 * [backup-simplify]: Simplify (sqrt 1) into 1
1.912 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.913 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.913 * [taylor]: Taking taylor expansion of 1/4 in U
1.913 * [backup-simplify]: Simplify 1/4 into 1/4
1.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.913 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.913 * [taylor]: Taking taylor expansion of J in U
1.913 * [backup-simplify]: Simplify J into J
1.913 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.913 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.913 * [taylor]: Taking taylor expansion of U in U
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 1 into 1
1.913 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.913 * [taylor]: Taking taylor expansion of 1/2 in U
1.913 * [backup-simplify]: Simplify 1/2 into 1/2
1.913 * [taylor]: Taking taylor expansion of K in U
1.913 * [backup-simplify]: Simplify K into K
1.913 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.913 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.913 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.913 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.913 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.914 * [backup-simplify]: Simplify (- 0) into 0
1.914 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.914 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.914 * [backup-simplify]: Simplify (* 1 1) into 1
1.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.915 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.915 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.915 * [taylor]: Taking taylor expansion of 1 in U
1.915 * [backup-simplify]: Simplify 1 into 1
1.915 * [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)))
1.915 * [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)))
1.916 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.916 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.916 * [backup-simplify]: Simplify (+ 0) into 0
1.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.918 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.918 * [backup-simplify]: Simplify (- 0) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.920 * [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
1.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.921 * [backup-simplify]: Simplify (+ 0 0) into 0
1.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.922 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.922 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.922 * [taylor]: Taking taylor expansion of 1/4 in U
1.922 * [backup-simplify]: Simplify 1/4 into 1/4
1.922 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.922 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.922 * [taylor]: Taking taylor expansion of J in U
1.922 * [backup-simplify]: Simplify J into J
1.922 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.922 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.922 * [taylor]: Taking taylor expansion of U in U
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 1 into 1
1.922 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.922 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.922 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.922 * [taylor]: Taking taylor expansion of 1/2 in U
1.922 * [backup-simplify]: Simplify 1/2 into 1/2
1.922 * [taylor]: Taking taylor expansion of K in U
1.922 * [backup-simplify]: Simplify K into K
1.922 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.923 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.923 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.923 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.923 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.923 * [backup-simplify]: Simplify (- 0) into 0
1.923 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.923 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.924 * [backup-simplify]: Simplify (* 1 1) into 1
1.924 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.924 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.924 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.924 * [taylor]: Taking taylor expansion of 1 in U
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [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)))
1.925 * [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)))
1.925 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.925 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.925 * [backup-simplify]: Simplify (+ 0) into 0
1.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.928 * [backup-simplify]: Simplify (- 0) into 0
1.928 * [backup-simplify]: Simplify (+ 0 0) into 0
1.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.930 * [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
1.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
1.931 * [taylor]: Taking taylor expansion of 1/2 in J
1.931 * [backup-simplify]: Simplify 1/2 into 1/2
1.931 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
1.931 * [taylor]: Taking taylor expansion of J in J
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.932 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.932 * [taylor]: Taking taylor expansion of 1/2 in J
1.932 * [backup-simplify]: Simplify 1/2 into 1/2
1.932 * [taylor]: Taking taylor expansion of K in J
1.932 * [backup-simplify]: Simplify K into K
1.932 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.932 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.932 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.932 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.932 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.932 * [backup-simplify]: Simplify (- 0) into 0
1.933 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.933 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.933 * [taylor]: Taking taylor expansion of 0 in J
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [taylor]: Taking taylor expansion of 0 in K
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
1.933 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
1.933 * [taylor]: Taking taylor expansion of 1/2 in K
1.933 * [backup-simplify]: Simplify 1/2 into 1/2
1.933 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.933 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.933 * [taylor]: Taking taylor expansion of 1/2 in K
1.933 * [backup-simplify]: Simplify 1/2 into 1/2
1.933 * [taylor]: Taking taylor expansion of K in K
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 1 into 1
1.934 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.934 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.934 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.934 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.934 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.938 * [backup-simplify]: Simplify (- 0) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.941 * [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
1.942 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.943 * [backup-simplify]: Simplify (+ 0 1) into 1
1.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
1.944 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.944 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.944 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.944 * [taylor]: Taking taylor expansion of 1/2 in J
1.944 * [backup-simplify]: Simplify 1/2 into 1/2
1.944 * [taylor]: Taking taylor expansion of K in J
1.944 * [backup-simplify]: Simplify K into K
1.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.944 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.944 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.944 * [taylor]: Taking taylor expansion of J in J
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 1 into 1
1.944 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.944 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.945 * [backup-simplify]: Simplify (- 0) into 0
1.945 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.945 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.945 * [backup-simplify]: Simplify (+ 0) into 0
1.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.947 * [backup-simplify]: Simplify (- 0) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.952 * [taylor]: Taking taylor expansion of 0 in K
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [taylor]: Taking taylor expansion of 0 in K
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify (+ 0) into 0
1.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.955 * [backup-simplify]: Simplify (- 0) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.956 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.957 * [taylor]: Taking taylor expansion of 0 in K
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.957 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.963 * [backup-simplify]: Simplify (- 0) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.968 * [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
1.969 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
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 0 in K
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [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)))
1.971 * [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))))))
1.971 * [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
1.971 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.971 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.971 * [taylor]: Taking taylor expansion of 1 in K
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.971 * [taylor]: Taking taylor expansion of 1/4 in K
1.971 * [backup-simplify]: Simplify 1/4 into 1/4
1.971 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.971 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.971 * [taylor]: Taking taylor expansion of J in K
1.971 * [backup-simplify]: Simplify J into J
1.971 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.971 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.971 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.971 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.971 * [taylor]: Taking taylor expansion of -1/2 in K
1.971 * [backup-simplify]: Simplify -1/2 into -1/2
1.971 * [taylor]: Taking taylor expansion of K in K
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.972 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.972 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.972 * [taylor]: Taking taylor expansion of U in K
1.972 * [backup-simplify]: Simplify U into U
1.972 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.972 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.972 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.972 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.973 * [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)))
1.973 * [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))))
1.973 * [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)))))
1.974 * [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))))))
1.974 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.974 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.974 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.975 * [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
1.976 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.977 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.977 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.977 * [taylor]: Taking taylor expansion of 1 in J
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.977 * [taylor]: Taking taylor expansion of 1/4 in J
1.977 * [backup-simplify]: Simplify 1/4 into 1/4
1.977 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.977 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.977 * [taylor]: Taking taylor expansion of J in J
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.977 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.977 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.977 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.977 * [taylor]: Taking taylor expansion of -1/2 in J
1.977 * [backup-simplify]: Simplify -1/2 into -1/2
1.977 * [taylor]: Taking taylor expansion of K in J
1.977 * [backup-simplify]: Simplify K into K
1.977 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.977 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.977 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.977 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.977 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.978 * [backup-simplify]: Simplify (- 0) into 0
1.978 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.978 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.978 * [taylor]: Taking taylor expansion of U in J
1.978 * [backup-simplify]: Simplify U into U
1.979 * [backup-simplify]: Simplify (* 1 1) into 1
1.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.979 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.979 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.979 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.980 * [backup-simplify]: Simplify (+ 1 0) into 1
1.980 * [backup-simplify]: Simplify (sqrt 1) into 1
1.980 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.981 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.981 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.981 * [taylor]: Taking taylor expansion of 1 in U
1.981 * [backup-simplify]: Simplify 1 into 1
1.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.981 * [taylor]: Taking taylor expansion of 1/4 in U
1.981 * [backup-simplify]: Simplify 1/4 into 1/4
1.981 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.981 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.982 * [taylor]: Taking taylor expansion of J in U
1.982 * [backup-simplify]: Simplify J into J
1.982 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.982 * [taylor]: Taking taylor expansion of -1/2 in U
1.982 * [backup-simplify]: Simplify -1/2 into -1/2
1.982 * [taylor]: Taking taylor expansion of K in U
1.982 * [backup-simplify]: Simplify K into K
1.982 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.982 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.982 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.983 * [backup-simplify]: Simplify (- 0) into 0
1.983 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.983 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.983 * [taylor]: Taking taylor expansion of U in U
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.984 * [backup-simplify]: Simplify (* 1 1) into 1
1.984 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.984 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.984 * [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)))
1.985 * [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)))
1.985 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.985 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.986 * [backup-simplify]: Simplify (+ 0) into 0
1.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.988 * [backup-simplify]: Simplify (- 0) into 0
1.989 * [backup-simplify]: Simplify (+ 0 0) into 0
1.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.990 * [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
1.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.991 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.991 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.991 * [taylor]: Taking taylor expansion of 1 in U
1.991 * [backup-simplify]: Simplify 1 into 1
1.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.991 * [taylor]: Taking taylor expansion of 1/4 in U
1.991 * [backup-simplify]: Simplify 1/4 into 1/4
1.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.991 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.991 * [taylor]: Taking taylor expansion of J in U
1.991 * [backup-simplify]: Simplify J into J
1.991 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.991 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.991 * [taylor]: Taking taylor expansion of -1/2 in U
1.991 * [backup-simplify]: Simplify -1/2 into -1/2
1.991 * [taylor]: Taking taylor expansion of K in U
1.991 * [backup-simplify]: Simplify K into K
1.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.992 * [backup-simplify]: Simplify (- 0) into 0
1.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.992 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.992 * [taylor]: Taking taylor expansion of U in U
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.993 * [backup-simplify]: Simplify (* 1 1) into 1
1.993 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.993 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.993 * [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)))
1.994 * [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)))
1.994 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.994 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.995 * [backup-simplify]: Simplify (+ 0) into 0
1.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.997 * [backup-simplify]: Simplify (- 0) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.999 * [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
1.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.000 * [backup-simplify]: Simplify (+ 0 0) into 0
2.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
2.000 * [taylor]: Taking taylor expansion of 1/2 in J
2.000 * [backup-simplify]: Simplify 1/2 into 1/2
2.000 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
2.000 * [taylor]: Taking taylor expansion of J in J
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.000 * [taylor]: Taking taylor expansion of -1/2 in J
2.000 * [backup-simplify]: Simplify -1/2 into -1/2
2.000 * [taylor]: Taking taylor expansion of K in J
2.000 * [backup-simplify]: Simplify K into K
2.001 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.001 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.001 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.001 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.001 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.001 * [backup-simplify]: Simplify (- 0) into 0
2.001 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.001 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
2.001 * [taylor]: Taking taylor expansion of 0 in J
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [taylor]: Taking taylor expansion of 0 in K
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
2.002 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
2.002 * [taylor]: Taking taylor expansion of 1/2 in K
2.002 * [backup-simplify]: Simplify 1/2 into 1/2
2.002 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.002 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.002 * [taylor]: Taking taylor expansion of -1/2 in K
2.002 * [backup-simplify]: Simplify -1/2 into -1/2
2.002 * [taylor]: Taking taylor expansion of K in K
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.002 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.002 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.003 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.003 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.003 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.007 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.008 * [backup-simplify]: Simplify (- 0) into 0
2.008 * [backup-simplify]: Simplify (+ 0 0) into 0
2.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.010 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.010 * [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
2.011 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.012 * [backup-simplify]: Simplify (+ 1 0) into 1
2.012 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.012 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.013 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.013 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.013 * [taylor]: Taking taylor expansion of -1/2 in J
2.013 * [backup-simplify]: Simplify -1/2 into -1/2
2.013 * [taylor]: Taking taylor expansion of K in J
2.013 * [backup-simplify]: Simplify K into K
2.013 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.013 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.013 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.013 * [taylor]: Taking taylor expansion of J in J
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.013 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.013 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.014 * [backup-simplify]: Simplify (- 0) into 0
2.014 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.014 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.014 * [backup-simplify]: Simplify (+ 0) into 0
2.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.015 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.016 * [backup-simplify]: Simplify (- 0) into 0
2.017 * [backup-simplify]: Simplify (+ 0 0) into 0
2.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.017 * [taylor]: Taking taylor expansion of 0 in K
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [taylor]: Taking taylor expansion of 0 in K
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify (+ 0) into 0
2.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.019 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.020 * [backup-simplify]: Simplify (- 0) into 0
2.020 * [backup-simplify]: Simplify (+ 0 0) into 0
2.021 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
2.021 * [taylor]: Taking taylor expansion of 0 in K
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.025 * [backup-simplify]: Simplify (- 0) into 0
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.026 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.027 * [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
2.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.028 * [taylor]: Taking taylor expansion of 0 in J
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [taylor]: Taking taylor expansion of 0 in K
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [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)))
2.028 * * * * [progress]: [ 2 / 4 ] generating series at (2)
2.028 * [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))))
2.028 * [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
2.029 * [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
2.029 * [taylor]: Taking taylor expansion of -2 in K
2.029 * [backup-simplify]: Simplify -2 into -2
2.029 * [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
2.029 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.029 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.029 * [taylor]: Taking taylor expansion of 1/2 in K
2.029 * [backup-simplify]: Simplify 1/2 into 1/2
2.029 * [taylor]: Taking taylor expansion of K in K
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.029 * [taylor]: Taking taylor expansion of J in K
2.029 * [backup-simplify]: Simplify J into J
2.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.030 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.030 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.030 * [taylor]: Taking taylor expansion of 1/4 in K
2.030 * [backup-simplify]: Simplify 1/4 into 1/4
2.030 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.030 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.030 * [taylor]: Taking taylor expansion of U in K
2.030 * [backup-simplify]: Simplify U into U
2.030 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.030 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.030 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.030 * [taylor]: Taking taylor expansion of 1/2 in K
2.030 * [backup-simplify]: Simplify 1/2 into 1/2
2.030 * [taylor]: Taking taylor expansion of K in K
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.030 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.030 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.031 * [taylor]: Taking taylor expansion of J in K
2.031 * [backup-simplify]: Simplify J into J
2.031 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.031 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.031 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.031 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.031 * [taylor]: Taking taylor expansion of 1 in K
2.031 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.031 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.031 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.031 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.031 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.032 * [backup-simplify]: Simplify (+ 0) into 0
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.033 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.033 * [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
2.033 * [taylor]: Taking taylor expansion of -2 in J
2.033 * [backup-simplify]: Simplify -2 into -2
2.033 * [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
2.033 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.033 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.033 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.033 * [taylor]: Taking taylor expansion of 1/2 in J
2.033 * [backup-simplify]: Simplify 1/2 into 1/2
2.033 * [taylor]: Taking taylor expansion of K in J
2.034 * [backup-simplify]: Simplify K into K
2.034 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.034 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.034 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.034 * [taylor]: Taking taylor expansion of J in J
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 1 into 1
2.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.034 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.034 * [taylor]: Taking taylor expansion of 1/4 in J
2.034 * [backup-simplify]: Simplify 1/4 into 1/4
2.034 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.034 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.034 * [taylor]: Taking taylor expansion of U in J
2.034 * [backup-simplify]: Simplify U into U
2.034 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.034 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.034 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.034 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.034 * [taylor]: Taking taylor expansion of 1/2 in J
2.034 * [backup-simplify]: Simplify 1/2 into 1/2
2.034 * [taylor]: Taking taylor expansion of K in J
2.034 * [backup-simplify]: Simplify K into K
2.034 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.034 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.034 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.034 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.034 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.034 * [backup-simplify]: Simplify (- 0) into 0
2.034 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.034 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.034 * [taylor]: Taking taylor expansion of J in J
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.035 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.035 * [backup-simplify]: Simplify (* 1 1) into 1
2.035 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.035 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.035 * [taylor]: Taking taylor expansion of 1 in J
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [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)))
2.035 * [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)))
2.035 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.036 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.036 * [backup-simplify]: Simplify (+ 0) into 0
2.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.037 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.038 * [backup-simplify]: Simplify (- 0) into 0
2.038 * [backup-simplify]: Simplify (+ 0 0) into 0
2.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.039 * [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
2.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.039 * [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
2.039 * [taylor]: Taking taylor expansion of -2 in U
2.039 * [backup-simplify]: Simplify -2 into -2
2.039 * [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
2.039 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.040 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.040 * [taylor]: Taking taylor expansion of 1/2 in U
2.040 * [backup-simplify]: Simplify 1/2 into 1/2
2.040 * [taylor]: Taking taylor expansion of K in U
2.040 * [backup-simplify]: Simplify K into K
2.040 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.040 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.040 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.040 * [taylor]: Taking taylor expansion of J in U
2.040 * [backup-simplify]: Simplify J into J
2.040 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.040 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.040 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.040 * [taylor]: Taking taylor expansion of 1/4 in U
2.040 * [backup-simplify]: Simplify 1/4 into 1/4
2.040 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.040 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.040 * [taylor]: Taking taylor expansion of U in U
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 1 into 1
2.040 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.040 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.040 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.040 * [taylor]: Taking taylor expansion of 1/2 in U
2.040 * [backup-simplify]: Simplify 1/2 into 1/2
2.040 * [taylor]: Taking taylor expansion of K in U
2.040 * [backup-simplify]: Simplify K into K
2.040 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.040 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.040 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.040 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.040 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.040 * [backup-simplify]: Simplify (- 0) into 0
2.041 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.041 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.041 * [taylor]: Taking taylor expansion of J in U
2.041 * [backup-simplify]: Simplify J into J
2.041 * [backup-simplify]: Simplify (* 1 1) into 1
2.041 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.041 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.041 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.041 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.041 * [taylor]: Taking taylor expansion of 1 in U
2.041 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (+ 0 1) into 1
2.042 * [backup-simplify]: Simplify (sqrt 1) into 1
2.042 * [backup-simplify]: Simplify (+ 0 0) into 0
2.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.042 * [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
2.042 * [taylor]: Taking taylor expansion of -2 in U
2.042 * [backup-simplify]: Simplify -2 into -2
2.042 * [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
2.042 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.042 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.043 * [taylor]: Taking taylor expansion of 1/2 in U
2.043 * [backup-simplify]: Simplify 1/2 into 1/2
2.043 * [taylor]: Taking taylor expansion of K in U
2.043 * [backup-simplify]: Simplify K into K
2.043 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.043 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.043 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.043 * [taylor]: Taking taylor expansion of J in U
2.043 * [backup-simplify]: Simplify J into J
2.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.043 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.043 * [taylor]: Taking taylor expansion of 1/4 in U
2.043 * [backup-simplify]: Simplify 1/4 into 1/4
2.043 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.043 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.043 * [taylor]: Taking taylor expansion of U in U
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify 1 into 1
2.043 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.043 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.043 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.043 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.043 * [taylor]: Taking taylor expansion of 1/2 in U
2.043 * [backup-simplify]: Simplify 1/2 into 1/2
2.043 * [taylor]: Taking taylor expansion of K in U
2.043 * [backup-simplify]: Simplify K into K
2.043 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.043 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.043 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.043 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.043 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.043 * [backup-simplify]: Simplify (- 0) into 0
2.043 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.044 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.044 * [taylor]: Taking taylor expansion of J in U
2.044 * [backup-simplify]: Simplify J into J
2.044 * [backup-simplify]: Simplify (* 1 1) into 1
2.044 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.044 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.044 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.044 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.044 * [taylor]: Taking taylor expansion of 1 in U
2.044 * [backup-simplify]: Simplify 1 into 1
2.045 * [backup-simplify]: Simplify (+ 0 1) into 1
2.045 * [backup-simplify]: Simplify (sqrt 1) into 1
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.046 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.046 * [backup-simplify]: Simplify (- 0) into 0
2.046 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
2.046 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
2.046 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
2.046 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
2.046 * [taylor]: Taking taylor expansion of -2 in J
2.046 * [backup-simplify]: Simplify -2 into -2
2.046 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.046 * [taylor]: Taking taylor expansion of 1/2 in J
2.046 * [backup-simplify]: Simplify 1/2 into 1/2
2.046 * [taylor]: Taking taylor expansion of K in J
2.046 * [backup-simplify]: Simplify K into K
2.046 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.046 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.046 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.047 * [taylor]: Taking taylor expansion of J in J
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [backup-simplify]: Simplify (+ 0) into 0
2.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.048 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.049 * [backup-simplify]: Simplify (- 0) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
2.049 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
2.050 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
2.050 * [taylor]: Taking taylor expansion of 0 in J
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.050 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.050 * [backup-simplify]: Simplify (- 0) into 0
2.050 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.050 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.050 * [backup-simplify]: Simplify (* -2 0) into 0
2.050 * [taylor]: Taking taylor expansion of 0 in K
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [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)))
2.051 * [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))))
2.052 * [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)))
2.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.054 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.054 * [backup-simplify]: Simplify (- 0) into 0
2.054 * [backup-simplify]: Simplify (+ 0 0) into 0
2.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
2.055 * [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)))
2.056 * [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))))
2.056 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
2.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
2.056 * [taylor]: Taking taylor expansion of 1/4 in J
2.056 * [backup-simplify]: Simplify 1/4 into 1/4
2.056 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
2.056 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.056 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.056 * [taylor]: Taking taylor expansion of 1/2 in J
2.056 * [backup-simplify]: Simplify 1/2 into 1/2
2.056 * [taylor]: Taking taylor expansion of K in J
2.056 * [backup-simplify]: Simplify K into K
2.056 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.056 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.056 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.056 * [taylor]: Taking taylor expansion of J in J
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.056 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.056 * [backup-simplify]: Simplify (- 0) into 0
2.056 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.057 * [backup-simplify]: Simplify (+ 0) into 0
2.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.058 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.058 * [backup-simplify]: Simplify (- 0) into 0
2.059 * [backup-simplify]: Simplify (+ 0 0) into 0
2.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.059 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
2.059 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
2.059 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
2.059 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
2.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
2.059 * [taylor]: Taking taylor expansion of 1/4 in K
2.059 * [backup-simplify]: Simplify 1/4 into 1/4
2.059 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
2.059 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.059 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.059 * [taylor]: Taking taylor expansion of 1/2 in K
2.059 * [backup-simplify]: Simplify 1/2 into 1/2
2.059 * [taylor]: Taking taylor expansion of K in K
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 1 into 1
2.060 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.060 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.060 * [backup-simplify]: Simplify (/ 1 1) into 1
2.061 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.061 * [backup-simplify]: Simplify (- 1/4) into -1/4
2.061 * [backup-simplify]: Simplify -1/4 into -1/4
2.061 * [taylor]: Taking taylor expansion of 0 in K
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify (+ 0) into 0
2.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.063 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.063 * [backup-simplify]: Simplify (- 0) into 0
2.063 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.064 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
2.064 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
2.064 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.064 * [taylor]: Taking taylor expansion of 2 in K
2.064 * [backup-simplify]: Simplify 2 into 2
2.064 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.064 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.064 * [taylor]: Taking taylor expansion of 1/2 in K
2.064 * [backup-simplify]: Simplify 1/2 into 1/2
2.064 * [taylor]: Taking taylor expansion of K in K
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.065 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.066 * [backup-simplify]: Simplify (* 2 1) into 2
2.066 * [backup-simplify]: Simplify (- 2) into -2
2.066 * [backup-simplify]: Simplify -2 into -2
2.066 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.067 * [backup-simplify]: Simplify (+ 0) into 0
2.068 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.070 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.070 * [backup-simplify]: Simplify (- 0) into 0
2.070 * [backup-simplify]: Simplify (+ 0 0) into 0
2.070 * [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 (pow J 2))) into 0
2.071 * [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
2.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.076 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.080 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.081 * [backup-simplify]: Simplify (- 0) into 0
2.081 * [backup-simplify]: Simplify (+ 0 0) into 0
2.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.082 * [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
2.082 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
2.083 * [taylor]: Taking taylor expansion of 0 in J
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.084 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.085 * [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
2.085 * [backup-simplify]: Simplify (+ 0 0) into 0
2.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
2.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
2.086 * [backup-simplify]: Simplify (- 0) into 0
2.086 * [taylor]: Taking taylor expansion of 0 in K
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 0 into 0
2.087 * [taylor]: Taking taylor expansion of 0 in K
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.087 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.089 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.089 * [backup-simplify]: Simplify (- 0) into 0
2.089 * [backup-simplify]: Simplify (+ 0 0) into 0
2.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.090 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.090 * [taylor]: Taking taylor expansion of 0 in K
2.090 * [backup-simplify]: Simplify 0 into 0
2.090 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify (+ 0) into 0
2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.092 * [backup-simplify]: Simplify (- 0) into 0
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
2.092 * [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)))
2.092 * [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
2.092 * [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
2.092 * [taylor]: Taking taylor expansion of -2 in K
2.092 * [backup-simplify]: Simplify -2 into -2
2.092 * [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
2.092 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.092 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.092 * [taylor]: Taking taylor expansion of 1/4 in K
2.092 * [backup-simplify]: Simplify 1/4 into 1/4
2.092 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.092 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.093 * [taylor]: Taking taylor expansion of J in K
2.093 * [backup-simplify]: Simplify J into J
2.093 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.093 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.093 * [taylor]: Taking taylor expansion of U in K
2.093 * [backup-simplify]: Simplify U into U
2.093 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.093 * [taylor]: Taking taylor expansion of 1/2 in K
2.093 * [backup-simplify]: Simplify 1/2 into 1/2
2.093 * [taylor]: Taking taylor expansion of K in K
2.093 * [backup-simplify]: Simplify 0 into 0
2.093 * [backup-simplify]: Simplify 1 into 1
2.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.093 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.093 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.093 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.093 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.093 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.093 * [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)))
2.093 * [taylor]: Taking taylor expansion of 1 in K
2.093 * [backup-simplify]: Simplify 1 into 1
2.094 * [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))))
2.094 * [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)
2.094 * [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))
2.094 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.094 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.094 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.095 * [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
2.095 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.095 * [backup-simplify]: Simplify (+ 0 0) into 0
2.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.096 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.096 * [taylor]: Taking taylor expansion of 1/2 in K
2.096 * [backup-simplify]: Simplify 1/2 into 1/2
2.096 * [taylor]: Taking taylor expansion of K in K
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify 1 into 1
2.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.096 * [taylor]: Taking taylor expansion of J in K
2.096 * [backup-simplify]: Simplify J into J
2.096 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.096 * [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
2.096 * [taylor]: Taking taylor expansion of -2 in J
2.096 * [backup-simplify]: Simplify -2 into -2
2.096 * [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
2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.096 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.096 * [taylor]: Taking taylor expansion of 1/4 in J
2.096 * [backup-simplify]: Simplify 1/4 into 1/4
2.096 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.096 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.096 * [taylor]: Taking taylor expansion of J in J
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify 1 into 1
2.096 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.096 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.096 * [taylor]: Taking taylor expansion of U in J
2.096 * [backup-simplify]: Simplify U into U
2.096 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.097 * [taylor]: Taking taylor expansion of 1/2 in J
2.097 * [backup-simplify]: Simplify 1/2 into 1/2
2.097 * [taylor]: Taking taylor expansion of K in J
2.097 * [backup-simplify]: Simplify K into K
2.097 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.097 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.097 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.097 * [backup-simplify]: Simplify (- 0) into 0
2.097 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.097 * [backup-simplify]: Simplify (* 1 1) into 1
2.097 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.098 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.098 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.098 * [taylor]: Taking taylor expansion of 1 in J
2.098 * [backup-simplify]: Simplify 1 into 1
2.098 * [backup-simplify]: Simplify (+ 0 1) into 1
2.098 * [backup-simplify]: Simplify (sqrt 1) into 1
2.098 * [backup-simplify]: Simplify (+ 0 0) into 0
2.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.099 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.099 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.099 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.099 * [taylor]: Taking taylor expansion of 1/2 in J
2.099 * [backup-simplify]: Simplify 1/2 into 1/2
2.099 * [taylor]: Taking taylor expansion of K in J
2.099 * [backup-simplify]: Simplify K into K
2.099 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.099 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.099 * [taylor]: Taking taylor expansion of J in J
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 1 into 1
2.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.099 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.100 * [backup-simplify]: Simplify (- 0) into 0
2.100 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.100 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.100 * [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
2.100 * [taylor]: Taking taylor expansion of -2 in U
2.100 * [backup-simplify]: Simplify -2 into -2
2.100 * [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
2.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.100 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.100 * [taylor]: Taking taylor expansion of 1/4 in U
2.100 * [backup-simplify]: Simplify 1/4 into 1/4
2.100 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.100 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.100 * [taylor]: Taking taylor expansion of J in U
2.100 * [backup-simplify]: Simplify J into J
2.100 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.100 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.100 * [taylor]: Taking taylor expansion of U in U
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 1 into 1
2.100 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.100 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.100 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.100 * [taylor]: Taking taylor expansion of 1/2 in U
2.100 * [backup-simplify]: Simplify 1/2 into 1/2
2.100 * [taylor]: Taking taylor expansion of K in U
2.100 * [backup-simplify]: Simplify K into K
2.100 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.100 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.100 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.100 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.100 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.101 * [backup-simplify]: Simplify (- 0) into 0
2.101 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.101 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.101 * [backup-simplify]: Simplify (* 1 1) into 1
2.101 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.101 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.101 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.101 * [taylor]: Taking taylor expansion of 1 in U
2.101 * [backup-simplify]: Simplify 1 into 1
2.101 * [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)))
2.101 * [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)))
2.102 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.102 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.102 * [backup-simplify]: Simplify (+ 0) into 0
2.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.103 * [backup-simplify]: Simplify (- 0) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.105 * [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))))) into 0
2.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.106 * [backup-simplify]: Simplify (+ 0 0) into 0
2.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.106 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.106 * [taylor]: Taking taylor expansion of 1/2 in U
2.106 * [backup-simplify]: Simplify 1/2 into 1/2
2.106 * [taylor]: Taking taylor expansion of K in U
2.106 * [backup-simplify]: Simplify K into K
2.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.106 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.106 * [taylor]: Taking taylor expansion of J in U
2.106 * [backup-simplify]: Simplify J into J
2.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.107 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.107 * [backup-simplify]: Simplify (- 0) into 0
2.107 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.107 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.107 * [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
2.107 * [taylor]: Taking taylor expansion of -2 in U
2.107 * [backup-simplify]: Simplify -2 into -2
2.107 * [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
2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.107 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.107 * [taylor]: Taking taylor expansion of 1/4 in U
2.107 * [backup-simplify]: Simplify 1/4 into 1/4
2.107 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.107 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.107 * [taylor]: Taking taylor expansion of J in U
2.107 * [backup-simplify]: Simplify J into J
2.107 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.107 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.107 * [taylor]: Taking taylor expansion of U in U
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 1 into 1
2.107 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.107 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.107 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.107 * [taylor]: Taking taylor expansion of 1/2 in U
2.107 * [backup-simplify]: Simplify 1/2 into 1/2
2.107 * [taylor]: Taking taylor expansion of K in U
2.107 * [backup-simplify]: Simplify K into K
2.107 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.107 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.107 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.107 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.108 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.108 * [backup-simplify]: Simplify (- 0) into 0
2.108 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.108 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.108 * [backup-simplify]: Simplify (* 1 1) into 1
2.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.109 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.109 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.109 * [taylor]: Taking taylor expansion of 1 in U
2.109 * [backup-simplify]: Simplify 1 into 1
2.109 * [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)))
2.109 * [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)))
2.110 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.110 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.110 * [backup-simplify]: Simplify (+ 0) into 0
2.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.112 * [backup-simplify]: Simplify (- 0) into 0
2.113 * [backup-simplify]: Simplify (+ 0 0) into 0
2.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.114 * [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
2.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.115 * [backup-simplify]: Simplify (+ 0 0) into 0
2.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.116 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.116 * [taylor]: Taking taylor expansion of 1/2 in U
2.116 * [backup-simplify]: Simplify 1/2 into 1/2
2.116 * [taylor]: Taking taylor expansion of K in U
2.116 * [backup-simplify]: Simplify K into K
2.116 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.116 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.116 * [taylor]: Taking taylor expansion of J in U
2.116 * [backup-simplify]: Simplify J into J
2.116 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.116 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.117 * [backup-simplify]: Simplify (- 0) into 0
2.117 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.117 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.117 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
2.117 * [backup-simplify]: Simplify (* -2 1/2) into -1
2.118 * [taylor]: Taking taylor expansion of -1 in J
2.118 * [backup-simplify]: Simplify -1 into -1
2.118 * [backup-simplify]: Simplify (+ 0) into 0
2.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.120 * [backup-simplify]: Simplify (- 0) into 0
2.120 * [backup-simplify]: Simplify (+ 0 0) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
2.121 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
2.122 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
2.122 * [taylor]: Taking taylor expansion of 0 in J
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [taylor]: Taking taylor expansion of -1 in K
2.122 * [backup-simplify]: Simplify -1 into -1
2.122 * [backup-simplify]: Simplify -1 into -1
2.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.123 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.123 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.125 * [backup-simplify]: Simplify (- 0) into 0
2.125 * [backup-simplify]: Simplify (+ 0 0) into 0
2.126 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.126 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.129 * [backup-simplify]: Simplify (- 0) into 0
2.130 * [backup-simplify]: Simplify (+ 0 0) into 0
2.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.132 * [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))))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.134 * [backup-simplify]: Simplify (+ 0 1) into 1
2.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.135 * [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))
2.136 * [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))))
2.136 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
2.136 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
2.136 * [taylor]: Taking taylor expansion of 2 in J
2.136 * [backup-simplify]: Simplify 2 into 2
2.136 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
2.136 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.136 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.136 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.136 * [taylor]: Taking taylor expansion of 1/2 in J
2.136 * [backup-simplify]: Simplify 1/2 into 1/2
2.136 * [taylor]: Taking taylor expansion of K in J
2.136 * [backup-simplify]: Simplify K into K
2.136 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.136 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.137 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.137 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.137 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.137 * [backup-simplify]: Simplify (- 0) into 0
2.137 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.137 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.137 * [taylor]: Taking taylor expansion of J in J
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.138 * [backup-simplify]: Simplify (* 1 1) into 1
2.138 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
2.138 * [backup-simplify]: Simplify (+ 0) into 0
2.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.140 * [backup-simplify]: Simplify (- 0) into 0
2.141 * [backup-simplify]: Simplify (+ 0 0) into 0
2.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
2.143 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.143 * [backup-simplify]: Simplify (- 0) into 0
2.143 * [taylor]: Taking taylor expansion of 0 in K
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [taylor]: Taking taylor expansion of 0 in K
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [taylor]: Taking taylor expansion of 0 in K
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.148 * [backup-simplify]: Simplify (- 0) into 0
2.148 * [backup-simplify]: Simplify (+ 0 0) into 0
2.148 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.149 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.150 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.154 * [backup-simplify]: Simplify (- 0) into 0
2.154 * [backup-simplify]: Simplify (+ 0 0) into 0
2.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.158 * [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
2.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.160 * [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
2.162 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.162 * [taylor]: Taking taylor expansion of 0 in J
2.162 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.165 * [backup-simplify]: Simplify (- 0) into 0
2.166 * [backup-simplify]: Simplify (+ 0 0) into 0
2.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.170 * [backup-simplify]: Simplify (- 0) into 0
2.170 * [taylor]: Taking taylor expansion of 0 in K
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [taylor]: Taking taylor expansion of 0 in K
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
2.171 * [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))))))))
2.171 * [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
2.171 * [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
2.171 * [taylor]: Taking taylor expansion of 2 in K
2.171 * [backup-simplify]: Simplify 2 into 2
2.171 * [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
2.171 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.171 * [taylor]: Taking taylor expansion of -1/2 in K
2.171 * [backup-simplify]: Simplify -1/2 into -1/2
2.171 * [taylor]: Taking taylor expansion of K in K
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify 1 into 1
2.172 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.172 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.172 * [taylor]: Taking taylor expansion of J in K
2.172 * [backup-simplify]: Simplify J into J
2.172 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.172 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.172 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.172 * [taylor]: Taking taylor expansion of 1 in K
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.172 * [taylor]: Taking taylor expansion of 1/4 in K
2.172 * [backup-simplify]: Simplify 1/4 into 1/4
2.172 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.172 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.172 * [taylor]: Taking taylor expansion of J in K
2.172 * [backup-simplify]: Simplify J into J
2.172 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.172 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.172 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.172 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.172 * [taylor]: Taking taylor expansion of -1/2 in K
2.172 * [backup-simplify]: Simplify -1/2 into -1/2
2.172 * [taylor]: Taking taylor expansion of K in K
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.173 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.173 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.173 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.173 * [taylor]: Taking taylor expansion of U in K
2.173 * [backup-simplify]: Simplify U into U
2.173 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.173 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.173 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.173 * [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)))
2.174 * [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))))
2.174 * [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)))))
2.174 * [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))))))
2.175 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.175 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.175 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.175 * [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
2.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.177 * [backup-simplify]: Simplify (+ 0 0) into 0
2.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.177 * [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
2.177 * [taylor]: Taking taylor expansion of 2 in J
2.177 * [backup-simplify]: Simplify 2 into 2
2.177 * [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
2.177 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.177 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.177 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.177 * [taylor]: Taking taylor expansion of -1/2 in J
2.177 * [backup-simplify]: Simplify -1/2 into -1/2
2.177 * [taylor]: Taking taylor expansion of K in J
2.177 * [backup-simplify]: Simplify K into K
2.177 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.177 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.177 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.177 * [taylor]: Taking taylor expansion of J in J
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.177 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.178 * [backup-simplify]: Simplify (- 0) into 0
2.178 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.178 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.178 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.178 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.178 * [taylor]: Taking taylor expansion of 1 in J
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.178 * [taylor]: Taking taylor expansion of 1/4 in J
2.178 * [backup-simplify]: Simplify 1/4 into 1/4
2.178 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.178 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.178 * [taylor]: Taking taylor expansion of J in J
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.178 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.178 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.178 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.178 * [taylor]: Taking taylor expansion of -1/2 in J
2.178 * [backup-simplify]: Simplify -1/2 into -1/2
2.178 * [taylor]: Taking taylor expansion of K in J
2.178 * [backup-simplify]: Simplify K into K
2.178 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.178 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.178 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.178 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.178 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.178 * [backup-simplify]: Simplify (- 0) into 0
2.179 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.179 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.179 * [taylor]: Taking taylor expansion of U in J
2.179 * [backup-simplify]: Simplify U into U
2.179 * [backup-simplify]: Simplify (* 1 1) into 1
2.179 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.179 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.179 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.179 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.179 * [backup-simplify]: Simplify (+ 1 0) into 1
2.180 * [backup-simplify]: Simplify (sqrt 1) into 1
2.180 * [backup-simplify]: Simplify (+ 0 0) into 0
2.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.180 * [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
2.180 * [taylor]: Taking taylor expansion of 2 in U
2.180 * [backup-simplify]: Simplify 2 into 2
2.180 * [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
2.180 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.180 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.180 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.180 * [taylor]: Taking taylor expansion of -1/2 in U
2.180 * [backup-simplify]: Simplify -1/2 into -1/2
2.180 * [taylor]: Taking taylor expansion of K in U
2.180 * [backup-simplify]: Simplify K into K
2.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.181 * [taylor]: Taking taylor expansion of J in U
2.181 * [backup-simplify]: Simplify J into J
2.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.181 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.181 * [backup-simplify]: Simplify (- 0) into 0
2.181 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.181 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.181 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.181 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.181 * [taylor]: Taking taylor expansion of 1 in U
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.181 * [taylor]: Taking taylor expansion of 1/4 in U
2.181 * [backup-simplify]: Simplify 1/4 into 1/4
2.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.181 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.181 * [taylor]: Taking taylor expansion of J in U
2.181 * [backup-simplify]: Simplify J into J
2.181 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.181 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.181 * [taylor]: Taking taylor expansion of -1/2 in U
2.181 * [backup-simplify]: Simplify -1/2 into -1/2
2.181 * [taylor]: Taking taylor expansion of K in U
2.181 * [backup-simplify]: Simplify K into K
2.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.182 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.182 * [backup-simplify]: Simplify (- 0) into 0
2.182 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.182 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.182 * [taylor]: Taking taylor expansion of U in U
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.182 * [backup-simplify]: Simplify (* 1 1) into 1
2.182 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.183 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.183 * [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)))
2.183 * [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)))
2.183 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.183 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.184 * [backup-simplify]: Simplify (+ 0) into 0
2.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.185 * [backup-simplify]: Simplify (- 0) into 0
2.185 * [backup-simplify]: Simplify (+ 0 0) into 0
2.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.186 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.186 * [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
2.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.187 * [backup-simplify]: Simplify (+ 0 0) into 0
2.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.187 * [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
2.187 * [taylor]: Taking taylor expansion of 2 in U
2.187 * [backup-simplify]: Simplify 2 into 2
2.187 * [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
2.187 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.187 * [taylor]: Taking taylor expansion of -1/2 in U
2.187 * [backup-simplify]: Simplify -1/2 into -1/2
2.187 * [taylor]: Taking taylor expansion of K in U
2.187 * [backup-simplify]: Simplify K into K
2.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.187 * [taylor]: Taking taylor expansion of J in U
2.187 * [backup-simplify]: Simplify J into J
2.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.187 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.188 * [backup-simplify]: Simplify (- 0) into 0
2.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.188 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.188 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.188 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.188 * [taylor]: Taking taylor expansion of 1 in U
2.188 * [backup-simplify]: Simplify 1 into 1
2.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.188 * [taylor]: Taking taylor expansion of 1/4 in U
2.188 * [backup-simplify]: Simplify 1/4 into 1/4
2.188 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.188 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.188 * [taylor]: Taking taylor expansion of J in U
2.188 * [backup-simplify]: Simplify J into J
2.188 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.188 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.188 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.188 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.188 * [taylor]: Taking taylor expansion of -1/2 in U
2.188 * [backup-simplify]: Simplify -1/2 into -1/2
2.188 * [taylor]: Taking taylor expansion of K in U
2.188 * [backup-simplify]: Simplify K into K
2.188 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.188 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.188 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.188 * [backup-simplify]: Simplify (- 0) into 0
2.189 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.189 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.189 * [taylor]: Taking taylor expansion of U in U
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 1 into 1
2.189 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.189 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.189 * [backup-simplify]: Simplify (* 1 1) into 1
2.189 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.189 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.189 * [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)))
2.189 * [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)))
2.190 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.190 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.190 * [backup-simplify]: Simplify (+ 0) into 0
2.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.194 * [backup-simplify]: Simplify (- 0) into 0
2.194 * [backup-simplify]: Simplify (+ 0 0) into 0
2.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.195 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.195 * [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
2.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.196 * [backup-simplify]: Simplify (+ 0 0) into 0
2.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.196 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
2.196 * [backup-simplify]: Simplify (* 2 1/2) into 1
2.196 * [taylor]: Taking taylor expansion of 1 in J
2.196 * [backup-simplify]: Simplify 1 into 1
2.197 * [backup-simplify]: Simplify (+ 0) into 0
2.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.198 * [backup-simplify]: Simplify (- 0) into 0
2.198 * [backup-simplify]: Simplify (+ 0 0) into 0
2.198 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
2.198 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
2.199 * [taylor]: Taking taylor expansion of 0 in J
2.199 * [backup-simplify]: Simplify 0 into 0
2.199 * [taylor]: Taking taylor expansion of 1 in K
2.199 * [backup-simplify]: Simplify 1 into 1
2.199 * [backup-simplify]: Simplify 1 into 1
2.199 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.203 * [backup-simplify]: Simplify (- 0) into 0
2.203 * [backup-simplify]: Simplify (+ 0 0) into 0
2.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.205 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.206 * [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
2.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.207 * [backup-simplify]: Simplify (+ 1 0) into 1
2.208 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.212 * [backup-simplify]: Simplify (- 0) into 0
2.212 * [backup-simplify]: Simplify (+ 0 0) into 0
2.212 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.213 * [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))
2.214 * [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)))
2.214 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
2.214 * [taylor]: Taking taylor expansion of 2 in J
2.214 * [backup-simplify]: Simplify 2 into 2
2.214 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
2.214 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.214 * [taylor]: Taking taylor expansion of -1/2 in J
2.214 * [backup-simplify]: Simplify -1/2 into -1/2
2.214 * [taylor]: Taking taylor expansion of K in J
2.214 * [backup-simplify]: Simplify K into K
2.214 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.214 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.214 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.215 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.215 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.215 * [backup-simplify]: Simplify (- 0) into 0
2.215 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.215 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.215 * [taylor]: Taking taylor expansion of J in J
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.216 * [backup-simplify]: Simplify (* 1 1) into 1
2.216 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.216 * [backup-simplify]: Simplify (+ 0) into 0
2.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.217 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.218 * [backup-simplify]: Simplify (- 0) into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
2.219 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
2.219 * [taylor]: Taking taylor expansion of 0 in K
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [taylor]: Taking taylor expansion of 0 in K
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [taylor]: Taking taylor expansion of 0 in K
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.221 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.222 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.223 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.223 * [backup-simplify]: Simplify (- 0) into 0
2.224 * [backup-simplify]: Simplify (+ 0 0) into 0
2.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.225 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.225 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.226 * [backup-simplify]: Simplify (+ 0 0) into 0
2.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.227 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.229 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.229 * [backup-simplify]: Simplify (- 0) into 0
2.229 * [backup-simplify]: Simplify (+ 0 0) into 0
2.229 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.230 * [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
2.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.230 * [taylor]: Taking taylor expansion of 0 in J
2.230 * [backup-simplify]: Simplify 0 into 0
2.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.233 * [backup-simplify]: Simplify (- 0) into 0
2.233 * [backup-simplify]: Simplify (+ 0 0) into 0
2.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
2.235 * [taylor]: Taking taylor expansion of 0 in K
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [taylor]: Taking taylor expansion of 0 in K
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
2.235 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
2.236 * [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))))
2.236 * [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
2.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.236 * [taylor]: Taking taylor expansion of 1/4 in K
2.236 * [backup-simplify]: Simplify 1/4 into 1/4
2.236 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.236 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.236 * [taylor]: Taking taylor expansion of U in K
2.236 * [backup-simplify]: Simplify U into U
2.236 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.236 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.236 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.236 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.236 * [taylor]: Taking taylor expansion of 1/2 in K
2.236 * [backup-simplify]: Simplify 1/2 into 1/2
2.236 * [taylor]: Taking taylor expansion of K in K
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.237 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.237 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.237 * [taylor]: Taking taylor expansion of J in K
2.237 * [backup-simplify]: Simplify J into J
2.237 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.237 * [backup-simplify]: Simplify (* 1 1) into 1
2.237 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.237 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.237 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.237 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.237 * [taylor]: Taking taylor expansion of 1/4 in J
2.237 * [backup-simplify]: Simplify 1/4 into 1/4
2.237 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.237 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.237 * [taylor]: Taking taylor expansion of U in J
2.237 * [backup-simplify]: Simplify U into U
2.237 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.237 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.237 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.237 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.237 * [taylor]: Taking taylor expansion of 1/2 in J
2.237 * [backup-simplify]: Simplify 1/2 into 1/2
2.237 * [taylor]: Taking taylor expansion of K in J
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
2.238 * [backup-simplify]: Simplify (- 0) into 0
2.238 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.238 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.238 * [taylor]: Taking taylor expansion of J in J
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 1 into 1
2.238 * [backup-simplify]: Simplify (* U U) into (pow U 2)
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 1) into 1
2.238 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.238 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.238 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.238 * [taylor]: Taking taylor expansion of 1/4 in U
2.238 * [backup-simplify]: Simplify 1/4 into 1/4
2.238 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.238 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.239 * [taylor]: Taking taylor expansion of U in U
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 1 into 1
2.239 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.239 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.239 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.239 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.239 * [taylor]: Taking taylor expansion of 1/2 in U
2.239 * [backup-simplify]: Simplify 1/2 into 1/2
2.239 * [taylor]: Taking taylor expansion of K in U
2.239 * [backup-simplify]: Simplify K into K
2.239 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.239 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.239 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.239 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.239 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.239 * [backup-simplify]: Simplify (- 0) into 0
2.239 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.239 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.239 * [taylor]: Taking taylor expansion of J in U
2.239 * [backup-simplify]: Simplify J into J
2.239 * [backup-simplify]: Simplify (* 1 1) into 1
2.240 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.240 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.240 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.240 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.240 * [taylor]: Taking taylor expansion of 1/4 in U
2.240 * [backup-simplify]: Simplify 1/4 into 1/4
2.240 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.240 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.240 * [taylor]: Taking taylor expansion of U in U
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.240 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.240 * [taylor]: Taking taylor expansion of 1/2 in U
2.240 * [backup-simplify]: Simplify 1/2 into 1/2
2.240 * [taylor]: Taking taylor expansion of K in U
2.240 * [backup-simplify]: Simplify K into K
2.240 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.240 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.240 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.240 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.240 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.241 * [backup-simplify]: Simplify (- 0) into 0
2.241 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.241 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.241 * [taylor]: Taking taylor expansion of J in U
2.241 * [backup-simplify]: Simplify J into J
2.241 * [backup-simplify]: Simplify (* 1 1) into 1
2.241 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.241 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.241 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.241 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.241 * [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)))
2.241 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.241 * [taylor]: Taking taylor expansion of 1/4 in J
2.241 * [backup-simplify]: Simplify 1/4 into 1/4
2.241 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.241 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.241 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.241 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.242 * [taylor]: Taking taylor expansion of 1/2 in J
2.242 * [backup-simplify]: Simplify 1/2 into 1/2
2.242 * [taylor]: Taking taylor expansion of K in J
2.242 * [backup-simplify]: Simplify K into K
2.242 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.242 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.242 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.242 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.242 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.242 * [backup-simplify]: Simplify (- 0) into 0
2.242 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.242 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.242 * [taylor]: Taking taylor expansion of J in J
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify 1 into 1
2.242 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.242 * [backup-simplify]: Simplify (* 1 1) into 1
2.243 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.243 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
2.243 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
2.243 * [taylor]: Taking taylor expansion of 1/4 in K
2.243 * [backup-simplify]: Simplify 1/4 into 1/4
2.243 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.243 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.243 * [taylor]: Taking taylor expansion of 1/2 in K
2.243 * [backup-simplify]: Simplify 1/2 into 1/2
2.243 * [taylor]: Taking taylor expansion of K in K
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify 1 into 1
2.243 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.244 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.244 * [backup-simplify]: Simplify (* 1 1) into 1
2.244 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.244 * [backup-simplify]: Simplify 1/4 into 1/4
2.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.245 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.245 * [backup-simplify]: Simplify (+ 0) into 0
2.245 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.246 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.246 * [backup-simplify]: Simplify (- 0) into 0
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.247 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.247 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.247 * [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
2.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.248 * [taylor]: Taking taylor expansion of 0 in J
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.248 * [backup-simplify]: Simplify (+ 0) into 0
2.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.251 * [backup-simplify]: Simplify (- 0) into 0
2.251 * [backup-simplify]: Simplify (+ 0 0) into 0
2.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.252 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.252 * [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
2.252 * [taylor]: Taking taylor expansion of 0 in K
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify (+ 0) into 0
2.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.254 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.256 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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
2.260 * [backup-simplify]: Simplify (- 0) into 0
2.260 * [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
2.261 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
2.262 * [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
2.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.263 * [taylor]: Taking taylor expansion of 0 in J
2.263 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.267 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.268 * [backup-simplify]: Simplify (- 0) into 0
2.268 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.269 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.270 * [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
2.270 * [taylor]: Taking taylor expansion of 0 in K
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
2.272 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
2.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
2.273 * [backup-simplify]: Simplify 1/16 into 1/16
2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.275 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.281 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.281 * [backup-simplify]: Simplify (- 0) into 0
2.281 * [backup-simplify]: Simplify (+ 0 0) into 0
2.282 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.283 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
2.284 * [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
2.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
2.285 * [taylor]: Taking taylor expansion of 0 in J
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [taylor]: Taking taylor expansion of 0 in K
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.292 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.292 * [backup-simplify]: Simplify (- 0) into 0
2.293 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.294 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.295 * [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
2.295 * [taylor]: Taking taylor expansion of 0 in K
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.298 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.303 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
2.306 * [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
2.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
2.312 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.313 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
2.314 * [backup-simplify]: Simplify (- 0) into 0
2.314 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
2.316 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
2.318 * [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
2.319 * [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
2.319 * [taylor]: Taking taylor expansion of 0 in J
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [taylor]: Taking taylor expansion of 0 in K
2.319 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [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))))
2.320 * [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))))
2.320 * [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
2.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.321 * [taylor]: Taking taylor expansion of 1/4 in K
2.321 * [backup-simplify]: Simplify 1/4 into 1/4
2.321 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.321 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.321 * [taylor]: Taking taylor expansion of J in K
2.321 * [backup-simplify]: Simplify J into J
2.321 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.321 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.321 * [taylor]: Taking taylor expansion of U in K
2.321 * [backup-simplify]: Simplify U into U
2.321 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.321 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.321 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.321 * [taylor]: Taking taylor expansion of 1/2 in K
2.321 * [backup-simplify]: Simplify 1/2 into 1/2
2.321 * [taylor]: Taking taylor expansion of K in K
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.322 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.322 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.322 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.322 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.322 * [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)))
2.322 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.322 * [taylor]: Taking taylor expansion of 1/4 in J
2.322 * [backup-simplify]: Simplify 1/4 into 1/4
2.323 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.323 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.323 * [taylor]: Taking taylor expansion of J in J
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 1 into 1
2.323 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.323 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.323 * [taylor]: Taking taylor expansion of U in J
2.323 * [backup-simplify]: Simplify U into U
2.323 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.323 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.323 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.323 * [taylor]: Taking taylor expansion of 1/2 in J
2.323 * [backup-simplify]: Simplify 1/2 into 1/2
2.323 * [taylor]: Taking taylor expansion of K in J
2.323 * [backup-simplify]: Simplify K into K
2.323 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.323 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.323 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.323 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.323 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.324 * [backup-simplify]: Simplify (- 0) into 0
2.324 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.324 * [backup-simplify]: Simplify (* 1 1) into 1
2.324 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.324 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.325 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.325 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.325 * [taylor]: Taking taylor expansion of 1/4 in U
2.325 * [backup-simplify]: Simplify 1/4 into 1/4
2.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.325 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.325 * [taylor]: Taking taylor expansion of J in U
2.325 * [backup-simplify]: Simplify J into J
2.325 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.325 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.325 * [taylor]: Taking taylor expansion of U in U
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 1 into 1
2.325 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.325 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.325 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.325 * [taylor]: Taking taylor expansion of 1/2 in U
2.325 * [backup-simplify]: Simplify 1/2 into 1/2
2.325 * [taylor]: Taking taylor expansion of K in U
2.325 * [backup-simplify]: Simplify K into K
2.325 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.325 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.325 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.326 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.326 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.326 * [backup-simplify]: Simplify (- 0) into 0
2.326 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.326 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.327 * [backup-simplify]: Simplify (* 1 1) into 1
2.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.327 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.327 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.327 * [taylor]: Taking taylor expansion of 1/4 in U
2.327 * [backup-simplify]: Simplify 1/4 into 1/4
2.327 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.327 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.327 * [taylor]: Taking taylor expansion of J in U
2.327 * [backup-simplify]: Simplify J into J
2.327 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.327 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.327 * [taylor]: Taking taylor expansion of U in U
2.327 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify 1 into 1
2.327 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.327 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.327 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.327 * [taylor]: Taking taylor expansion of 1/2 in U
2.327 * [backup-simplify]: Simplify 1/2 into 1/2
2.327 * [taylor]: Taking taylor expansion of K in U
2.327 * [backup-simplify]: Simplify K into K
2.327 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.328 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.328 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.328 * [backup-simplify]: Simplify (- 0) into 0
2.328 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.328 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.329 * [backup-simplify]: Simplify (* 1 1) into 1
2.329 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.329 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.329 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.330 * [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)))
2.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
2.330 * [taylor]: Taking taylor expansion of 1/4 in J
2.330 * [backup-simplify]: Simplify 1/4 into 1/4
2.330 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
2.330 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.330 * [taylor]: Taking taylor expansion of J in J
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 1 into 1
2.330 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.330 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.330 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.330 * [taylor]: Taking taylor expansion of 1/2 in J
2.330 * [backup-simplify]: Simplify 1/2 into 1/2
2.330 * [taylor]: Taking taylor expansion of K in J
2.330 * [backup-simplify]: Simplify K into K
2.330 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.330 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.330 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.330 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.331 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.331 * [backup-simplify]: Simplify (- 0) into 0
2.331 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.331 * [backup-simplify]: Simplify (* 1 1) into 1
2.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.332 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
2.332 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.332 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
2.332 * [taylor]: Taking taylor expansion of 1/4 in K
2.332 * [backup-simplify]: Simplify 1/4 into 1/4
2.332 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.332 * [taylor]: Taking taylor expansion of 1/2 in K
2.332 * [backup-simplify]: Simplify 1/2 into 1/2
2.332 * [taylor]: Taking taylor expansion of K in K
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.333 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.333 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.333 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.333 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.333 * [backup-simplify]: Simplify (+ 0) into 0
2.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.336 * [backup-simplify]: Simplify (- 0) into 0
2.336 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.338 * [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
2.338 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.338 * [taylor]: Taking taylor expansion of 0 in J
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [taylor]: Taking taylor expansion of 0 in K
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.339 * [backup-simplify]: Simplify (+ 0) into 0
2.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.342 * [backup-simplify]: Simplify (- 0) into 0
2.342 * [backup-simplify]: Simplify (+ 0 0) into 0
2.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.342 * [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
2.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
2.343 * [taylor]: Taking taylor expansion of 0 in K
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.344 * [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
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.348 * [backup-simplify]: Simplify (- 0) into 0
2.348 * [backup-simplify]: Simplify (+ 0 0) into 0
2.349 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.351 * [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
2.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.352 * [taylor]: Taking taylor expansion of 0 in J
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [taylor]: Taking taylor expansion of 0 in K
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [taylor]: Taking taylor expansion of 0 in K
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.355 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.356 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.357 * [backup-simplify]: Simplify (- 0) into 0
2.357 * [backup-simplify]: Simplify (+ 0 0) into 0
2.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.358 * [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
2.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
2.359 * [taylor]: Taking taylor expansion of 0 in K
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [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))))
2.360 * [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))))
2.360 * [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
2.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.360 * [taylor]: Taking taylor expansion of 1/4 in K
2.360 * [backup-simplify]: Simplify 1/4 into 1/4
2.360 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.360 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.360 * [taylor]: Taking taylor expansion of J in K
2.360 * [backup-simplify]: Simplify J into J
2.360 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.360 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.360 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.360 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.360 * [taylor]: Taking taylor expansion of -1/2 in K
2.360 * [backup-simplify]: Simplify -1/2 into -1/2
2.360 * [taylor]: Taking taylor expansion of K in K
2.360 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 1 into 1
2.361 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.361 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.361 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.361 * [taylor]: Taking taylor expansion of U in K
2.361 * [backup-simplify]: Simplify U into U
2.361 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.361 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.361 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.362 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.362 * [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)))
2.362 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.362 * [taylor]: Taking taylor expansion of 1/4 in J
2.362 * [backup-simplify]: Simplify 1/4 into 1/4
2.362 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.362 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.362 * [taylor]: Taking taylor expansion of J in J
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 1 into 1
2.362 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.362 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.362 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.362 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.362 * [taylor]: Taking taylor expansion of -1/2 in J
2.362 * [backup-simplify]: Simplify -1/2 into -1/2
2.362 * [taylor]: Taking taylor expansion of K in J
2.362 * [backup-simplify]: Simplify K into K
2.362 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.362 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.363 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.363 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.363 * [backup-simplify]: Simplify (- 0) into 0
2.363 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.363 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.363 * [taylor]: Taking taylor expansion of U in J
2.363 * [backup-simplify]: Simplify U into U
2.364 * [backup-simplify]: Simplify (* 1 1) into 1
2.364 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.364 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.364 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.364 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.364 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.364 * [taylor]: Taking taylor expansion of 1/4 in U
2.364 * [backup-simplify]: Simplify 1/4 into 1/4
2.364 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.364 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.364 * [taylor]: Taking taylor expansion of J in U
2.364 * [backup-simplify]: Simplify J into J
2.364 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.365 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.365 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.365 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.365 * [taylor]: Taking taylor expansion of -1/2 in U
2.365 * [backup-simplify]: Simplify -1/2 into -1/2
2.365 * [taylor]: Taking taylor expansion of K in U
2.365 * [backup-simplify]: Simplify K into K
2.365 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.365 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.365 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.365 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.365 * [backup-simplify]: Simplify (- 0) into 0
2.366 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.366 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.366 * [taylor]: Taking taylor expansion of U in U
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 1 into 1
2.366 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.366 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.366 * [backup-simplify]: Simplify (* 1 1) into 1
2.366 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.367 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.367 * [taylor]: Taking taylor expansion of 1/4 in U
2.367 * [backup-simplify]: Simplify 1/4 into 1/4
2.367 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.367 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.367 * [taylor]: Taking taylor expansion of J in U
2.367 * [backup-simplify]: Simplify J into J
2.367 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.367 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.367 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.367 * [taylor]: Taking taylor expansion of -1/2 in U
2.367 * [backup-simplify]: Simplify -1/2 into -1/2
2.367 * [taylor]: Taking taylor expansion of K in U
2.367 * [backup-simplify]: Simplify K into K
2.367 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.367 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.367 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.368 * [backup-simplify]: Simplify (- 0) into 0
2.368 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.368 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.368 * [taylor]: Taking taylor expansion of U in U
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 1 into 1
2.368 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.369 * [backup-simplify]: Simplify (* 1 1) into 1
2.369 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.369 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.369 * [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)))
2.369 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
2.369 * [taylor]: Taking taylor expansion of 1/4 in J
2.369 * [backup-simplify]: Simplify 1/4 into 1/4
2.369 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
2.369 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.369 * [taylor]: Taking taylor expansion of J in J
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify 1 into 1
2.369 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.369 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.369 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.369 * [taylor]: Taking taylor expansion of -1/2 in J
2.370 * [backup-simplify]: Simplify -1/2 into -1/2
2.370 * [taylor]: Taking taylor expansion of K in J
2.370 * [backup-simplify]: Simplify K into K
2.370 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.370 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.370 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.370 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.370 * [backup-simplify]: Simplify (- 0) into 0
2.370 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.371 * [backup-simplify]: Simplify (* 1 1) into 1
2.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.371 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
2.371 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.371 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
2.372 * [taylor]: Taking taylor expansion of 1/4 in K
2.372 * [backup-simplify]: Simplify 1/4 into 1/4
2.372 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.372 * [taylor]: Taking taylor expansion of -1/2 in K
2.372 * [backup-simplify]: Simplify -1/2 into -1/2
2.372 * [taylor]: Taking taylor expansion of K in K
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.372 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.372 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.373 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.373 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.373 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.373 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.374 * [backup-simplify]: Simplify (+ 0) into 0
2.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.376 * [backup-simplify]: Simplify (- 0) into 0
2.377 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.377 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.378 * [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
2.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.379 * [taylor]: Taking taylor expansion of 0 in J
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [taylor]: Taking taylor expansion of 0 in K
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (+ 0) into 0
2.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.382 * [backup-simplify]: Simplify (- 0) into 0
2.382 * [backup-simplify]: Simplify (+ 0 0) into 0
2.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.383 * [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
2.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
2.383 * [taylor]: Taking taylor expansion of 0 in K
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.384 * [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
2.384 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.388 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.389 * [backup-simplify]: Simplify (- 0) into 0
2.390 * [backup-simplify]: Simplify (+ 0 0) into 0
2.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.391 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.392 * [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
2.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.393 * [taylor]: Taking taylor expansion of 0 in J
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [taylor]: Taking taylor expansion of 0 in K
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [taylor]: Taking taylor expansion of 0 in K
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.397 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.398 * [backup-simplify]: Simplify (- 0) into 0
2.398 * [backup-simplify]: Simplify (+ 0 0) into 0
2.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.399 * [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
2.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
2.400 * [taylor]: Taking taylor expansion of 0 in K
2.400 * [backup-simplify]: Simplify 0 into 0
2.400 * [backup-simplify]: Simplify 0 into 0
2.400 * [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))))
2.400 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2)
2.400 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
2.401 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
2.401 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
2.401 * [taylor]: Taking taylor expansion of 2 in K
2.401 * [backup-simplify]: Simplify 2 into 2
2.401 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.401 * [taylor]: Taking taylor expansion of 1/2 in K
2.401 * [backup-simplify]: Simplify 1/2 into 1/2
2.401 * [taylor]: Taking taylor expansion of K in K
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 1 into 1
2.401 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.402 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.402 * [taylor]: Taking taylor expansion of J in K
2.402 * [backup-simplify]: Simplify J into J
2.402 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.402 * [taylor]: Taking taylor expansion of 2 in J
2.402 * [backup-simplify]: Simplify 2 into 2
2.402 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.402 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.402 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.402 * [taylor]: Taking taylor expansion of 1/2 in J
2.402 * [backup-simplify]: Simplify 1/2 into 1/2
2.402 * [taylor]: Taking taylor expansion of K in J
2.402 * [backup-simplify]: Simplify K into K
2.402 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.402 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.402 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.402 * [taylor]: Taking taylor expansion of J in J
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify 1 into 1
2.402 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.402 * [taylor]: Taking taylor expansion of 2 in J
2.403 * [backup-simplify]: Simplify 2 into 2
2.403 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.403 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.403 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.403 * [taylor]: Taking taylor expansion of 1/2 in J
2.403 * [backup-simplify]: Simplify 1/2 into 1/2
2.403 * [taylor]: Taking taylor expansion of K in J
2.403 * [backup-simplify]: Simplify K into K
2.403 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.403 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.403 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.403 * [taylor]: Taking taylor expansion of J in J
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.403 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.404 * [backup-simplify]: Simplify (- 0) into 0
2.404 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.404 * [backup-simplify]: Simplify (* 2 0) into 0
2.404 * [taylor]: Taking taylor expansion of 0 in K
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify (+ 0) into 0
2.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.407 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.407 * [backup-simplify]: Simplify (- 0) into 0
2.407 * [backup-simplify]: Simplify (+ 0 0) into 0
2.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.408 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
2.408 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.408 * [taylor]: Taking taylor expansion of 2 in K
2.408 * [backup-simplify]: Simplify 2 into 2
2.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.408 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.408 * [taylor]: Taking taylor expansion of 1/2 in K
2.409 * [backup-simplify]: Simplify 1/2 into 1/2
2.409 * [taylor]: Taking taylor expansion of K in K
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 1 into 1
2.409 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.410 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.410 * [backup-simplify]: Simplify (* 2 1) into 2
2.410 * [backup-simplify]: Simplify 2 into 2
2.410 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.412 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.413 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.414 * [backup-simplify]: Simplify (- 0) into 0
2.415 * [backup-simplify]: Simplify (+ 0 0) into 0
2.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.416 * [taylor]: Taking taylor expansion of 0 in K
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (+ 0) into 0
2.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.422 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.423 * [backup-simplify]: Simplify (- 0) into 0
2.423 * [backup-simplify]: Simplify (+ 0 0) into 0
2.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
2.425 * [taylor]: Taking taylor expansion of 0 in K
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
2.425 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
2.425 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
2.425 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
2.425 * [taylor]: Taking taylor expansion of 2 in K
2.425 * [backup-simplify]: Simplify 2 into 2
2.425 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.425 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.425 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.425 * [taylor]: Taking taylor expansion of 1/2 in K
2.425 * [backup-simplify]: Simplify 1/2 into 1/2
2.425 * [taylor]: Taking taylor expansion of K in K
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.426 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.426 * [taylor]: Taking taylor expansion of J in K
2.426 * [backup-simplify]: Simplify J into J
2.426 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.426 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.426 * [taylor]: Taking taylor expansion of 2 in J
2.426 * [backup-simplify]: Simplify 2 into 2
2.426 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.426 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.426 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.426 * [taylor]: Taking taylor expansion of 1/2 in J
2.426 * [backup-simplify]: Simplify 1/2 into 1/2
2.426 * [taylor]: Taking taylor expansion of K in J
2.426 * [backup-simplify]: Simplify K into K
2.426 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.426 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.426 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.426 * [taylor]: Taking taylor expansion of J in J
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 1 into 1
2.426 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.426 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.426 * [backup-simplify]: Simplify (- 0) into 0
2.426 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.426 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.426 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.426 * [taylor]: Taking taylor expansion of 2 in J
2.426 * [backup-simplify]: Simplify 2 into 2
2.427 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.427 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.427 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.427 * [taylor]: Taking taylor expansion of 1/2 in J
2.427 * [backup-simplify]: Simplify 1/2 into 1/2
2.427 * [taylor]: Taking taylor expansion of K in J
2.427 * [backup-simplify]: Simplify K into K
2.427 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.427 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.427 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.427 * [taylor]: Taking taylor expansion of J in J
2.427 * [backup-simplify]: Simplify 0 into 0
2.427 * [backup-simplify]: Simplify 1 into 1
2.427 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.427 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.427 * [backup-simplify]: Simplify (- 0) into 0
2.427 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.427 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.427 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.427 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
2.427 * [taylor]: Taking taylor expansion of 2 in K
2.427 * [backup-simplify]: Simplify 2 into 2
2.427 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.427 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.428 * [taylor]: Taking taylor expansion of 1/2 in K
2.428 * [backup-simplify]: Simplify 1/2 into 1/2
2.428 * [taylor]: Taking taylor expansion of K in K
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.428 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.428 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.428 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.428 * [backup-simplify]: Simplify (+ 0) into 0
2.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.429 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.430 * [backup-simplify]: Simplify (- 0) into 0
2.430 * [backup-simplify]: Simplify (+ 0 0) into 0
2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.431 * [taylor]: Taking taylor expansion of 0 in K
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.433 * [backup-simplify]: Simplify (- 0) into 0
2.434 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.435 * [taylor]: Taking taylor expansion of 0 in K
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.438 * [backup-simplify]: Simplify (- 0) into 0
2.438 * [backup-simplify]: Simplify (+ 0 0) into 0
2.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.440 * [taylor]: Taking taylor expansion of 0 in K
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
2.441 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
2.441 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
2.441 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
2.441 * [taylor]: Taking taylor expansion of -2 in K
2.441 * [backup-simplify]: Simplify -2 into -2
2.441 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.441 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.441 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.441 * [taylor]: Taking taylor expansion of -1/2 in K
2.441 * [backup-simplify]: Simplify -1/2 into -1/2
2.441 * [taylor]: Taking taylor expansion of K in K
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.441 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.441 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.441 * [taylor]: Taking taylor expansion of J in K
2.441 * [backup-simplify]: Simplify J into J
2.441 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.441 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.441 * [taylor]: Taking taylor expansion of -2 in J
2.441 * [backup-simplify]: Simplify -2 into -2
2.441 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.441 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.441 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.441 * [taylor]: Taking taylor expansion of -1/2 in J
2.441 * [backup-simplify]: Simplify -1/2 into -1/2
2.441 * [taylor]: Taking taylor expansion of K in J
2.441 * [backup-simplify]: Simplify K into K
2.441 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.442 * [taylor]: Taking taylor expansion of J in J
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.442 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.442 * [backup-simplify]: Simplify (- 0) into 0
2.442 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.442 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.442 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.442 * [taylor]: Taking taylor expansion of -2 in J
2.442 * [backup-simplify]: Simplify -2 into -2
2.442 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.442 * [taylor]: Taking taylor expansion of -1/2 in J
2.442 * [backup-simplify]: Simplify -1/2 into -1/2
2.442 * [taylor]: Taking taylor expansion of K in J
2.442 * [backup-simplify]: Simplify K into K
2.442 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.442 * [taylor]: Taking taylor expansion of J in J
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.442 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.443 * [backup-simplify]: Simplify (- 0) into 0
2.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.443 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.443 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.443 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
2.443 * [taylor]: Taking taylor expansion of -2 in K
2.443 * [backup-simplify]: Simplify -2 into -2
2.443 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.443 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.443 * [taylor]: Taking taylor expansion of -1/2 in K
2.443 * [backup-simplify]: Simplify -1/2 into -1/2
2.443 * [taylor]: Taking taylor expansion of K in K
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify 1 into 1
2.443 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.443 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.443 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.444 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.444 * [backup-simplify]: Simplify (+ 0) into 0
2.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.447 * [backup-simplify]: Simplify (- 0) into 0
2.447 * [backup-simplify]: Simplify (+ 0 0) into 0
2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.448 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.448 * [taylor]: Taking taylor expansion of 0 in K
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.451 * [backup-simplify]: Simplify (- 0) into 0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.452 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.452 * [taylor]: Taking taylor expansion of 0 in K
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.458 * [backup-simplify]: Simplify (- 0) into 0
2.458 * [backup-simplify]: Simplify (+ 0 0) into 0
2.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.462 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.462 * [taylor]: Taking taylor expansion of 0 in K
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
2.462 * * * [progress]: simplifying candidates
2.462 * * * * [progress]: [ 1 / 141 ] 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))))>
2.462 * * * * [progress]: [ 2 / 141 ] 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))))>
2.462 * * * * [progress]: [ 3 / 141 ] 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))))>
2.463 * * * * [progress]: [ 4 / 141 ] 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))))>
2.463 * * * * [progress]: [ 5 / 141 ] 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))))>
2.463 * * * * [progress]: [ 6 / 141 ] 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))))>
2.463 * * * * [progress]: [ 7 / 141 ] 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))))>
2.463 * * * * [progress]: [ 8 / 141 ] 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))))>
2.463 * * * * [progress]: [ 9 / 141 ] 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))))>
2.463 * * * * [progress]: [ 10 / 141 ] 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))))>
2.463 * * * * [progress]: [ 11 / 141 ] 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))))>
2.463 * * * * [progress]: [ 12 / 141 ] 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))))>
2.463 * * * * [progress]: [ 13 / 141 ] 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))))>
2.463 * * * * [progress]: [ 14 / 141 ] 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))))>
2.463 * * * * [progress]: [ 15 / 141 ] 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))))>
2.463 * * * * [progress]: [ 16 / 141 ] 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))>
2.464 * * * * [progress]: [ 17 / 141 ] 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))>
2.464 * * * * [progress]: [ 18 / 141 ] 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))>
2.464 * * * * [progress]: [ 19 / 141 ] 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))>
2.464 * * * * [progress]: [ 20 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 21 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 22 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 23 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 24 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 25 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 26 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 27 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 28 / 141 ] 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))))))>
2.464 * * * * [progress]: [ 29 / 141 ] 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))))))>
2.465 * * * * [progress]: [ 30 / 141 ] 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))))))>
2.465 * * * * [progress]: [ 31 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 32 / 141 ] 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)))>
2.465 * * * * [progress]: [ 33 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 34 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 35 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 36 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 37 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 38 / 141 ] 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)))))>
2.465 * * * * [progress]: [ 39 / 141 ] 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))))))>
2.465 * * * * [progress]: [ 40 / 141 ] 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))))>
2.465 * * * * [progress]: [ 41 / 141 ] 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))))>
2.465 * * * * [progress]: [ 42 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.466 * * * * [progress]: [ 43 / 141 ] 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))))>
2.466 * * * * [progress]: [ 44 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.466 * * * * [progress]: [ 45 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.466 * * * * [progress]: [ 46 / 141 ] 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))))>
2.466 * * * * [progress]: [ 47 / 141 ] 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))))>
2.466 * * * * [progress]: [ 48 / 141 ] 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))))>
2.466 * * * * [progress]: [ 49 / 141 ] 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))))>
2.466 * * * * [progress]: [ 50 / 141 ] 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))))>
2.466 * * * * [progress]: [ 51 / 141 ] 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))))>
2.466 * * * * [progress]: [ 52 / 141 ] 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))))>
2.466 * * * * [progress]: [ 53 / 141 ] 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))))>
2.466 * * * * [progress]: [ 54 / 141 ] 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))))>
2.466 * * * * [progress]: [ 55 / 141 ] 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))))>
2.467 * * * * [progress]: [ 56 / 141 ] 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))))>
2.467 * * * * [progress]: [ 57 / 141 ] 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))))>
2.467 * * * * [progress]: [ 58 / 141 ] 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))))>
2.467 * * * * [progress]: [ 59 / 141 ] 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))))>
2.467 * * * * [progress]: [ 60 / 141 ] 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))))>
2.467 * * * * [progress]: [ 61 / 141 ] 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))))>
2.467 * * * * [progress]: [ 62 / 141 ] 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))))>
2.467 * * * * [progress]: [ 63 / 141 ] 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))))>
2.467 * * * * [progress]: [ 64 / 141 ] 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))))>
2.467 * * * * [progress]: [ 65 / 141 ] 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))))>
2.467 * * * * [progress]: [ 66 / 141 ] 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))))>
2.467 * * * * [progress]: [ 67 / 141 ] 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))))>
2.467 * * * * [progress]: [ 68 / 141 ] 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))))>
2.468 * * * * [progress]: [ 69 / 141 ] 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))))>
2.468 * * * * [progress]: [ 70 / 141 ] 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))))>
2.468 * * * * [progress]: [ 71 / 141 ] 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))))>
2.468 * * * * [progress]: [ 72 / 141 ] 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))))>
2.468 * * * * [progress]: [ 73 / 141 ] 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))))>
2.468 * * * * [progress]: [ 74 / 141 ] 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))))>
2.468 * * * * [progress]: [ 75 / 141 ] 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))))>
2.468 * * * * [progress]: [ 76 / 141 ] 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))))>
2.468 * * * * [progress]: [ 77 / 141 ] 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))))>
2.468 * * * * [progress]: [ 78 / 141 ] 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))))>
2.468 * * * * [progress]: [ 79 / 141 ] 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))))>
2.468 * * * * [progress]: [ 80 / 141 ] 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))))>
2.469 * * * * [progress]: [ 81 / 141 ] 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))))>
2.469 * * * * [progress]: [ 82 / 141 ] 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))))>
2.469 * * * * [progress]: [ 83 / 141 ] 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))))>
2.469 * * * * [progress]: [ 84 / 141 ] 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))))>
2.469 * * * * [progress]: [ 85 / 141 ] 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))))>
2.469 * * * * [progress]: [ 86 / 141 ] 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))))>
2.469 * * * * [progress]: [ 87 / 141 ] 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))))>
2.469 * * * * [progress]: [ 88 / 141 ] 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))))>
2.469 * * * * [progress]: [ 89 / 141 ] 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))))>
2.469 * * * * [progress]: [ 90 / 141 ] 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))))>
2.469 * * * * [progress]: [ 91 / 141 ] 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))))>
2.469 * * * * [progress]: [ 92 / 141 ] 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))))>
2.469 * * * * [progress]: [ 93 / 141 ] 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))))>
2.470 * * * * [progress]: [ 94 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (* 2 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.470 * * * * [progress]: [ 95 / 141 ] 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))))>
2.470 * * * * [progress]: [ 96 / 141 ] 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))))>
2.470 * * * * [progress]: [ 97 / 141 ] 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))))>
2.470 * * * * [progress]: [ 98 / 141 ] 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))))>
2.470 * * * * [progress]: [ 99 / 141 ] 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))))>
2.470 * * * * [progress]: [ 100 / 141 ] 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))))>
2.470 * * * * [progress]: [ 101 / 141 ] 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))))>
2.470 * * * * [progress]: [ 102 / 141 ] 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))))>
2.470 * * * * [progress]: [ 103 / 141 ] 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))))>
2.470 * * * * [progress]: [ 104 / 141 ] 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))))>
2.470 * * * * [progress]: [ 105 / 141 ] 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))))>
2.470 * * * * [progress]: [ 106 / 141 ] 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))))>
2.470 * * * * [progress]: [ 107 / 141 ] 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))))>
2.471 * * * * [progress]: [ 108 / 141 ] 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))))>
2.471 * * * * [progress]: [ 109 / 141 ] 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))))>
2.471 * * * * [progress]: [ 110 / 141 ] 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))))>
2.471 * * * * [progress]: [ 111 / 141 ] 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))))>
2.471 * * * * [progress]: [ 112 / 141 ] 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))))>
2.471 * * * * [progress]: [ 113 / 141 ] 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))))>
2.471 * * * * [progress]: [ 114 / 141 ] 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))))>
2.471 * * * * [progress]: [ 115 / 141 ] 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))))>
2.471 * * * * [progress]: [ 116 / 141 ] 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))))>
2.471 * * * * [progress]: [ 117 / 141 ] 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))))>
2.471 * * * * [progress]: [ 118 / 141 ] 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))))>
2.471 * * * * [progress]: [ 119 / 141 ] 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))))>
2.471 * * * * [progress]: [ 120 / 141 ] 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))))>
2.471 * * * * [progress]: [ 121 / 141 ] 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))))>
2.472 * * * * [progress]: [ 122 / 141 ] 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))))>
2.472 * * * * [progress]: [ 123 / 141 ] 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))))>
2.472 * * * * [progress]: [ 124 / 141 ] 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))))>
2.472 * * * * [progress]: [ 125 / 141 ] 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))))>
2.472 * * * * [progress]: [ 126 / 141 ] 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))))>
2.472 * * * * [progress]: [ 127 / 141 ] 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))))>
2.472 * * * * [progress]: [ 128 / 141 ] 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))))>
2.472 * * * * [progress]: [ 129 / 141 ] 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))))>
2.472 * * * * [progress]: [ 130 / 141 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (cos (/ K 2)) (* -2 J))))>
2.472 * * * * [progress]: [ 131 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
2.472 * * * * [progress]: [ 132 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
2.472 * * * * [progress]: [ 133 / 141 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
2.473 * * * * [progress]: [ 134 / 141 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
2.473 * * * * [progress]: [ 135 / 141 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
2.473 * * * * [progress]: [ 136 / 141 ] 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))))>
2.473 * * * * [progress]: [ 137 / 141 ] 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))))>
2.473 * * * * [progress]: [ 138 / 141 ] 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))))>
2.473 * * * * [progress]: [ 139 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.473 * * * * [progress]: [ 140 / 141 ] 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))))>
2.473 * * * * [progress]: [ 141 / 141 ] 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))))>
2.476 * [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)))
  (* (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))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
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  (* -1 U)
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2.483 * * [simplify]: iteration 1: (227 enodes)
2.603 * * [simplify]: iteration 2: (661 enodes)
3.206 * * [simplify]: Extracting #0: cost 82 inf + 0
3.209 * * [simplify]: Extracting #1: cost 699 inf + 3
3.216 * * [simplify]: Extracting #2: cost 1007 inf + 4206
3.224 * * [simplify]: Extracting #3: cost 875 inf + 26136
3.233 * * [simplify]: Extracting #4: cost 782 inf + 40569
3.253 * * [simplify]: Extracting #5: cost 552 inf + 103454
3.312 * * [simplify]: Extracting #6: cost 184 inf + 240031
3.380 * * [simplify]: Extracting #7: cost 51 inf + 301709
3.498 * * [simplify]: Extracting #8: cost 5 inf + 323755
3.602 * * [simplify]: Extracting #9: cost 0 inf + 326322
3.735 * [simplify]: Simplified to:
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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))))) -1))
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  1/2
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  (+ (log (/ (/ U (* 2 J)) (cos (/ K 2)))) (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))))
  (* (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (/ (* U U) (* (* 2 J) (* (* 2 J) (* 2 J))))) (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (/ (* U U) (* (* 2 J) (* (* 2 J) (* 2 J))))) (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (/ (* U U) (* (* 2 J) (* (* 2 J) (* 2 J))))) (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (/ (* U U) (* (* 2 J) (* (* 2 J) (* 2 J))))) (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (/ (* U U) (* (* 2 J) (* (* 2 J) (* 2 J))))) (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (* U U) 8) (* (* J J) J))) (/ (* U U) (* (* 2 J) (* (* 2 J) (* 2 J))))) (/ (/ U (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ 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)))) (* (/ (/ 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)) (* (cbrt U) (cbrt U))) (cos (/ K 2))) (* 2 J))
  (/ (* (/ 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 (cos (/ K 2))) (/ U (* 2 J)))
  (* (/ (/ 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))))
  (/ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt U)) (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 (cos (/ K 2))) (/ U (* 2 J)))
  (* (/ U (cos (/ K 2))) (/ U (* 2 J)))
  (* 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)))
  (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* J J) (* 8 J))) (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)))
  (* (* (* 2 J) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
  (* 2 (* J (sqrt (cos (/ K 2)))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  1
  (/ (/ (* 1/2 U) (cos (* 1/2 K))) J)
  (/ (/ (* 1/2 U) (cos (* 1/2 K))) J)
  (+ (* -2 J) (* -1/4 (/ (* U U) J)))
  (- U)
  (- U)
  (+ (/ (* 1/16 (* K K)) (* (/ J U) (/ J U))) (* 1/4 (* (/ U J) (/ U J))))
  (/ (* (* U U) 1/4) (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)))
  (/ (* (* U U) 1/4) (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)))
  (* 2 J)
  (* 2 (* (cos (* 1/2 K)) J))
  (* 2 (* (cos (* 1/2 K)) J))
3.760 * * * [progress]: adding candidates to table
6.083 * * [progress]: iteration 2 / 4
6.083 * * * [progress]: picking best candidate
6.103 * * * * [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)))>
6.103 * * * [progress]: localizing error
6.136 * * * [progress]: generating rewritten candidates
6.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
6.314 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
6.658 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
6.765 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2)
6.782 * * * [progress]: generating series expansions
6.782 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
6.782 * [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))
6.782 * [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
6.782 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.782 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.782 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.782 * [taylor]: Taking taylor expansion of 1/4 in K
6.782 * [backup-simplify]: Simplify 1/4 into 1/4
6.782 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.783 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.783 * [taylor]: Taking taylor expansion of U in K
6.783 * [backup-simplify]: Simplify U into U
6.783 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.783 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.783 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.783 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.783 * [taylor]: Taking taylor expansion of 1/2 in K
6.783 * [backup-simplify]: Simplify 1/2 into 1/2
6.783 * [taylor]: Taking taylor expansion of K in K
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify 1 into 1
6.783 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.784 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.784 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.784 * [taylor]: Taking taylor expansion of J in K
6.784 * [backup-simplify]: Simplify J into J
6.784 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.784 * [backup-simplify]: Simplify (* 1 1) into 1
6.784 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.784 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.784 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.784 * [taylor]: Taking taylor expansion of 1 in K
6.784 * [backup-simplify]: Simplify 1 into 1
6.784 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.785 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.785 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.785 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.785 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.785 * [backup-simplify]: Simplify (+ 0) into 0
6.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.786 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.786 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.787 * [backup-simplify]: Simplify (+ 0 0) into 0
6.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.787 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.787 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.787 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.787 * [taylor]: Taking taylor expansion of 1/4 in J
6.787 * [backup-simplify]: Simplify 1/4 into 1/4
6.787 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.787 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.787 * [taylor]: Taking taylor expansion of U in J
6.787 * [backup-simplify]: Simplify U into U
6.787 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.787 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.787 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.787 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.787 * [taylor]: Taking taylor expansion of 1/2 in J
6.787 * [backup-simplify]: Simplify 1/2 into 1/2
6.787 * [taylor]: Taking taylor expansion of K in J
6.787 * [backup-simplify]: Simplify K into K
6.787 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.787 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.787 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.787 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.787 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.788 * [backup-simplify]: Simplify (- 0) into 0
6.788 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.788 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.788 * [taylor]: Taking taylor expansion of J in J
6.788 * [backup-simplify]: Simplify 0 into 0
6.788 * [backup-simplify]: Simplify 1 into 1
6.788 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.788 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.788 * [backup-simplify]: Simplify (* 1 1) into 1
6.788 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.788 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.788 * [taylor]: Taking taylor expansion of 1 in J
6.788 * [backup-simplify]: Simplify 1 into 1
6.788 * [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)))
6.789 * [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)))
6.789 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.789 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.789 * [backup-simplify]: Simplify (+ 0) into 0
6.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.791 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.791 * [backup-simplify]: Simplify (- 0) into 0
6.791 * [backup-simplify]: Simplify (+ 0 0) into 0
6.791 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.792 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.792 * [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
6.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.793 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.794 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.794 * [taylor]: Taking taylor expansion of 1/4 in U
6.794 * [backup-simplify]: Simplify 1/4 into 1/4
6.794 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.794 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.794 * [taylor]: Taking taylor expansion of U in U
6.794 * [backup-simplify]: Simplify 0 into 0
6.794 * [backup-simplify]: Simplify 1 into 1
6.794 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.794 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.794 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.794 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.794 * [taylor]: Taking taylor expansion of 1/2 in U
6.794 * [backup-simplify]: Simplify 1/2 into 1/2
6.794 * [taylor]: Taking taylor expansion of K in U
6.794 * [backup-simplify]: Simplify K into K
6.794 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.794 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.794 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.794 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.794 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.794 * [backup-simplify]: Simplify (- 0) into 0
6.794 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.794 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.795 * [taylor]: Taking taylor expansion of J in U
6.795 * [backup-simplify]: Simplify J into J
6.795 * [backup-simplify]: Simplify (* 1 1) into 1
6.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.795 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.795 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.795 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.795 * [taylor]: Taking taylor expansion of 1 in U
6.795 * [backup-simplify]: Simplify 1 into 1
6.795 * [backup-simplify]: Simplify (+ 0 1) into 1
6.796 * [backup-simplify]: Simplify (sqrt 1) into 1
6.796 * [backup-simplify]: Simplify (+ 0 0) into 0
6.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.796 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.796 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.796 * [taylor]: Taking taylor expansion of 1/4 in U
6.796 * [backup-simplify]: Simplify 1/4 into 1/4
6.796 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.796 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.796 * [taylor]: Taking taylor expansion of U in U
6.797 * [backup-simplify]: Simplify 0 into 0
6.797 * [backup-simplify]: Simplify 1 into 1
6.797 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.797 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.797 * [taylor]: Taking taylor expansion of 1/2 in U
6.797 * [backup-simplify]: Simplify 1/2 into 1/2
6.797 * [taylor]: Taking taylor expansion of K in U
6.797 * [backup-simplify]: Simplify K into K
6.797 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.797 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.797 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.797 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.797 * [backup-simplify]: Simplify (- 0) into 0
6.797 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.797 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.797 * [taylor]: Taking taylor expansion of J in U
6.797 * [backup-simplify]: Simplify J into J
6.797 * [backup-simplify]: Simplify (* 1 1) into 1
6.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.798 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.798 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.798 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.798 * [taylor]: Taking taylor expansion of 1 in U
6.798 * [backup-simplify]: Simplify 1 into 1
6.798 * [backup-simplify]: Simplify (+ 0 1) into 1
6.798 * [backup-simplify]: Simplify (sqrt 1) into 1
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.799 * [taylor]: Taking taylor expansion of 1 in J
6.799 * [backup-simplify]: Simplify 1 into 1
6.799 * [taylor]: Taking taylor expansion of 0 in J
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [taylor]: Taking taylor expansion of 1 in K
6.799 * [backup-simplify]: Simplify 1 into 1
6.799 * [backup-simplify]: Simplify 1 into 1
6.799 * [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)))
6.800 * [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))))
6.801 * [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)))
6.801 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.801 * [taylor]: Taking taylor expansion of 1/8 in J
6.801 * [backup-simplify]: Simplify 1/8 into 1/8
6.801 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.801 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.801 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.801 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.801 * [taylor]: Taking taylor expansion of 1/2 in J
6.801 * [backup-simplify]: Simplify 1/2 into 1/2
6.801 * [taylor]: Taking taylor expansion of K in J
6.801 * [backup-simplify]: Simplify K into K
6.801 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.801 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.801 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.801 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.801 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.801 * [backup-simplify]: Simplify (- 0) into 0
6.801 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.801 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.802 * [taylor]: Taking taylor expansion of J in J
6.802 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify 1 into 1
6.802 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.802 * [backup-simplify]: Simplify (* 1 1) into 1
6.802 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.802 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
6.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.803 * [backup-simplify]: Simplify (+ 0) into 0
6.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.804 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.804 * [backup-simplify]: Simplify (- 0) into 0
6.805 * [backup-simplify]: Simplify (+ 0 0) into 0
6.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.805 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.805 * [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
6.805 * [taylor]: Taking taylor expansion of 0 in K
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [taylor]: Taking taylor expansion of 0 in K
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [taylor]: Taking taylor expansion of 0 in K
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.806 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.806 * [backup-simplify]: Simplify (+ 0) into 0
6.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.808 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.808 * [backup-simplify]: Simplify (- 0) into 0
6.808 * [backup-simplify]: Simplify (+ 0 0) into 0
6.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.808 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.808 * [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
6.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.809 * [backup-simplify]: Simplify (+ 0 0) into 0
6.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.810 * [taylor]: Taking taylor expansion of 0 in J
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.812 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.813 * [backup-simplify]: Simplify (- 0) into 0
6.813 * [backup-simplify]: Simplify (+ 0 0) into 0
6.813 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.814 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.814 * [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
6.814 * [taylor]: Taking taylor expansion of 0 in K
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [taylor]: Taking taylor expansion of 0 in K
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [backup-simplify]: Simplify 1 into 1
6.815 * [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))
6.815 * [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
6.815 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.815 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.815 * [taylor]: Taking taylor expansion of 1/4 in K
6.815 * [backup-simplify]: Simplify 1/4 into 1/4
6.815 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.815 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.815 * [taylor]: Taking taylor expansion of J in K
6.815 * [backup-simplify]: Simplify J into J
6.815 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.815 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.815 * [taylor]: Taking taylor expansion of U in K
6.815 * [backup-simplify]: Simplify U into U
6.815 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.815 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.815 * [taylor]: Taking taylor expansion of 1/2 in K
6.815 * [backup-simplify]: Simplify 1/2 into 1/2
6.815 * [taylor]: Taking taylor expansion of K in K
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 1 into 1
6.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.815 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.815 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.816 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.816 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.816 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.816 * [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)))
6.816 * [taylor]: Taking taylor expansion of 1 in K
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [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))))
6.816 * [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)
6.817 * [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))
6.817 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.817 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.817 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.817 * [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
6.818 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.818 * [backup-simplify]: Simplify (+ 0 0) into 0
6.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.818 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.818 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.818 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.818 * [taylor]: Taking taylor expansion of 1/4 in J
6.818 * [backup-simplify]: Simplify 1/4 into 1/4
6.818 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.818 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.818 * [taylor]: Taking taylor expansion of J in J
6.819 * [backup-simplify]: Simplify 0 into 0
6.819 * [backup-simplify]: Simplify 1 into 1
6.819 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.819 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.819 * [taylor]: Taking taylor expansion of U in J
6.819 * [backup-simplify]: Simplify U into U
6.819 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.819 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.819 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.819 * [taylor]: Taking taylor expansion of 1/2 in J
6.819 * [backup-simplify]: Simplify 1/2 into 1/2
6.819 * [taylor]: Taking taylor expansion of K in J
6.819 * [backup-simplify]: Simplify K into K
6.819 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.819 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.819 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.819 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.819 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.819 * [backup-simplify]: Simplify (- 0) into 0
6.819 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.819 * [backup-simplify]: Simplify (* 1 1) into 1
6.820 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.820 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.820 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.820 * [taylor]: Taking taylor expansion of 1 in J
6.820 * [backup-simplify]: Simplify 1 into 1
6.820 * [backup-simplify]: Simplify (+ 0 1) into 1
6.820 * [backup-simplify]: Simplify (sqrt 1) into 1
6.821 * [backup-simplify]: Simplify (+ 0 0) into 0
6.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.821 * [taylor]: Taking taylor expansion of 1/4 in U
6.821 * [backup-simplify]: Simplify 1/4 into 1/4
6.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.821 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.821 * [taylor]: Taking taylor expansion of J in U
6.821 * [backup-simplify]: Simplify J into J
6.821 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.821 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.821 * [taylor]: Taking taylor expansion of U in U
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 1 into 1
6.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.821 * [taylor]: Taking taylor expansion of 1/2 in U
6.821 * [backup-simplify]: Simplify 1/2 into 1/2
6.821 * [taylor]: Taking taylor expansion of K in U
6.821 * [backup-simplify]: Simplify K into K
6.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.822 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.822 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.822 * [backup-simplify]: Simplify (- 0) into 0
6.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.822 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.822 * [backup-simplify]: Simplify (* 1 1) into 1
6.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.822 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.822 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.823 * [taylor]: Taking taylor expansion of 1 in U
6.823 * [backup-simplify]: Simplify 1 into 1
6.823 * [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)))
6.823 * [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)))
6.823 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.823 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.823 * [backup-simplify]: Simplify (+ 0) into 0
6.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.824 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.825 * [backup-simplify]: Simplify (- 0) into 0
6.825 * [backup-simplify]: Simplify (+ 0 0) into 0
6.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.826 * [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
6.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.827 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.827 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.827 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.827 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.827 * [taylor]: Taking taylor expansion of 1/4 in U
6.827 * [backup-simplify]: Simplify 1/4 into 1/4
6.827 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.827 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.827 * [taylor]: Taking taylor expansion of J in U
6.827 * [backup-simplify]: Simplify J into J
6.827 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.827 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.827 * [taylor]: Taking taylor expansion of U in U
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [backup-simplify]: Simplify 1 into 1
6.827 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.827 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.827 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.827 * [taylor]: Taking taylor expansion of 1/2 in U
6.827 * [backup-simplify]: Simplify 1/2 into 1/2
6.827 * [taylor]: Taking taylor expansion of K in U
6.827 * [backup-simplify]: Simplify K into K
6.827 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.827 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.827 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.827 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.827 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.828 * [backup-simplify]: Simplify (- 0) into 0
6.828 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.828 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.828 * [backup-simplify]: Simplify (* 1 1) into 1
6.828 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.828 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.828 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.828 * [taylor]: Taking taylor expansion of 1 in U
6.828 * [backup-simplify]: Simplify 1 into 1
6.828 * [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)))
6.828 * [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)))
6.829 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.829 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.829 * [backup-simplify]: Simplify (+ 0) into 0
6.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.829 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.830 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.830 * [backup-simplify]: Simplify (- 0) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.832 * [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
6.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.832 * [backup-simplify]: Simplify (+ 0 0) into 0
6.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
6.832 * [taylor]: Taking taylor expansion of 1/2 in J
6.833 * [backup-simplify]: Simplify 1/2 into 1/2
6.833 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
6.833 * [taylor]: Taking taylor expansion of J in J
6.833 * [backup-simplify]: Simplify 0 into 0
6.833 * [backup-simplify]: Simplify 1 into 1
6.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.833 * [taylor]: Taking taylor expansion of 1/2 in J
6.833 * [backup-simplify]: Simplify 1/2 into 1/2
6.833 * [taylor]: Taking taylor expansion of K in J
6.833 * [backup-simplify]: Simplify K into K
6.833 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.833 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.833 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.833 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.833 * [backup-simplify]: Simplify (- 0) into 0
6.833 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.833 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.833 * [taylor]: Taking taylor expansion of 0 in J
6.833 * [backup-simplify]: Simplify 0 into 0
6.833 * [taylor]: Taking taylor expansion of 0 in K
6.833 * [backup-simplify]: Simplify 0 into 0
6.833 * [backup-simplify]: Simplify 0 into 0
6.833 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
6.833 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
6.833 * [taylor]: Taking taylor expansion of 1/2 in K
6.834 * [backup-simplify]: Simplify 1/2 into 1/2
6.834 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.834 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.834 * [taylor]: Taking taylor expansion of 1/2 in K
6.834 * [backup-simplify]: Simplify 1/2 into 1/2
6.834 * [taylor]: Taking taylor expansion of K in K
6.834 * [backup-simplify]: Simplify 0 into 0
6.834 * [backup-simplify]: Simplify 1 into 1
6.834 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.834 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.834 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.834 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.834 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.836 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.837 * [backup-simplify]: Simplify (- 0) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.840 * [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
6.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.841 * [backup-simplify]: Simplify (+ 0 1) into 1
6.842 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.842 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.842 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.842 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.842 * [taylor]: Taking taylor expansion of 1/2 in J
6.842 * [backup-simplify]: Simplify 1/2 into 1/2
6.842 * [taylor]: Taking taylor expansion of K in J
6.842 * [backup-simplify]: Simplify K into K
6.842 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.842 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.842 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.842 * [taylor]: Taking taylor expansion of J in J
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 1 into 1
6.842 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.843 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.843 * [backup-simplify]: Simplify (- 0) into 0
6.843 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.843 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.843 * [backup-simplify]: Simplify (+ 0) into 0
6.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.846 * [backup-simplify]: Simplify (- 0) into 0
6.846 * [backup-simplify]: Simplify (+ 0 0) into 0
6.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.847 * [taylor]: Taking taylor expansion of 0 in K
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [taylor]: Taking taylor expansion of 0 in K
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify (+ 0) into 0
6.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.850 * [backup-simplify]: Simplify (- 0) into 0
6.850 * [backup-simplify]: Simplify (+ 0 0) into 0
6.850 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.851 * [taylor]: Taking taylor expansion of 0 in K
6.851 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.851 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.853 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.857 * [backup-simplify]: Simplify (- 0) into 0
6.857 * [backup-simplify]: Simplify (+ 0 0) into 0
6.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.861 * [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
6.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.862 * [backup-simplify]: Simplify (+ 0 0) into 0
6.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
6.863 * [taylor]: Taking taylor expansion of 0 in J
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [taylor]: Taking taylor expansion of 0 in K
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [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)))
6.864 * [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))))))
6.864 * [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
6.864 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.864 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.864 * [taylor]: Taking taylor expansion of 1 in K
6.864 * [backup-simplify]: Simplify 1 into 1
6.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.864 * [taylor]: Taking taylor expansion of 1/4 in K
6.864 * [backup-simplify]: Simplify 1/4 into 1/4
6.864 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.864 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.864 * [taylor]: Taking taylor expansion of J in K
6.864 * [backup-simplify]: Simplify J into J
6.864 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.864 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.864 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.864 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.864 * [taylor]: Taking taylor expansion of -1/2 in K
6.864 * [backup-simplify]: Simplify -1/2 into -1/2
6.864 * [taylor]: Taking taylor expansion of K in K
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify 1 into 1
6.868 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.869 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.869 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.869 * [taylor]: Taking taylor expansion of U in K
6.869 * [backup-simplify]: Simplify U into U
6.869 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.869 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.869 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.869 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.869 * [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)))
6.870 * [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))))
6.870 * [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)))))
6.871 * [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))))))
6.871 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.871 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.871 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.872 * [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
6.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.873 * [backup-simplify]: Simplify (+ 0 0) into 0
6.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.874 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.874 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.874 * [taylor]: Taking taylor expansion of 1 in J
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.874 * [taylor]: Taking taylor expansion of 1/4 in J
6.874 * [backup-simplify]: Simplify 1/4 into 1/4
6.874 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.874 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.874 * [taylor]: Taking taylor expansion of J in J
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.874 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.874 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.874 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.875 * [taylor]: Taking taylor expansion of -1/2 in J
6.875 * [backup-simplify]: Simplify -1/2 into -1/2
6.875 * [taylor]: Taking taylor expansion of K in J
6.875 * [backup-simplify]: Simplify K into K
6.875 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.875 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.875 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.875 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.876 * [backup-simplify]: Simplify (- 0) into 0
6.876 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.876 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.876 * [taylor]: Taking taylor expansion of U in J
6.876 * [backup-simplify]: Simplify U into U
6.876 * [backup-simplify]: Simplify (* 1 1) into 1
6.876 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.876 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.876 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.877 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.877 * [backup-simplify]: Simplify (+ 1 0) into 1
6.878 * [backup-simplify]: Simplify (sqrt 1) into 1
6.878 * [backup-simplify]: Simplify (+ 0 0) into 0
6.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.879 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.879 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.879 * [taylor]: Taking taylor expansion of 1 in U
6.879 * [backup-simplify]: Simplify 1 into 1
6.879 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.879 * [taylor]: Taking taylor expansion of 1/4 in U
6.879 * [backup-simplify]: Simplify 1/4 into 1/4
6.879 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.879 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.879 * [taylor]: Taking taylor expansion of J in U
6.879 * [backup-simplify]: Simplify J into J
6.879 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.879 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.879 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.879 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.879 * [taylor]: Taking taylor expansion of -1/2 in U
6.879 * [backup-simplify]: Simplify -1/2 into -1/2
6.879 * [taylor]: Taking taylor expansion of K in U
6.879 * [backup-simplify]: Simplify K into K
6.880 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.880 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.880 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.880 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.881 * [backup-simplify]: Simplify (- 0) into 0
6.881 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.881 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.881 * [taylor]: Taking taylor expansion of U in U
6.881 * [backup-simplify]: Simplify 0 into 0
6.881 * [backup-simplify]: Simplify 1 into 1
6.881 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.882 * [backup-simplify]: Simplify (* 1 1) into 1
6.882 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.882 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.882 * [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)))
6.883 * [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)))
6.883 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.883 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.884 * [backup-simplify]: Simplify (+ 0) into 0
6.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.887 * [backup-simplify]: Simplify (- 0) into 0
6.887 * [backup-simplify]: Simplify (+ 0 0) into 0
6.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.888 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.888 * [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
6.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.890 * [backup-simplify]: Simplify (+ 0 0) into 0
6.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.890 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.890 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.890 * [taylor]: Taking taylor expansion of 1 in U
6.890 * [backup-simplify]: Simplify 1 into 1
6.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.890 * [taylor]: Taking taylor expansion of 1/4 in U
6.890 * [backup-simplify]: Simplify 1/4 into 1/4
6.890 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.890 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.890 * [taylor]: Taking taylor expansion of J in U
6.890 * [backup-simplify]: Simplify J into J
6.890 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.890 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.890 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.890 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.890 * [taylor]: Taking taylor expansion of -1/2 in U
6.890 * [backup-simplify]: Simplify -1/2 into -1/2
6.890 * [taylor]: Taking taylor expansion of K in U
6.890 * [backup-simplify]: Simplify K into K
6.891 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.891 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.891 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.891 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.891 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.891 * [backup-simplify]: Simplify (- 0) into 0
6.891 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.891 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.891 * [taylor]: Taking taylor expansion of U in U
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 1 into 1
6.892 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.892 * [backup-simplify]: Simplify (* 1 1) into 1
6.892 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.892 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.893 * [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)))
6.893 * [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)))
6.893 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.893 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.894 * [backup-simplify]: Simplify (+ 0) into 0
6.895 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.897 * [backup-simplify]: Simplify (- 0) into 0
6.897 * [backup-simplify]: Simplify (+ 0 0) into 0
6.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.898 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.898 * [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
6.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.899 * [backup-simplify]: Simplify (+ 0 0) into 0
6.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.900 * [taylor]: Taking taylor expansion of 1/2 in J
6.900 * [backup-simplify]: Simplify 1/2 into 1/2
6.900 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.900 * [taylor]: Taking taylor expansion of J in J
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify 1 into 1
6.900 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.900 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.900 * [taylor]: Taking taylor expansion of -1/2 in J
6.900 * [backup-simplify]: Simplify -1/2 into -1/2
6.900 * [taylor]: Taking taylor expansion of K in J
6.900 * [backup-simplify]: Simplify K into K
6.900 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.900 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.900 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.901 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.901 * [backup-simplify]: Simplify (- 0) into 0
6.901 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.901 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.901 * [taylor]: Taking taylor expansion of 0 in J
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [taylor]: Taking taylor expansion of 0 in K
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.902 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
6.902 * [taylor]: Taking taylor expansion of 1/2 in K
6.902 * [backup-simplify]: Simplify 1/2 into 1/2
6.902 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.902 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.902 * [taylor]: Taking taylor expansion of -1/2 in K
6.902 * [backup-simplify]: Simplify -1/2 into -1/2
6.902 * [taylor]: Taking taylor expansion of K in K
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 1 into 1
6.902 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.902 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.903 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.903 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.903 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.907 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.908 * [backup-simplify]: Simplify (- 0) into 0
6.909 * [backup-simplify]: Simplify (+ 0 0) into 0
6.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.910 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.911 * [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
6.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.912 * [backup-simplify]: Simplify (+ 1 0) into 1
6.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.913 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.913 * [taylor]: Taking taylor expansion of -1/2 in J
6.913 * [backup-simplify]: Simplify -1/2 into -1/2
6.914 * [taylor]: Taking taylor expansion of K in J
6.914 * [backup-simplify]: Simplify K into K
6.914 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.914 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.914 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.914 * [taylor]: Taking taylor expansion of J in J
6.914 * [backup-simplify]: Simplify 0 into 0
6.914 * [backup-simplify]: Simplify 1 into 1
6.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.914 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.915 * [backup-simplify]: Simplify (- 0) into 0
6.915 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.915 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.915 * [backup-simplify]: Simplify (+ 0) into 0
6.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.916 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.918 * [backup-simplify]: Simplify (- 0) into 0
6.918 * [backup-simplify]: Simplify (+ 0 0) into 0
6.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.919 * [taylor]: Taking taylor expansion of 0 in K
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [taylor]: Taking taylor expansion of 0 in K
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify (+ 0) into 0
6.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.921 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.922 * [backup-simplify]: Simplify (- 0) into 0
6.922 * [backup-simplify]: Simplify (+ 0 0) into 0
6.922 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.923 * [taylor]: Taking taylor expansion of 0 in K
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.923 * [backup-simplify]: Simplify 0 into 0
6.924 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.930 * [backup-simplify]: Simplify (- 0) into 0
6.930 * [backup-simplify]: Simplify (+ 0 0) into 0
6.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.932 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.933 * [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
6.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.934 * [backup-simplify]: Simplify (+ 0 0) into 0
6.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.935 * [taylor]: Taking taylor expansion of 0 in J
6.935 * [backup-simplify]: Simplify 0 into 0
6.935 * [taylor]: Taking taylor expansion of 0 in K
6.935 * [backup-simplify]: Simplify 0 into 0
6.935 * [backup-simplify]: Simplify 0 into 0
6.935 * [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)))
6.935 * * * * [progress]: [ 2 / 4 ] generating series at (2)
6.936 * [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))))
6.936 * [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
6.936 * [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
6.936 * [taylor]: Taking taylor expansion of -2 in K
6.936 * [backup-simplify]: Simplify -2 into -2
6.936 * [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
6.936 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
6.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.936 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.936 * [taylor]: Taking taylor expansion of 1/2 in K
6.936 * [backup-simplify]: Simplify 1/2 into 1/2
6.936 * [taylor]: Taking taylor expansion of K in K
6.936 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 1 into 1
6.936 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.937 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.937 * [taylor]: Taking taylor expansion of J in K
6.937 * [backup-simplify]: Simplify J into J
6.937 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.937 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.937 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.937 * [taylor]: Taking taylor expansion of 1/4 in K
6.937 * [backup-simplify]: Simplify 1/4 into 1/4
6.937 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.937 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.937 * [taylor]: Taking taylor expansion of U in K
6.937 * [backup-simplify]: Simplify U into U
6.937 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.937 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.938 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.938 * [taylor]: Taking taylor expansion of 1/2 in K
6.938 * [backup-simplify]: Simplify 1/2 into 1/2
6.938 * [taylor]: Taking taylor expansion of K in K
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 1 into 1
6.938 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.939 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.939 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.939 * [taylor]: Taking taylor expansion of J in K
6.939 * [backup-simplify]: Simplify J into J
6.939 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.939 * [backup-simplify]: Simplify (* 1 1) into 1
6.939 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.939 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.940 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.940 * [taylor]: Taking taylor expansion of 1 in K
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.940 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.940 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.940 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.940 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.941 * [backup-simplify]: Simplify (+ 0) into 0
6.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.942 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.943 * [backup-simplify]: Simplify (+ 0 0) into 0
6.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.943 * [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
6.943 * [taylor]: Taking taylor expansion of -2 in J
6.943 * [backup-simplify]: Simplify -2 into -2
6.944 * [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
6.944 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.944 * [taylor]: Taking taylor expansion of 1/2 in J
6.944 * [backup-simplify]: Simplify 1/2 into 1/2
6.944 * [taylor]: Taking taylor expansion of K in J
6.944 * [backup-simplify]: Simplify K into K
6.944 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.944 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.944 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.944 * [taylor]: Taking taylor expansion of J in J
6.944 * [backup-simplify]: Simplify 0 into 0
6.944 * [backup-simplify]: Simplify 1 into 1
6.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.944 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.944 * [taylor]: Taking taylor expansion of 1/4 in J
6.944 * [backup-simplify]: Simplify 1/4 into 1/4
6.944 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.944 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.944 * [taylor]: Taking taylor expansion of U in J
6.944 * [backup-simplify]: Simplify U into U
6.944 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.944 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.944 * [taylor]: Taking taylor expansion of 1/2 in J
6.944 * [backup-simplify]: Simplify 1/2 into 1/2
6.944 * [taylor]: Taking taylor expansion of K in J
6.944 * [backup-simplify]: Simplify K into K
6.944 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.945 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.945 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.945 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.945 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.945 * [backup-simplify]: Simplify (- 0) into 0
6.945 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.945 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.945 * [taylor]: Taking taylor expansion of J in J
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 1 into 1
6.946 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.946 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.946 * [backup-simplify]: Simplify (* 1 1) into 1
6.946 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.947 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.947 * [taylor]: Taking taylor expansion of 1 in J
6.947 * [backup-simplify]: Simplify 1 into 1
6.947 * [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)))
6.947 * [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)))
6.948 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.948 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.949 * [backup-simplify]: Simplify (+ 0) into 0
6.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.951 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.951 * [backup-simplify]: Simplify (- 0) into 0
6.952 * [backup-simplify]: Simplify (+ 0 0) into 0
6.952 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.952 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.953 * [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
6.953 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.954 * [backup-simplify]: Simplify (+ 0 0) into 0
6.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.954 * [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
6.954 * [taylor]: Taking taylor expansion of -2 in U
6.954 * [backup-simplify]: Simplify -2 into -2
6.954 * [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
6.954 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
6.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.955 * [taylor]: Taking taylor expansion of 1/2 in U
6.955 * [backup-simplify]: Simplify 1/2 into 1/2
6.955 * [taylor]: Taking taylor expansion of K in U
6.955 * [backup-simplify]: Simplify K into K
6.955 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.955 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.955 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.955 * [taylor]: Taking taylor expansion of J in U
6.955 * [backup-simplify]: Simplify J into J
6.955 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.955 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.955 * [taylor]: Taking taylor expansion of 1/4 in U
6.955 * [backup-simplify]: Simplify 1/4 into 1/4
6.955 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.955 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.955 * [taylor]: Taking taylor expansion of U in U
6.955 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify 1 into 1
6.955 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.955 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.955 * [taylor]: Taking taylor expansion of 1/2 in U
6.955 * [backup-simplify]: Simplify 1/2 into 1/2
6.955 * [taylor]: Taking taylor expansion of K in U
6.955 * [backup-simplify]: Simplify K into K
6.955 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.955 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.955 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.956 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.956 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.956 * [backup-simplify]: Simplify (- 0) into 0
6.956 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.956 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.956 * [taylor]: Taking taylor expansion of J in U
6.956 * [backup-simplify]: Simplify J into J
6.957 * [backup-simplify]: Simplify (* 1 1) into 1
6.957 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.957 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.957 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.957 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.957 * [taylor]: Taking taylor expansion of 1 in U
6.957 * [backup-simplify]: Simplify 1 into 1
6.957 * [backup-simplify]: Simplify (+ 0 1) into 1
6.957 * [backup-simplify]: Simplify (sqrt 1) into 1
6.958 * [backup-simplify]: Simplify (+ 0 0) into 0
6.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.958 * [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 U
6.958 * [taylor]: Taking taylor expansion of -2 in U
6.958 * [backup-simplify]: Simplify -2 into -2
6.958 * [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 U
6.958 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
6.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.958 * [taylor]: Taking taylor expansion of 1/2 in U
6.958 * [backup-simplify]: Simplify 1/2 into 1/2
6.958 * [taylor]: Taking taylor expansion of K in U
6.958 * [backup-simplify]: Simplify K into K
6.958 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.958 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.958 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.959 * [taylor]: Taking taylor expansion of J in U
6.959 * [backup-simplify]: Simplify J into J
6.959 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.959 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.959 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.959 * [taylor]: Taking taylor expansion of 1/4 in U
6.959 * [backup-simplify]: Simplify 1/4 into 1/4
6.959 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.959 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.959 * [taylor]: Taking taylor expansion of U in U
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 1 into 1
6.959 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.959 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.959 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.959 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.959 * [taylor]: Taking taylor expansion of 1/2 in U
6.959 * [backup-simplify]: Simplify 1/2 into 1/2
6.959 * [taylor]: Taking taylor expansion of K in U
6.959 * [backup-simplify]: Simplify K into K
6.959 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.959 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.959 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.959 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.959 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.959 * [backup-simplify]: Simplify (- 0) into 0
6.959 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.959 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.959 * [taylor]: Taking taylor expansion of J in U
6.959 * [backup-simplify]: Simplify J into J
6.960 * [backup-simplify]: Simplify (* 1 1) into 1
6.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.960 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.960 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.960 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.960 * [taylor]: Taking taylor expansion of 1 in U
6.960 * [backup-simplify]: Simplify 1 into 1
6.960 * [backup-simplify]: Simplify (+ 0 1) into 1
6.961 * [backup-simplify]: Simplify (sqrt 1) into 1
6.961 * [backup-simplify]: Simplify (+ 0 0) into 0
6.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.961 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.962 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.962 * [backup-simplify]: Simplify (- 0) into 0
6.962 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
6.962 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
6.962 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
6.962 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
6.962 * [taylor]: Taking taylor expansion of -2 in J
6.962 * [backup-simplify]: Simplify -2 into -2
6.962 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.962 * [taylor]: Taking taylor expansion of 1/2 in J
6.962 * [backup-simplify]: Simplify 1/2 into 1/2
6.962 * [taylor]: Taking taylor expansion of K in J
6.962 * [backup-simplify]: Simplify K into K
6.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.962 * [taylor]: Taking taylor expansion of J in J
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.963 * [backup-simplify]: Simplify (+ 0) into 0
6.963 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.964 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.965 * [backup-simplify]: Simplify (- 0) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
6.965 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
6.966 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
6.966 * [taylor]: Taking taylor expansion of 0 in J
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.966 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.966 * [backup-simplify]: Simplify (- 0) into 0
6.966 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.967 * [backup-simplify]: Simplify (* -2 0) into 0
6.967 * [taylor]: Taking taylor expansion of 0 in K
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [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)))
6.967 * [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))))
6.968 * [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)))
6.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.969 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.970 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.970 * [backup-simplify]: Simplify (- 0) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
6.971 * [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)))
6.972 * [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))))
6.972 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
6.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
6.972 * [taylor]: Taking taylor expansion of 1/4 in J
6.972 * [backup-simplify]: Simplify 1/4 into 1/4
6.972 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
6.972 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.972 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.972 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.972 * [taylor]: Taking taylor expansion of 1/2 in J
6.972 * [backup-simplify]: Simplify 1/2 into 1/2
6.972 * [taylor]: Taking taylor expansion of K in J
6.972 * [backup-simplify]: Simplify K into K
6.972 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.972 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.972 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.972 * [taylor]: Taking taylor expansion of J in J
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.972 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.972 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.973 * [backup-simplify]: Simplify (- 0) into 0
6.973 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.973 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.973 * [backup-simplify]: Simplify (+ 0) into 0
6.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.974 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.975 * [backup-simplify]: Simplify (- 0) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.975 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.975 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
6.975 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
6.975 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
6.975 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
6.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
6.975 * [taylor]: Taking taylor expansion of 1/4 in K
6.976 * [backup-simplify]: Simplify 1/4 into 1/4
6.976 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
6.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.976 * [taylor]: Taking taylor expansion of 1/2 in K
6.976 * [backup-simplify]: Simplify 1/2 into 1/2
6.976 * [taylor]: Taking taylor expansion of K in K
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 1 into 1
6.976 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.977 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.977 * [backup-simplify]: Simplify (/ 1 1) into 1
6.977 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
6.978 * [backup-simplify]: Simplify (- 1/4) into -1/4
6.978 * [backup-simplify]: Simplify -1/4 into -1/4
6.978 * [taylor]: Taking taylor expansion of 0 in K
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify (+ 0) into 0
6.978 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.979 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.980 * [backup-simplify]: Simplify (- 0) into 0
6.980 * [backup-simplify]: Simplify (+ 0 0) into 0
6.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.980 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
6.980 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
6.980 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
6.980 * [taylor]: Taking taylor expansion of 2 in K
6.980 * [backup-simplify]: Simplify 2 into 2
6.981 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.981 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.981 * [taylor]: Taking taylor expansion of 1/2 in K
6.981 * [backup-simplify]: Simplify 1/2 into 1/2
6.981 * [taylor]: Taking taylor expansion of K in K
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.981 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.981 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.982 * [backup-simplify]: Simplify (* 2 1) into 2
6.982 * [backup-simplify]: Simplify (- 2) into -2
6.982 * [backup-simplify]: Simplify -2 into -2
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.982 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.983 * [backup-simplify]: Simplify (+ 0) into 0
6.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.984 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.984 * [backup-simplify]: Simplify (- 0) into 0
6.984 * [backup-simplify]: Simplify (+ 0 0) into 0
6.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.985 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.985 * [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
6.985 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.986 * [backup-simplify]: Simplify (+ 0 0) into 0
6.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.987 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.987 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.989 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.989 * [backup-simplify]: Simplify (- 0) into 0
6.990 * [backup-simplify]: Simplify (+ 0 0) into 0
6.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.991 * [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
6.991 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
6.991 * [taylor]: Taking taylor expansion of 0 in J
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.993 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.994 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.994 * [backup-simplify]: Simplify (- 0) into 0
6.994 * [backup-simplify]: Simplify (+ 0 0) into 0
6.995 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
6.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
6.995 * [backup-simplify]: Simplify (- 0) into 0
6.995 * [taylor]: Taking taylor expansion of 0 in K
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.996 * [taylor]: Taking taylor expansion of 0 in K
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.999 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.000 * [backup-simplify]: Simplify (- 0) into 0
7.000 * [backup-simplify]: Simplify (+ 0 0) into 0
7.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
7.001 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
7.001 * [taylor]: Taking taylor expansion of 0 in K
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify (+ 0) into 0
7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.002 * [backup-simplify]: Simplify (- 0) into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
7.003 * [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)))
7.003 * [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
7.003 * [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
7.003 * [taylor]: Taking taylor expansion of -2 in K
7.003 * [backup-simplify]: Simplify -2 into -2
7.003 * [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
7.003 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
7.003 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
7.003 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
7.003 * [taylor]: Taking taylor expansion of 1/4 in K
7.003 * [backup-simplify]: Simplify 1/4 into 1/4
7.003 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
7.003 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.003 * [taylor]: Taking taylor expansion of J in K
7.003 * [backup-simplify]: Simplify J into J
7.003 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
7.003 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.003 * [taylor]: Taking taylor expansion of U in K
7.003 * [backup-simplify]: Simplify U into U
7.003 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.004 * [taylor]: Taking taylor expansion of 1/2 in K
7.004 * [backup-simplify]: Simplify 1/2 into 1/2
7.004 * [taylor]: Taking taylor expansion of K in K
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 1 into 1
7.004 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.004 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.004 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.004 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.004 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.004 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.005 * [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)))
7.005 * [taylor]: Taking taylor expansion of 1 in K
7.005 * [backup-simplify]: Simplify 1 into 1
7.005 * [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))))
7.005 * [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)
7.005 * [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))
7.005 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.005 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.005 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.005 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.006 * [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
7.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.007 * [backup-simplify]: Simplify (+ 0 0) into 0
7.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
7.007 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
7.007 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.007 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.007 * [taylor]: Taking taylor expansion of 1/2 in K
7.007 * [backup-simplify]: Simplify 1/2 into 1/2
7.007 * [taylor]: Taking taylor expansion of K in K
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify 1 into 1
7.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.007 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.007 * [taylor]: Taking taylor expansion of J in K
7.007 * [backup-simplify]: Simplify J into J
7.007 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.007 * [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
7.007 * [taylor]: Taking taylor expansion of -2 in J
7.007 * [backup-simplify]: Simplify -2 into -2
7.007 * [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
7.007 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
7.007 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
7.008 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.008 * [taylor]: Taking taylor expansion of 1/4 in J
7.008 * [backup-simplify]: Simplify 1/4 into 1/4
7.008 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.008 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.008 * [taylor]: Taking taylor expansion of J in J
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify 1 into 1
7.008 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.008 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.008 * [taylor]: Taking taylor expansion of U in J
7.008 * [backup-simplify]: Simplify U into U
7.008 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.008 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.008 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.008 * [taylor]: Taking taylor expansion of 1/2 in J
7.008 * [backup-simplify]: Simplify 1/2 into 1/2
7.008 * [taylor]: Taking taylor expansion of K in J
7.008 * [backup-simplify]: Simplify K into K
7.008 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.008 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.008 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.008 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.008 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.008 * [backup-simplify]: Simplify (- 0) into 0
7.008 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.009 * [backup-simplify]: Simplify (* 1 1) into 1
7.009 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.009 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.009 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.009 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.009 * [taylor]: Taking taylor expansion of 1 in J
7.009 * [backup-simplify]: Simplify 1 into 1
7.009 * [backup-simplify]: Simplify (+ 0 1) into 1
7.010 * [backup-simplify]: Simplify (sqrt 1) into 1
7.010 * [backup-simplify]: Simplify (+ 0 0) into 0
7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.010 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.010 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.010 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.010 * [taylor]: Taking taylor expansion of 1/2 in J
7.010 * [backup-simplify]: Simplify 1/2 into 1/2
7.010 * [taylor]: Taking taylor expansion of K in J
7.010 * [backup-simplify]: Simplify K into K
7.010 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.010 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.010 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.011 * [taylor]: Taking taylor expansion of J in J
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.011 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.011 * [backup-simplify]: Simplify (- 0) into 0
7.011 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.011 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.011 * [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
7.011 * [taylor]: Taking taylor expansion of -2 in U
7.011 * [backup-simplify]: Simplify -2 into -2
7.011 * [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
7.011 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.011 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.011 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.011 * [taylor]: Taking taylor expansion of 1/4 in U
7.011 * [backup-simplify]: Simplify 1/4 into 1/4
7.011 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.011 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.011 * [taylor]: Taking taylor expansion of J in U
7.011 * [backup-simplify]: Simplify J into J
7.011 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.011 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.011 * [taylor]: Taking taylor expansion of U in U
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.011 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.011 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.011 * [taylor]: Taking taylor expansion of 1/2 in U
7.011 * [backup-simplify]: Simplify 1/2 into 1/2
7.011 * [taylor]: Taking taylor expansion of K in U
7.011 * [backup-simplify]: Simplify K into K
7.011 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.012 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.012 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.012 * [backup-simplify]: Simplify (- 0) into 0
7.012 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.012 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.012 * [backup-simplify]: Simplify (* 1 1) into 1
7.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.012 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.013 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.013 * [taylor]: Taking taylor expansion of 1 in U
7.013 * [backup-simplify]: Simplify 1 into 1
7.013 * [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)))
7.013 * [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)))
7.013 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.013 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.013 * [backup-simplify]: Simplify (+ 0) into 0
7.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.015 * [backup-simplify]: Simplify (- 0) into 0
7.015 * [backup-simplify]: Simplify (+ 0 0) into 0
7.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.016 * [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
7.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.017 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
7.017 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.017 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.017 * [taylor]: Taking taylor expansion of 1/2 in U
7.017 * [backup-simplify]: Simplify 1/2 into 1/2
7.017 * [taylor]: Taking taylor expansion of K in U
7.017 * [backup-simplify]: Simplify K into K
7.017 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.017 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.017 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.017 * [taylor]: Taking taylor expansion of J in U
7.017 * [backup-simplify]: Simplify J into J
7.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.018 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.018 * [backup-simplify]: Simplify (- 0) into 0
7.018 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.018 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.018 * [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
7.018 * [taylor]: Taking taylor expansion of -2 in U
7.018 * [backup-simplify]: Simplify -2 into -2
7.018 * [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
7.018 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.018 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.018 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.018 * [taylor]: Taking taylor expansion of 1/4 in U
7.018 * [backup-simplify]: Simplify 1/4 into 1/4
7.018 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.018 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.018 * [taylor]: Taking taylor expansion of J in U
7.018 * [backup-simplify]: Simplify J into J
7.018 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.018 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.018 * [taylor]: Taking taylor expansion of U in U
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.018 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.018 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.018 * [taylor]: Taking taylor expansion of 1/2 in U
7.018 * [backup-simplify]: Simplify 1/2 into 1/2
7.018 * [taylor]: Taking taylor expansion of K in U
7.018 * [backup-simplify]: Simplify K into K
7.018 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.018 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.018 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.019 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.019 * [backup-simplify]: Simplify (- 0) into 0
7.019 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.019 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.019 * [backup-simplify]: Simplify (* 1 1) into 1
7.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.019 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.019 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.019 * [taylor]: Taking taylor expansion of 1 in U
7.019 * [backup-simplify]: Simplify 1 into 1
7.020 * [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)))
7.020 * [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)))
7.020 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.020 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.020 * [backup-simplify]: Simplify (+ 0) into 0
7.021 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.022 * [backup-simplify]: Simplify (- 0) into 0
7.023 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.024 * [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
7.025 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.025 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.026 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
7.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.026 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.026 * [taylor]: Taking taylor expansion of 1/2 in U
7.026 * [backup-simplify]: Simplify 1/2 into 1/2
7.026 * [taylor]: Taking taylor expansion of K in U
7.026 * [backup-simplify]: Simplify K into K
7.026 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.026 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.026 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.026 * [taylor]: Taking taylor expansion of J in U
7.026 * [backup-simplify]: Simplify J into J
7.026 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.026 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.027 * [backup-simplify]: Simplify (- 0) into 0
7.027 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.027 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.027 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
7.027 * [backup-simplify]: Simplify (* -2 1/2) into -1
7.027 * [taylor]: Taking taylor expansion of -1 in J
7.027 * [backup-simplify]: Simplify -1 into -1
7.028 * [backup-simplify]: Simplify (+ 0) into 0
7.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.030 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.030 * [backup-simplify]: Simplify (- 0) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.031 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
7.031 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
7.031 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
7.032 * [taylor]: Taking taylor expansion of 0 in J
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [taylor]: Taking taylor expansion of -1 in K
7.032 * [backup-simplify]: Simplify -1 into -1
7.032 * [backup-simplify]: Simplify -1 into -1
7.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.035 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.035 * [backup-simplify]: Simplify (- 0) into 0
7.036 * [backup-simplify]: Simplify (+ 0 0) into 0
7.036 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.037 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.038 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.040 * [backup-simplify]: Simplify (- 0) into 0
7.040 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.043 * [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
7.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.044 * [backup-simplify]: Simplify (+ 0 1) into 1
7.045 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
7.046 * [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))
7.047 * [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))))
7.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
7.047 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
7.047 * [taylor]: Taking taylor expansion of 2 in J
7.047 * [backup-simplify]: Simplify 2 into 2
7.047 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
7.047 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.047 * [taylor]: Taking taylor expansion of 1/2 in J
7.047 * [backup-simplify]: Simplify 1/2 into 1/2
7.047 * [taylor]: Taking taylor expansion of K in J
7.047 * [backup-simplify]: Simplify K into K
7.047 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.047 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.047 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.047 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.047 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.048 * [backup-simplify]: Simplify (- 0) into 0
7.048 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.048 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.048 * [taylor]: Taking taylor expansion of J in J
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 1 into 1
7.048 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.049 * [backup-simplify]: Simplify (* 1 1) into 1
7.049 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
7.049 * [backup-simplify]: Simplify (+ 0) into 0
7.050 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.050 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.051 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.051 * [backup-simplify]: Simplify (- 0) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
7.054 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.054 * [backup-simplify]: Simplify (- 0) into 0
7.054 * [taylor]: Taking taylor expansion of 0 in K
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.055 * [taylor]: Taking taylor expansion of 0 in K
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [taylor]: Taking taylor expansion of 0 in K
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.059 * [backup-simplify]: Simplify (- 0) into 0
7.060 * [backup-simplify]: Simplify (+ 0 0) into 0
7.060 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.061 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.066 * [backup-simplify]: Simplify (- 0) into 0
7.066 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.070 * [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
7.071 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.072 * [backup-simplify]: Simplify (+ 0 0) into 0
7.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
7.073 * [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
7.074 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
7.074 * [taylor]: Taking taylor expansion of 0 in J
7.074 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.077 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.078 * [backup-simplify]: Simplify (- 0) into 0
7.078 * [backup-simplify]: Simplify (+ 0 0) into 0
7.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.082 * [backup-simplify]: Simplify (- 0) into 0
7.082 * [taylor]: Taking taylor expansion of 0 in K
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [taylor]: Taking taylor expansion of 0 in K
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
7.083 * [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))))))))
7.083 * [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
7.083 * [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
7.083 * [taylor]: Taking taylor expansion of 2 in K
7.084 * [backup-simplify]: Simplify 2 into 2
7.084 * [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
7.084 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
7.084 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.084 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.084 * [taylor]: Taking taylor expansion of -1/2 in K
7.084 * [backup-simplify]: Simplify -1/2 into -1/2
7.084 * [taylor]: Taking taylor expansion of K in K
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.084 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.084 * [taylor]: Taking taylor expansion of J in K
7.084 * [backup-simplify]: Simplify J into J
7.084 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.085 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
7.085 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
7.085 * [taylor]: Taking taylor expansion of 1 in K
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
7.085 * [taylor]: Taking taylor expansion of 1/4 in K
7.085 * [backup-simplify]: Simplify 1/4 into 1/4
7.085 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
7.085 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.085 * [taylor]: Taking taylor expansion of J in K
7.085 * [backup-simplify]: Simplify J into J
7.085 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
7.085 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.085 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.085 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.085 * [taylor]: Taking taylor expansion of -1/2 in K
7.085 * [backup-simplify]: Simplify -1/2 into -1/2
7.085 * [taylor]: Taking taylor expansion of K in K
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.086 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.086 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.086 * [taylor]: Taking taylor expansion of U in K
7.086 * [backup-simplify]: Simplify U into U
7.086 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.086 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.086 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.086 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.086 * [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)))
7.086 * [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))))
7.087 * [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)))))
7.087 * [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))))))
7.087 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.087 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
7.088 * [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
7.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
7.090 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
7.090 * [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
7.090 * [taylor]: Taking taylor expansion of 2 in J
7.090 * [backup-simplify]: Simplify 2 into 2
7.090 * [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
7.090 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.090 * [taylor]: Taking taylor expansion of -1/2 in J
7.090 * [backup-simplify]: Simplify -1/2 into -1/2
7.090 * [taylor]: Taking taylor expansion of K in J
7.090 * [backup-simplify]: Simplify K into K
7.091 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.091 * [taylor]: Taking taylor expansion of J in J
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 1 into 1
7.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.091 * [backup-simplify]: Simplify (- 0) into 0
7.091 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.092 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.092 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
7.092 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
7.092 * [taylor]: Taking taylor expansion of 1 in J
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.092 * [taylor]: Taking taylor expansion of 1/4 in J
7.092 * [backup-simplify]: Simplify 1/4 into 1/4
7.092 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.092 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.092 * [taylor]: Taking taylor expansion of J in J
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.092 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.092 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.092 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.092 * [taylor]: Taking taylor expansion of -1/2 in J
7.092 * [backup-simplify]: Simplify -1/2 into -1/2
7.092 * [taylor]: Taking taylor expansion of K in J
7.092 * [backup-simplify]: Simplify K into K
7.092 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.092 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.092 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.093 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.093 * [backup-simplify]: Simplify (- 0) into 0
7.093 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.093 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.093 * [taylor]: Taking taylor expansion of U in J
7.093 * [backup-simplify]: Simplify U into U
7.094 * [backup-simplify]: Simplify (* 1 1) into 1
7.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.094 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.094 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.095 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.095 * [backup-simplify]: Simplify (+ 1 0) into 1
7.095 * [backup-simplify]: Simplify (sqrt 1) into 1
7.096 * [backup-simplify]: Simplify (+ 0 0) into 0
7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.097 * [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
7.097 * [taylor]: Taking taylor expansion of 2 in U
7.097 * [backup-simplify]: Simplify 2 into 2
7.097 * [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
7.097 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
7.097 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.097 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.097 * [taylor]: Taking taylor expansion of -1/2 in U
7.097 * [backup-simplify]: Simplify -1/2 into -1/2
7.097 * [taylor]: Taking taylor expansion of K in U
7.097 * [backup-simplify]: Simplify K into K
7.097 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.097 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.097 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.097 * [taylor]: Taking taylor expansion of J in U
7.097 * [backup-simplify]: Simplify J into J
7.097 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.097 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.098 * [backup-simplify]: Simplify (- 0) into 0
7.098 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.098 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.098 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.098 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.098 * [taylor]: Taking taylor expansion of 1 in U
7.098 * [backup-simplify]: Simplify 1 into 1
7.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.098 * [taylor]: Taking taylor expansion of 1/4 in U
7.098 * [backup-simplify]: Simplify 1/4 into 1/4
7.098 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.098 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.098 * [taylor]: Taking taylor expansion of J in U
7.098 * [backup-simplify]: Simplify J into J
7.098 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.098 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.098 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.098 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.098 * [taylor]: Taking taylor expansion of -1/2 in U
7.098 * [backup-simplify]: Simplify -1/2 into -1/2
7.098 * [taylor]: Taking taylor expansion of K in U
7.098 * [backup-simplify]: Simplify K into K
7.098 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.098 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.099 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.099 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.099 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.099 * [backup-simplify]: Simplify (- 0) into 0
7.099 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.099 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.099 * [taylor]: Taking taylor expansion of U in U
7.099 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify 1 into 1
7.099 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.100 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.100 * [backup-simplify]: Simplify (* 1 1) into 1
7.100 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.100 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.100 * [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)))
7.101 * [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)))
7.101 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.101 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.102 * [backup-simplify]: Simplify (+ 0) into 0
7.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.104 * [backup-simplify]: Simplify (- 0) into 0
7.105 * [backup-simplify]: Simplify (+ 0 0) into 0
7.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.105 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.106 * [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
7.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.106 * [backup-simplify]: Simplify (+ 0 0) into 0
7.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.106 * [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
7.106 * [taylor]: Taking taylor expansion of 2 in U
7.106 * [backup-simplify]: Simplify 2 into 2
7.106 * [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
7.106 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
7.106 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.106 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.107 * [taylor]: Taking taylor expansion of -1/2 in U
7.107 * [backup-simplify]: Simplify -1/2 into -1/2
7.107 * [taylor]: Taking taylor expansion of K in U
7.107 * [backup-simplify]: Simplify K into K
7.107 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.107 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.107 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.107 * [taylor]: Taking taylor expansion of J in U
7.107 * [backup-simplify]: Simplify J into J
7.107 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.107 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.107 * [backup-simplify]: Simplify (- 0) into 0
7.107 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.107 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.107 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.107 * [taylor]: Taking taylor expansion of 1 in U
7.107 * [backup-simplify]: Simplify 1 into 1
7.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.107 * [taylor]: Taking taylor expansion of 1/4 in U
7.107 * [backup-simplify]: Simplify 1/4 into 1/4
7.107 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.107 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.107 * [taylor]: Taking taylor expansion of J in U
7.107 * [backup-simplify]: Simplify J into J
7.107 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.107 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.107 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.107 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.107 * [taylor]: Taking taylor expansion of -1/2 in U
7.107 * [backup-simplify]: Simplify -1/2 into -1/2
7.107 * [taylor]: Taking taylor expansion of K in U
7.108 * [backup-simplify]: Simplify K into K
7.108 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.108 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.108 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.108 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.108 * [backup-simplify]: Simplify (- 0) into 0
7.108 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.108 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.108 * [taylor]: Taking taylor expansion of U in U
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 1 into 1
7.108 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.108 * [backup-simplify]: Simplify (* 1 1) into 1
7.109 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.109 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.109 * [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)))
7.109 * [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)))
7.109 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.109 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.110 * [backup-simplify]: Simplify (+ 0) into 0
7.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.110 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.111 * [backup-simplify]: Simplify (- 0) into 0
7.111 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.112 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.112 * [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
7.113 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.113 * [backup-simplify]: Simplify (+ 0 0) into 0
7.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.113 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
7.113 * [backup-simplify]: Simplify (* 2 1/2) into 1
7.113 * [taylor]: Taking taylor expansion of 1 in J
7.113 * [backup-simplify]: Simplify 1 into 1
7.114 * [backup-simplify]: Simplify (+ 0) into 0
7.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.114 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.115 * [backup-simplify]: Simplify (- 0) into 0
7.115 * [backup-simplify]: Simplify (+ 0 0) into 0
7.115 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
7.116 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
7.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
7.116 * [taylor]: Taking taylor expansion of 0 in J
7.116 * [backup-simplify]: Simplify 0 into 0
7.116 * [taylor]: Taking taylor expansion of 1 in K
7.116 * [backup-simplify]: Simplify 1 into 1
7.116 * [backup-simplify]: Simplify 1 into 1
7.116 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.119 * [backup-simplify]: Simplify (- 0) into 0
7.119 * [backup-simplify]: Simplify (+ 0 0) into 0
7.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.120 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.120 * [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
7.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
7.121 * [backup-simplify]: Simplify (+ 1 0) into 1
7.122 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
7.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.126 * [backup-simplify]: Simplify (- 0) into 0
7.126 * [backup-simplify]: Simplify (+ 0 0) into 0
7.126 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.126 * [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))
7.127 * [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)))
7.127 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
7.127 * [taylor]: Taking taylor expansion of 2 in J
7.127 * [backup-simplify]: Simplify 2 into 2
7.127 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
7.127 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.127 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.127 * [taylor]: Taking taylor expansion of -1/2 in J
7.127 * [backup-simplify]: Simplify -1/2 into -1/2
7.127 * [taylor]: Taking taylor expansion of K in J
7.127 * [backup-simplify]: Simplify K into K
7.127 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.127 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.127 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.128 * [backup-simplify]: Simplify (- 0) into 0
7.128 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.128 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.128 * [taylor]: Taking taylor expansion of J in J
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify 1 into 1
7.128 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.128 * [backup-simplify]: Simplify (* 1 1) into 1
7.128 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.128 * [backup-simplify]: Simplify (+ 0) into 0
7.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.130 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.130 * [backup-simplify]: Simplify (- 0) into 0
7.130 * [backup-simplify]: Simplify (+ 0 0) into 0
7.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
7.131 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
7.132 * [taylor]: Taking taylor expansion of 0 in K
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [taylor]: Taking taylor expansion of 0 in K
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [taylor]: Taking taylor expansion of 0 in K
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.138 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.138 * [backup-simplify]: Simplify (- 0) into 0
7.139 * [backup-simplify]: Simplify (+ 0 0) into 0
7.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.140 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.141 * [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
7.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.142 * [backup-simplify]: Simplify (+ 0 0) into 0
7.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
7.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.147 * [backup-simplify]: Simplify (- 0) into 0
7.148 * [backup-simplify]: Simplify (+ 0 0) into 0
7.148 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.149 * [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
7.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
7.150 * [taylor]: Taking taylor expansion of 0 in J
7.150 * [backup-simplify]: Simplify 0 into 0
7.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.153 * [backup-simplify]: Simplify (- 0) into 0
7.154 * [backup-simplify]: Simplify (+ 0 0) into 0
7.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
7.158 * [taylor]: Taking taylor expansion of 0 in K
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [taylor]: Taking taylor expansion of 0 in K
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
7.158 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
7.158 * [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))))
7.158 * [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
7.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
7.158 * [taylor]: Taking taylor expansion of 1/4 in K
7.158 * [backup-simplify]: Simplify 1/4 into 1/4
7.158 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
7.158 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.159 * [taylor]: Taking taylor expansion of U in K
7.159 * [backup-simplify]: Simplify U into U
7.159 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
7.159 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.159 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.159 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.159 * [taylor]: Taking taylor expansion of 1/2 in K
7.159 * [backup-simplify]: Simplify 1/2 into 1/2
7.159 * [taylor]: Taking taylor expansion of K in K
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify 1 into 1
7.159 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.160 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.160 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.160 * [taylor]: Taking taylor expansion of J in K
7.160 * [backup-simplify]: Simplify J into J
7.160 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.160 * [backup-simplify]: Simplify (* 1 1) into 1
7.161 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.161 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
7.161 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
7.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
7.161 * [taylor]: Taking taylor expansion of 1/4 in J
7.161 * [backup-simplify]: Simplify 1/4 into 1/4
7.161 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.161 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.161 * [taylor]: Taking taylor expansion of U in J
7.161 * [backup-simplify]: Simplify U into U
7.161 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.161 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.161 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.161 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.161 * [taylor]: Taking taylor expansion of 1/2 in J
7.161 * [backup-simplify]: Simplify 1/2 into 1/2
7.161 * [taylor]: Taking taylor expansion of K in J
7.161 * [backup-simplify]: Simplify K into K
7.161 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.161 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.161 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.161 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.161 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.162 * [backup-simplify]: Simplify (- 0) into 0
7.162 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.162 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.162 * [taylor]: Taking taylor expansion of J in J
7.162 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify 1 into 1
7.162 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.162 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.162 * [backup-simplify]: Simplify (* 1 1) into 1
7.162 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.162 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
7.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.163 * [taylor]: Taking taylor expansion of 1/4 in U
7.163 * [backup-simplify]: Simplify 1/4 into 1/4
7.163 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.163 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.163 * [taylor]: Taking taylor expansion of U in U
7.163 * [backup-simplify]: Simplify 0 into 0
7.163 * [backup-simplify]: Simplify 1 into 1
7.163 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.163 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.163 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.163 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.163 * [taylor]: Taking taylor expansion of 1/2 in U
7.163 * [backup-simplify]: Simplify 1/2 into 1/2
7.163 * [taylor]: Taking taylor expansion of K in U
7.163 * [backup-simplify]: Simplify K into K
7.163 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.163 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.163 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.163 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.163 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.163 * [backup-simplify]: Simplify (- 0) into 0
7.163 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.163 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.163 * [taylor]: Taking taylor expansion of J in U
7.163 * [backup-simplify]: Simplify J into J
7.164 * [backup-simplify]: Simplify (* 1 1) into 1
7.164 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.164 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.164 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.164 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.164 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.164 * [taylor]: Taking taylor expansion of 1/4 in U
7.164 * [backup-simplify]: Simplify 1/4 into 1/4
7.164 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.164 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.164 * [taylor]: Taking taylor expansion of U in U
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.164 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.164 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.164 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.164 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.164 * [taylor]: Taking taylor expansion of 1/2 in U
7.164 * [backup-simplify]: Simplify 1/2 into 1/2
7.164 * [taylor]: Taking taylor expansion of K in U
7.164 * [backup-simplify]: Simplify K into K
7.164 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.164 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.164 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.164 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.164 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.165 * [backup-simplify]: Simplify (- 0) into 0
7.165 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.165 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.165 * [taylor]: Taking taylor expansion of J in U
7.165 * [backup-simplify]: Simplify J into J
7.165 * [backup-simplify]: Simplify (* 1 1) into 1
7.165 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.165 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.165 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.165 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.166 * [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)))
7.166 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.166 * [taylor]: Taking taylor expansion of 1/4 in J
7.166 * [backup-simplify]: Simplify 1/4 into 1/4
7.166 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.166 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.166 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.166 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.166 * [taylor]: Taking taylor expansion of 1/2 in J
7.166 * [backup-simplify]: Simplify 1/2 into 1/2
7.166 * [taylor]: Taking taylor expansion of K in J
7.166 * [backup-simplify]: Simplify K into K
7.166 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.166 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.166 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.166 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.166 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.166 * [backup-simplify]: Simplify (- 0) into 0
7.167 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.167 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.167 * [taylor]: Taking taylor expansion of J in J
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify 1 into 1
7.167 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.167 * [backup-simplify]: Simplify (* 1 1) into 1
7.167 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.167 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
7.167 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
7.167 * [taylor]: Taking taylor expansion of 1/4 in K
7.167 * [backup-simplify]: Simplify 1/4 into 1/4
7.167 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.167 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.167 * [taylor]: Taking taylor expansion of 1/2 in K
7.167 * [backup-simplify]: Simplify 1/2 into 1/2
7.167 * [taylor]: Taking taylor expansion of K in K
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify 1 into 1
7.168 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.168 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.168 * [backup-simplify]: Simplify (* 1 1) into 1
7.168 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
7.169 * [backup-simplify]: Simplify 1/4 into 1/4
7.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.169 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.169 * [backup-simplify]: Simplify (+ 0) into 0
7.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.171 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.171 * [backup-simplify]: Simplify (- 0) into 0
7.171 * [backup-simplify]: Simplify (+ 0 0) into 0
7.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.171 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
7.172 * [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
7.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
7.172 * [taylor]: Taking taylor expansion of 0 in J
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.173 * [backup-simplify]: Simplify (+ 0) into 0
7.173 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.174 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.174 * [backup-simplify]: Simplify (- 0) into 0
7.174 * [backup-simplify]: Simplify (+ 0 0) into 0
7.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.175 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.175 * [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
7.175 * [taylor]: Taking taylor expansion of 0 in K
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify (+ 0) into 0
7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
7.176 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.177 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.178 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.179 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.180 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.180 * [backup-simplify]: Simplify (- 0) into 0
7.180 * [backup-simplify]: Simplify (+ 0 0) into 0
7.181 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
7.181 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
7.181 * [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
7.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
7.182 * [taylor]: Taking taylor expansion of 0 in J
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.185 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.185 * [backup-simplify]: Simplify (- 0) into 0
7.185 * [backup-simplify]: Simplify (+ 0 0) into 0
7.186 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
7.186 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.186 * [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
7.186 * [taylor]: Taking taylor expansion of 0 in K
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.188 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
7.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
7.188 * [backup-simplify]: Simplify 1/16 into 1/16
7.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.189 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.190 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.193 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.193 * [backup-simplify]: Simplify (- 0) into 0
7.193 * [backup-simplify]: Simplify (+ 0 0) into 0
7.194 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
7.194 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
7.195 * [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
7.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
7.196 * [taylor]: Taking taylor expansion of 0 in J
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [taylor]: Taking taylor expansion of 0 in K
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.198 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.198 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.202 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.202 * [backup-simplify]: Simplify (- 0) into 0
7.202 * [backup-simplify]: Simplify (+ 0 0) into 0
7.203 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
7.204 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.205 * [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
7.205 * [taylor]: Taking taylor expansion of 0 in K
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
7.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
7.210 * [backup-simplify]: Simplify 0 into 0
7.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.212 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
7.215 * [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
7.216 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
7.219 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.220 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.221 * [backup-simplify]: Simplify (- 0) into 0
7.221 * [backup-simplify]: Simplify (+ 0 0) into 0
7.222 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
7.224 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
7.225 * [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
7.226 * [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
7.226 * [taylor]: Taking taylor expansion of 0 in J
7.226 * [backup-simplify]: Simplify 0 into 0
7.226 * [taylor]: Taking taylor expansion of 0 in K
7.226 * [backup-simplify]: Simplify 0 into 0
7.226 * [backup-simplify]: Simplify 0 into 0
7.227 * [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))))
7.227 * [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))))
7.227 * [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
7.227 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
7.227 * [taylor]: Taking taylor expansion of 1/4 in K
7.227 * [backup-simplify]: Simplify 1/4 into 1/4
7.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
7.228 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.228 * [taylor]: Taking taylor expansion of J in K
7.228 * [backup-simplify]: Simplify J into J
7.228 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
7.228 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.228 * [taylor]: Taking taylor expansion of U in K
7.228 * [backup-simplify]: Simplify U into U
7.228 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.228 * [taylor]: Taking taylor expansion of 1/2 in K
7.228 * [backup-simplify]: Simplify 1/2 into 1/2
7.228 * [taylor]: Taking taylor expansion of K in K
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 1 into 1
7.228 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.228 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.228 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.229 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.229 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.229 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.229 * [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)))
7.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.229 * [taylor]: Taking taylor expansion of 1/4 in J
7.229 * [backup-simplify]: Simplify 1/4 into 1/4
7.229 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.229 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.229 * [taylor]: Taking taylor expansion of J in J
7.229 * [backup-simplify]: Simplify 0 into 0
7.229 * [backup-simplify]: Simplify 1 into 1
7.229 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.229 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.229 * [taylor]: Taking taylor expansion of U in J
7.229 * [backup-simplify]: Simplify U into U
7.229 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.229 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.229 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.229 * [taylor]: Taking taylor expansion of 1/2 in J
7.229 * [backup-simplify]: Simplify 1/2 into 1/2
7.229 * [taylor]: Taking taylor expansion of K in J
7.230 * [backup-simplify]: Simplify K into K
7.230 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.230 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.230 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.230 * [backup-simplify]: Simplify (- 0) into 0
7.230 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.231 * [backup-simplify]: Simplify (* 1 1) into 1
7.231 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.231 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.231 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.231 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.231 * [taylor]: Taking taylor expansion of 1/4 in U
7.231 * [backup-simplify]: Simplify 1/4 into 1/4
7.231 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.231 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.231 * [taylor]: Taking taylor expansion of J in U
7.231 * [backup-simplify]: Simplify J into J
7.232 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.232 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.232 * [taylor]: Taking taylor expansion of U in U
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 1 into 1
7.232 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.232 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.232 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.232 * [taylor]: Taking taylor expansion of 1/2 in U
7.232 * [backup-simplify]: Simplify 1/2 into 1/2
7.232 * [taylor]: Taking taylor expansion of K in U
7.232 * [backup-simplify]: Simplify K into K
7.232 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.232 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.232 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.232 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.233 * [backup-simplify]: Simplify (- 0) into 0
7.233 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.233 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.233 * [backup-simplify]: Simplify (* 1 1) into 1
7.233 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.233 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.234 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.234 * [taylor]: Taking taylor expansion of 1/4 in U
7.234 * [backup-simplify]: Simplify 1/4 into 1/4
7.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.234 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.234 * [taylor]: Taking taylor expansion of J in U
7.234 * [backup-simplify]: Simplify J into J
7.234 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.234 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.234 * [taylor]: Taking taylor expansion of U in U
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.234 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.234 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.234 * [taylor]: Taking taylor expansion of 1/2 in U
7.234 * [backup-simplify]: Simplify 1/2 into 1/2
7.234 * [taylor]: Taking taylor expansion of K in U
7.234 * [backup-simplify]: Simplify K into K
7.234 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.234 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.234 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.234 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.234 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.235 * [backup-simplify]: Simplify (- 0) into 0
7.235 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.235 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.236 * [backup-simplify]: Simplify (* 1 1) into 1
7.236 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.236 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.236 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.236 * [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)))
7.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
7.236 * [taylor]: Taking taylor expansion of 1/4 in J
7.237 * [backup-simplify]: Simplify 1/4 into 1/4
7.237 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
7.237 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.237 * [taylor]: Taking taylor expansion of J in J
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify 1 into 1
7.237 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.237 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.237 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.237 * [taylor]: Taking taylor expansion of 1/2 in J
7.237 * [backup-simplify]: Simplify 1/2 into 1/2
7.237 * [taylor]: Taking taylor expansion of K in J
7.237 * [backup-simplify]: Simplify K into K
7.237 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.237 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.237 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.237 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.238 * [backup-simplify]: Simplify (- 0) into 0
7.238 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.238 * [backup-simplify]: Simplify (* 1 1) into 1
7.238 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.239 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
7.239 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
7.239 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
7.239 * [taylor]: Taking taylor expansion of 1/4 in K
7.239 * [backup-simplify]: Simplify 1/4 into 1/4
7.239 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.239 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.239 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.239 * [taylor]: Taking taylor expansion of 1/2 in K
7.239 * [backup-simplify]: Simplify 1/2 into 1/2
7.239 * [taylor]: Taking taylor expansion of K in K
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 1 into 1
7.239 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.239 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.240 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.240 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
7.240 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
7.240 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.240 * [backup-simplify]: Simplify (+ 0) into 0
7.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.247 * [backup-simplify]: Simplify (- 0) into 0
7.248 * [backup-simplify]: Simplify (+ 0 0) into 0
7.248 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.249 * [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
7.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.250 * [taylor]: Taking taylor expansion of 0 in J
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [taylor]: Taking taylor expansion of 0 in K
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.251 * [backup-simplify]: Simplify (+ 0) into 0
7.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.252 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.253 * [backup-simplify]: Simplify (- 0) into 0
7.253 * [backup-simplify]: Simplify (+ 0 0) into 0
7.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.254 * [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
7.254 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
7.254 * [taylor]: Taking taylor expansion of 0 in K
7.254 * [backup-simplify]: Simplify 0 into 0
7.254 * [backup-simplify]: Simplify 0 into 0
7.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.254 * [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
7.254 * [backup-simplify]: Simplify 0 into 0
7.255 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.257 * [backup-simplify]: Simplify (- 0) into 0
7.257 * [backup-simplify]: Simplify (+ 0 0) into 0
7.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.259 * [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
7.259 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.259 * [taylor]: Taking taylor expansion of 0 in J
7.259 * [backup-simplify]: Simplify 0 into 0
7.259 * [taylor]: Taking taylor expansion of 0 in K
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [taylor]: Taking taylor expansion of 0 in K
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.262 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.262 * [backup-simplify]: Simplify (- 0) into 0
7.263 * [backup-simplify]: Simplify (+ 0 0) into 0
7.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.263 * [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
7.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
7.264 * [taylor]: Taking taylor expansion of 0 in K
7.264 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify 0 into 0
7.264 * [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))))
7.264 * [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))))
7.264 * [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
7.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
7.264 * [taylor]: Taking taylor expansion of 1/4 in K
7.264 * [backup-simplify]: Simplify 1/4 into 1/4
7.264 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
7.264 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.264 * [taylor]: Taking taylor expansion of J in K
7.264 * [backup-simplify]: Simplify J into J
7.264 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
7.264 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.264 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.264 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.264 * [taylor]: Taking taylor expansion of -1/2 in K
7.264 * [backup-simplify]: Simplify -1/2 into -1/2
7.264 * [taylor]: Taking taylor expansion of K in K
7.264 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify 1 into 1
7.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.265 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.265 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.265 * [taylor]: Taking taylor expansion of U in K
7.265 * [backup-simplify]: Simplify U into U
7.265 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.265 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.265 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.265 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.265 * [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)))
7.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.265 * [taylor]: Taking taylor expansion of 1/4 in J
7.265 * [backup-simplify]: Simplify 1/4 into 1/4
7.265 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.265 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.265 * [taylor]: Taking taylor expansion of J in J
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify 1 into 1
7.265 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.265 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.265 * [taylor]: Taking taylor expansion of -1/2 in J
7.266 * [backup-simplify]: Simplify -1/2 into -1/2
7.266 * [taylor]: Taking taylor expansion of K in J
7.266 * [backup-simplify]: Simplify K into K
7.266 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.266 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.266 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.266 * [backup-simplify]: Simplify (- 0) into 0
7.266 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.266 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.266 * [taylor]: Taking taylor expansion of U in J
7.266 * [backup-simplify]: Simplify U into U
7.266 * [backup-simplify]: Simplify (* 1 1) into 1
7.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.266 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.267 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.267 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.267 * [taylor]: Taking taylor expansion of 1/4 in U
7.267 * [backup-simplify]: Simplify 1/4 into 1/4
7.267 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.267 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.267 * [taylor]: Taking taylor expansion of J in U
7.267 * [backup-simplify]: Simplify J into J
7.267 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.267 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.267 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.267 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.267 * [taylor]: Taking taylor expansion of -1/2 in U
7.267 * [backup-simplify]: Simplify -1/2 into -1/2
7.267 * [taylor]: Taking taylor expansion of K in U
7.267 * [backup-simplify]: Simplify K into K
7.267 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.267 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.267 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.267 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.267 * [backup-simplify]: Simplify (- 0) into 0
7.267 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.268 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.268 * [taylor]: Taking taylor expansion of U in U
7.268 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.268 * [backup-simplify]: Simplify (* 1 1) into 1
7.268 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.268 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.268 * [taylor]: Taking taylor expansion of 1/4 in U
7.268 * [backup-simplify]: Simplify 1/4 into 1/4
7.268 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.268 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.268 * [taylor]: Taking taylor expansion of J in U
7.268 * [backup-simplify]: Simplify J into J
7.268 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.268 * [taylor]: Taking taylor expansion of -1/2 in U
7.268 * [backup-simplify]: Simplify -1/2 into -1/2
7.268 * [taylor]: Taking taylor expansion of K in U
7.268 * [backup-simplify]: Simplify K into K
7.268 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.268 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.269 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.269 * [backup-simplify]: Simplify (- 0) into 0
7.269 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.269 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.269 * [taylor]: Taking taylor expansion of U in U
7.269 * [backup-simplify]: Simplify 0 into 0
7.269 * [backup-simplify]: Simplify 1 into 1
7.269 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.269 * [backup-simplify]: Simplify (* 1 1) into 1
7.269 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.269 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.270 * [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)))
7.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
7.270 * [taylor]: Taking taylor expansion of 1/4 in J
7.270 * [backup-simplify]: Simplify 1/4 into 1/4
7.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
7.270 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.270 * [taylor]: Taking taylor expansion of J in J
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.270 * [taylor]: Taking taylor expansion of -1/2 in J
7.270 * [backup-simplify]: Simplify -1/2 into -1/2
7.270 * [taylor]: Taking taylor expansion of K in J
7.270 * [backup-simplify]: Simplify K into K
7.270 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.270 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.270 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.270 * [backup-simplify]: Simplify (- 0) into 0
7.270 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.271 * [backup-simplify]: Simplify (* 1 1) into 1
7.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.271 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
7.271 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
7.271 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
7.271 * [taylor]: Taking taylor expansion of 1/4 in K
7.271 * [backup-simplify]: Simplify 1/4 into 1/4
7.271 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.271 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.271 * [taylor]: Taking taylor expansion of -1/2 in K
7.271 * [backup-simplify]: Simplify -1/2 into -1/2
7.271 * [taylor]: Taking taylor expansion of K in K
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify 1 into 1
7.271 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.271 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.272 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.272 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
7.272 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
7.272 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.272 * [backup-simplify]: Simplify (+ 0) into 0
7.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.274 * [backup-simplify]: Simplify (- 0) into 0
7.274 * [backup-simplify]: Simplify (+ 0 0) into 0
7.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.275 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.275 * [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
7.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.276 * [taylor]: Taking taylor expansion of 0 in J
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [taylor]: Taking taylor expansion of 0 in K
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.277 * [backup-simplify]: Simplify (+ 0) into 0
7.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.278 * [backup-simplify]: Simplify (- 0) into 0
7.278 * [backup-simplify]: Simplify (+ 0 0) into 0
7.278 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.278 * [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
7.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
7.279 * [taylor]: Taking taylor expansion of 0 in K
7.279 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.279 * [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
7.279 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.281 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.282 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.282 * [backup-simplify]: Simplify (- 0) into 0
7.283 * [backup-simplify]: Simplify (+ 0 0) into 0
7.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.283 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.284 * [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
7.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
7.284 * [taylor]: Taking taylor expansion of 0 in J
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [taylor]: Taking taylor expansion of 0 in K
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [taylor]: Taking taylor expansion of 0 in K
7.284 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.286 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.286 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.287 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.287 * [backup-simplify]: Simplify (- 0) into 0
7.287 * [backup-simplify]: Simplify (+ 0 0) into 0
7.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.288 * [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
7.289 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
7.289 * [taylor]: Taking taylor expansion of 0 in K
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [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))))
7.289 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2)
7.289 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
7.289 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
7.289 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
7.289 * [taylor]: Taking taylor expansion of 2 in K
7.289 * [backup-simplify]: Simplify 2 into 2
7.289 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
7.289 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.289 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.289 * [taylor]: Taking taylor expansion of 1/2 in K
7.289 * [backup-simplify]: Simplify 1/2 into 1/2
7.289 * [taylor]: Taking taylor expansion of K in K
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 1 into 1
7.289 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.290 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.290 * [taylor]: Taking taylor expansion of J in K
7.290 * [backup-simplify]: Simplify J into J
7.290 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
7.290 * [taylor]: Taking taylor expansion of 2 in J
7.290 * [backup-simplify]: Simplify 2 into 2
7.290 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.290 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.290 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.290 * [taylor]: Taking taylor expansion of 1/2 in J
7.290 * [backup-simplify]: Simplify 1/2 into 1/2
7.290 * [taylor]: Taking taylor expansion of K in J
7.290 * [backup-simplify]: Simplify K into K
7.290 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.290 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.290 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.290 * [taylor]: Taking taylor expansion of J in J
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify 1 into 1
7.290 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
7.290 * [taylor]: Taking taylor expansion of 2 in J
7.290 * [backup-simplify]: Simplify 2 into 2
7.290 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.290 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.290 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.290 * [taylor]: Taking taylor expansion of 1/2 in J
7.290 * [backup-simplify]: Simplify 1/2 into 1/2
7.290 * [taylor]: Taking taylor expansion of K in J
7.290 * [backup-simplify]: Simplify K into K
7.290 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.290 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.291 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.291 * [taylor]: Taking taylor expansion of J in J
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 1 into 1
7.291 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.291 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.291 * [backup-simplify]: Simplify (- 0) into 0
7.291 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.291 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
7.291 * [backup-simplify]: Simplify (* 2 0) into 0
7.291 * [taylor]: Taking taylor expansion of 0 in K
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.292 * [backup-simplify]: Simplify (+ 0) into 0
7.292 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.293 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.293 * [backup-simplify]: Simplify (- 0) into 0
7.293 * [backup-simplify]: Simplify (+ 0 0) into 0
7.294 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
7.294 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
7.294 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
7.294 * [taylor]: Taking taylor expansion of 2 in K
7.294 * [backup-simplify]: Simplify 2 into 2
7.294 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.294 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.294 * [taylor]: Taking taylor expansion of 1/2 in K
7.294 * [backup-simplify]: Simplify 1/2 into 1/2
7.294 * [taylor]: Taking taylor expansion of K in K
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [backup-simplify]: Simplify 1 into 1
7.295 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.295 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.295 * [backup-simplify]: Simplify (* 2 1) into 2
7.295 * [backup-simplify]: Simplify 2 into 2
7.295 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.298 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.299 * [backup-simplify]: Simplify (- 0) into 0
7.299 * [backup-simplify]: Simplify (+ 0 0) into 0
7.300 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
7.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
7.301 * [taylor]: Taking taylor expansion of 0 in K
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify (+ 0) into 0
7.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.307 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.308 * [backup-simplify]: Simplify (- 0) into 0
7.308 * [backup-simplify]: Simplify (+ 0 0) into 0
7.309 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
7.310 * [taylor]: Taking taylor expansion of 0 in K
7.310 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify 0 into 0
7.311 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
7.311 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
7.311 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
7.311 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
7.311 * [taylor]: Taking taylor expansion of 2 in K
7.311 * [backup-simplify]: Simplify 2 into 2
7.311 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
7.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.311 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.311 * [taylor]: Taking taylor expansion of 1/2 in K
7.311 * [backup-simplify]: Simplify 1/2 into 1/2
7.311 * [taylor]: Taking taylor expansion of K in K
7.311 * [backup-simplify]: Simplify 0 into 0
7.311 * [backup-simplify]: Simplify 1 into 1
7.312 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.312 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.312 * [taylor]: Taking taylor expansion of J in K
7.312 * [backup-simplify]: Simplify J into J
7.312 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.312 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
7.312 * [taylor]: Taking taylor expansion of 2 in J
7.312 * [backup-simplify]: Simplify 2 into 2
7.312 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.312 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.312 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.312 * [taylor]: Taking taylor expansion of 1/2 in J
7.312 * [backup-simplify]: Simplify 1/2 into 1/2
7.312 * [taylor]: Taking taylor expansion of K in J
7.312 * [backup-simplify]: Simplify K into K
7.312 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.312 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.312 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.312 * [taylor]: Taking taylor expansion of J in J
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 1 into 1
7.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.313 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.313 * [backup-simplify]: Simplify (- 0) into 0
7.313 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.313 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.313 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
7.313 * [taylor]: Taking taylor expansion of 2 in J
7.313 * [backup-simplify]: Simplify 2 into 2
7.313 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.313 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.313 * [taylor]: Taking taylor expansion of 1/2 in J
7.313 * [backup-simplify]: Simplify 1/2 into 1/2
7.313 * [taylor]: Taking taylor expansion of K in J
7.314 * [backup-simplify]: Simplify K into K
7.314 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.314 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.314 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.314 * [taylor]: Taking taylor expansion of J in J
7.314 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify 1 into 1
7.314 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.314 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.314 * [backup-simplify]: Simplify (- 0) into 0
7.314 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.315 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.315 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
7.315 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
7.315 * [taylor]: Taking taylor expansion of 2 in K
7.315 * [backup-simplify]: Simplify 2 into 2
7.315 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.315 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.315 * [taylor]: Taking taylor expansion of 1/2 in K
7.315 * [backup-simplify]: Simplify 1/2 into 1/2
7.315 * [taylor]: Taking taylor expansion of K in K
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.316 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.316 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
7.316 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
7.316 * [backup-simplify]: Simplify (+ 0) into 0
7.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.317 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.318 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.318 * [backup-simplify]: Simplify (- 0) into 0
7.319 * [backup-simplify]: Simplify (+ 0 0) into 0
7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
7.320 * [taylor]: Taking taylor expansion of 0 in K
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
7.321 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.324 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.325 * [backup-simplify]: Simplify (- 0) into 0
7.325 * [backup-simplify]: Simplify (+ 0 0) into 0
7.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.328 * [taylor]: Taking taylor expansion of 0 in K
7.328 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.330 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.334 * [backup-simplify]: Simplify (- 0) into 0
7.335 * [backup-simplify]: Simplify (+ 0 0) into 0
7.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.338 * [taylor]: Taking taylor expansion of 0 in K
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
7.338 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
7.338 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
7.338 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
7.338 * [taylor]: Taking taylor expansion of -2 in K
7.339 * [backup-simplify]: Simplify -2 into -2
7.339 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
7.339 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.339 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.339 * [taylor]: Taking taylor expansion of -1/2 in K
7.339 * [backup-simplify]: Simplify -1/2 into -1/2
7.339 * [taylor]: Taking taylor expansion of K in K
7.339 * [backup-simplify]: Simplify 0 into 0
7.339 * [backup-simplify]: Simplify 1 into 1
7.339 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.339 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.339 * [taylor]: Taking taylor expansion of J in K
7.339 * [backup-simplify]: Simplify J into J
7.339 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.340 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
7.340 * [taylor]: Taking taylor expansion of -2 in J
7.340 * [backup-simplify]: Simplify -2 into -2
7.340 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.340 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.340 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.340 * [taylor]: Taking taylor expansion of -1/2 in J
7.340 * [backup-simplify]: Simplify -1/2 into -1/2
7.340 * [taylor]: Taking taylor expansion of K in J
7.340 * [backup-simplify]: Simplify K into K
7.340 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.340 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.340 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.340 * [taylor]: Taking taylor expansion of J in J
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 1 into 1
7.340 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.340 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.341 * [backup-simplify]: Simplify (- 0) into 0
7.341 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.341 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.341 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
7.341 * [taylor]: Taking taylor expansion of -2 in J
7.341 * [backup-simplify]: Simplify -2 into -2
7.341 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.341 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.341 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.341 * [taylor]: Taking taylor expansion of -1/2 in J
7.341 * [backup-simplify]: Simplify -1/2 into -1/2
7.341 * [taylor]: Taking taylor expansion of K in J
7.341 * [backup-simplify]: Simplify K into K
7.341 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.341 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.341 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.342 * [taylor]: Taking taylor expansion of J in J
7.342 * [backup-simplify]: Simplify 0 into 0
7.342 * [backup-simplify]: Simplify 1 into 1
7.342 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.342 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.342 * [backup-simplify]: Simplify (- 0) into 0
7.342 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.342 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.343 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
7.343 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
7.343 * [taylor]: Taking taylor expansion of -2 in K
7.343 * [backup-simplify]: Simplify -2 into -2
7.343 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.343 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.343 * [taylor]: Taking taylor expansion of -1/2 in K
7.343 * [backup-simplify]: Simplify -1/2 into -1/2
7.343 * [taylor]: Taking taylor expansion of K in K
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.343 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.344 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
7.344 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
7.344 * [backup-simplify]: Simplify (+ 0) into 0
7.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.346 * [backup-simplify]: Simplify (- 0) into 0
7.347 * [backup-simplify]: Simplify (+ 0 0) into 0
7.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
7.348 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
7.348 * [taylor]: Taking taylor expansion of 0 in K
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
7.349 * [backup-simplify]: Simplify 0 into 0
7.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.353 * [backup-simplify]: Simplify (- 0) into 0
7.353 * [backup-simplify]: Simplify (+ 0 0) into 0
7.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.356 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.356 * [taylor]: Taking taylor expansion of 0 in K
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.357 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.357 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.362 * [backup-simplify]: Simplify (- 0) into 0
7.362 * [backup-simplify]: Simplify (+ 0 0) into 0
7.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.366 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.366 * [taylor]: Taking taylor expansion of 0 in K
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
7.366 * * * [progress]: simplifying candidates
7.366 * * * * [progress]: [ 1 / 139 ] 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)))>
7.367 * * * * [progress]: [ 2 / 139 ] 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)))>
7.367 * * * * [progress]: [ 3 / 139 ] 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)))>
7.367 * * * * [progress]: [ 4 / 139 ] 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)))>
7.367 * * * * [progress]: [ 5 / 139 ] 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)))>
7.367 * * * * [progress]: [ 6 / 139 ] 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)))>
7.367 * * * * [progress]: [ 7 / 139 ] 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)))>
7.367 * * * * [progress]: [ 8 / 139 ] 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)))>
7.367 * * * * [progress]: [ 9 / 139 ] 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)))>
7.367 * * * * [progress]: [ 10 / 139 ] 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)))>
7.367 * * * * [progress]: [ 11 / 139 ] 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)))>
7.367 * * * * [progress]: [ 12 / 139 ] 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)))>
7.368 * * * * [progress]: [ 13 / 139 ] 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)))>
7.368 * * * * [progress]: [ 14 / 139 ] 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)))>
7.368 * * * * [progress]: [ 15 / 139 ] 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)))>
7.368 * * * * [progress]: [ 16 / 139 ] 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))>
7.368 * * * * [progress]: [ 17 / 139 ] 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))>
7.369 * * * * [progress]: [ 18 / 139 ] 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))>
7.369 * * * * [progress]: [ 19 / 139 ] 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))>
7.369 * * * * [progress]: [ 20 / 139 ] 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))>
7.369 * * * * [progress]: [ 21 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 22 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 23 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 24 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 25 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 26 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 27 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 28 / 139 ] 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)))))>
7.369 * * * * [progress]: [ 29 / 139 ] 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)))))>
7.370 * * * * [progress]: [ 30 / 139 ] 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)))))>
7.370 * * * * [progress]: [ 31 / 139 ] 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)))))>
7.370 * * * * [progress]: [ 32 / 139 ] 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)))))>
7.370 * * * * [progress]: [ 33 / 139 ] 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)))))>
7.370 * * * * [progress]: [ 34 / 139 ] 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))))>
7.370 * * * * [progress]: [ 35 / 139 ] 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))>
7.370 * * * * [progress]: [ 36 / 139 ] 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))))>
7.370 * * * * [progress]: [ 37 / 139 ] 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))))))>
7.370 * * * * [progress]: [ 38 / 139 ] 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))))>
7.370 * * * * [progress]: [ 39 / 139 ] 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)))))>
7.370 * * * * [progress]: [ 40 / 139 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (cos (/ K 2))) (* -2 J)))>
7.370 * * * * [progress]: [ 41 / 139 ] 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)))>
7.371 * * * * [progress]: [ 42 / 139 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (cos (/ K 2))) (* -2 J)))>
7.371 * * * * [progress]: [ 43 / 139 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (cos (/ K 2))) (* -2 J)))>
7.371 * * * * [progress]: [ 44 / 139 ] 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)))>
7.371 * * * * [progress]: [ 45 / 139 ] 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)))>
7.371 * * * * [progress]: [ 46 / 139 ] 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)))>
7.371 * * * * [progress]: [ 47 / 139 ] 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)))>
7.371 * * * * [progress]: [ 48 / 139 ] 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)))>
7.371 * * * * [progress]: [ 49 / 139 ] 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)))>
7.371 * * * * [progress]: [ 50 / 139 ] 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)))>
7.371 * * * * [progress]: [ 51 / 139 ] 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)))>
7.371 * * * * [progress]: [ 52 / 139 ] 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)))>
7.371 * * * * [progress]: [ 53 / 139 ] 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)))>
7.371 * * * * [progress]: [ 54 / 139 ] 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)))>
7.372 * * * * [progress]: [ 55 / 139 ] 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)))>
7.372 * * * * [progress]: [ 56 / 139 ] 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)))>
7.372 * * * * [progress]: [ 57 / 139 ] 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)))>
7.372 * * * * [progress]: [ 58 / 139 ] 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)))>
7.372 * * * * [progress]: [ 59 / 139 ] 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)))>
7.372 * * * * [progress]: [ 60 / 139 ] 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)))>
7.372 * * * * [progress]: [ 61 / 139 ] 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)))>
7.372 * * * * [progress]: [ 62 / 139 ] 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)))>
7.372 * * * * [progress]: [ 63 / 139 ] 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)))>
7.372 * * * * [progress]: [ 64 / 139 ] 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)))>
7.372 * * * * [progress]: [ 65 / 139 ] 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)))>
7.372 * * * * [progress]: [ 66 / 139 ] 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)))>
7.373 * * * * [progress]: [ 67 / 139 ] 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)))>
7.373 * * * * [progress]: [ 68 / 139 ] 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)))>
7.373 * * * * [progress]: [ 69 / 139 ] 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)))>
7.373 * * * * [progress]: [ 70 / 139 ] 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)))>
7.373 * * * * [progress]: [ 71 / 139 ] 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)))>
7.373 * * * * [progress]: [ 72 / 139 ] 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)))>
7.373 * * * * [progress]: [ 73 / 139 ] 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)))>
7.373 * * * * [progress]: [ 74 / 139 ] 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)))>
7.373 * * * * [progress]: [ 75 / 139 ] 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)))>
7.373 * * * * [progress]: [ 76 / 139 ] 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)))>
7.373 * * * * [progress]: [ 77 / 139 ] 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)))>
7.374 * * * * [progress]: [ 78 / 139 ] 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)))>
7.374 * * * * [progress]: [ 79 / 139 ] 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)))>
7.374 * * * * [progress]: [ 80 / 139 ] 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)))>
7.374 * * * * [progress]: [ 81 / 139 ] 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)))>
7.374 * * * * [progress]: [ 82 / 139 ] 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)))>
7.374 * * * * [progress]: [ 83 / 139 ] 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)))>
7.374 * * * * [progress]: [ 84 / 139 ] 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)))>
7.374 * * * * [progress]: [ 85 / 139 ] 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)))>
7.374 * * * * [progress]: [ 86 / 139 ] 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)))>
7.374 * * * * [progress]: [ 87 / 139 ] 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)))>
7.374 * * * * [progress]: [ 88 / 139 ] 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)))>
7.375 * * * * [progress]: [ 89 / 139 ] 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)))>
7.375 * * * * [progress]: [ 90 / 139 ] 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)))>
7.375 * * * * [progress]: [ 91 / 139 ] 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)))>
7.375 * * * * [progress]: [ 92 / 139 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (* 2 1)) 1)) (cos (/ K 2))) (* -2 J)))>
7.375 * * * * [progress]: [ 93 / 139 ] 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)))>
7.375 * * * * [progress]: [ 94 / 139 ] 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)))>
7.375 * * * * [progress]: [ 95 / 139 ] 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)))>
7.375 * * * * [progress]: [ 96 / 139 ] 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)))>
7.375 * * * * [progress]: [ 97 / 139 ] 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)))>
7.375 * * * * [progress]: [ 98 / 139 ] 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)))>
7.375 * * * * [progress]: [ 99 / 139 ] 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)))>
7.375 * * * * [progress]: [ 100 / 139 ] 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)))>
7.375 * * * * [progress]: [ 101 / 139 ] 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)))>
7.376 * * * * [progress]: [ 102 / 139 ] 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)))>
7.376 * * * * [progress]: [ 103 / 139 ] 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)))>
7.376 * * * * [progress]: [ 104 / 139 ] 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)))>
7.376 * * * * [progress]: [ 105 / 139 ] 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)))>
7.376 * * * * [progress]: [ 106 / 139 ] 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)))>
7.376 * * * * [progress]: [ 107 / 139 ] 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)))>
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7.376 * * * * [progress]: [ 109 / 139 ] 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)))>
7.376 * * * * [progress]: [ 110 / 139 ] 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)))>
7.376 * * * * [progress]: [ 111 / 139 ] 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)))>
7.377 * * * * [progress]: [ 112 / 139 ] 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)))>
7.377 * * * * [progress]: [ 113 / 139 ] 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)))>
7.377 * * * * [progress]: [ 114 / 139 ] 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)))>
7.377 * * * * [progress]: [ 115 / 139 ] 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)))>
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7.377 * * * * [progress]: [ 117 / 139 ] 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)))>
7.377 * * * * [progress]: [ 118 / 139 ] 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)))>
7.377 * * * * [progress]: [ 119 / 139 ] 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)))>
7.377 * * * * [progress]: [ 120 / 139 ] 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)))>
7.377 * * * * [progress]: [ 121 / 139 ] 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)))>
7.377 * * * * [progress]: [ 122 / 139 ] 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)))>
7.377 * * * * [progress]: [ 123 / 139 ] 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)))>
7.377 * * * * [progress]: [ 124 / 139 ] 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)))>
7.378 * * * * [progress]: [ 125 / 139 ] 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)))>
7.378 * * * * [progress]: [ 126 / 139 ] 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)))>
7.378 * * * * [progress]: [ 127 / 139 ] 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)))>
7.378 * * * * [progress]: [ 128 / 139 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (cos (/ K 2))) (* -2 J)))>
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7.378 * * * * [progress]: [ 131 / 139 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
7.378 * * * * [progress]: [ 132 / 139 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
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7.378 * * * * [progress]: [ 134 / 139 ] 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)))>
7.378 * * * * [progress]: [ 135 / 139 ] 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)))>
7.378 * * * * [progress]: [ 136 / 139 ] 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)))>
7.378 * * * * [progress]: [ 137 / 139 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 J))) 1)) (cos (/ K 2))) (* -2 J)))>
7.378 * * * * [progress]: [ 138 / 139 ] 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)))>
7.378 * * * * [progress]: [ 139 / 139 ] 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)))>
7.386 * [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)))
  (* (* (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))
  (+ 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)))
  (* (/ U (* (* J 2) (cos (/ K 2)))) 1)
  (* (/ 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)))))
  (* (* 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)))
  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))
7.394 * * [simplify]: iteration 1: (227 enodes)
7.478 * * [simplify]: iteration 2: (662 enodes)
8.088 * * [simplify]: Extracting #0: cost 79 inf + 0
8.090 * * [simplify]: Extracting #1: cost 692 inf + 3
8.097 * * [simplify]: Extracting #2: cost 1000 inf + 4977
8.111 * * [simplify]: Extracting #3: cost 829 inf + 32047
8.127 * * [simplify]: Extracting #4: cost 789 inf + 39120
8.150 * * [simplify]: Extracting #5: cost 619 inf + 76998
8.196 * * [simplify]: Extracting #6: cost 254 inf + 210844
8.273 * * [simplify]: Extracting #7: cost 81 inf + 286183
8.363 * * [simplify]: Extracting #8: cost 5 inf + 327343
8.467 * * [simplify]: Extracting #9: cost 0 inf + 330223
8.588 * [simplify]: Simplified to:
  (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)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (fabs (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)))
  1
  (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (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))))) (* (/ (/ (/ 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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ 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))
  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)))
  (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2)))))
  (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2)))))
  (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2)))))
  (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2)))))
  (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (exp (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))
  (* (* (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) (* J (* 4 J))))))
  (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))
  (* (* (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) (* J (* 4 J))))))
  (* (cbrt (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2)))))) (cbrt (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2)))))))
  (cbrt (* (sqrt (+ (* (/ (/ (/ 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)))) 1) (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2)))))) (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (sqrt (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (sqrt (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* J (* -2 (cos (/ K 2))))))
  (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* -2 (cos (/ K 2))))
  (* J (* -2 (cos (/ K 2))))
  (* (* (cos (/ K 2)) (* (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))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 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))))))) (* J (* -2 (cos (/ K 2)))))
  2
  (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))
  2
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (* (log (/ (/ (/ U J) 2) (cos (/ K 2)))) 2)
  (exp (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))
  (* (/ (/ (/ (* (* U U) U) (* (* J J) (* 8 J))) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (/ (/ (/ (* (* U U) U) (* (* J J) (* 8 J))) (* (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 J) (* 8 J))) (* (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 J) (* 8 J))) (* (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 J) (* 8 J))) (* (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 J) (* 8 J))) (* (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 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))) (/ (/ (/ 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))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ (* (* U U) U) (* (* J J) (* 8 J))) (* (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 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))) (/ (/ (/ 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))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ (* (* U U) U) (* (* J J) (* 8 J))) (* (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 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))) (/ (/ (/ 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)))))
  (* (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)))))
  (fabs (/ (/ (/ U J) 2) (cos (/ K 2))))
  (fabs (/ (/ (/ U J) 2) (cos (/ K 2))))
  (* U U)
  (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 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)))))
  (/ (/ (/ U J) 2) (cos (/ K 2)))
  (/ (/ (/ U J) 2) (cos (/ K 2)))
  (* (* (/ (cbrt U) 2) (/ (cbrt U) J)) (* (/ (cbrt U) 2) (/ (cbrt U) 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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))
  (* U U)
  (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))))
  (/ (/ (/ U J) 2) (cos (/ K 2)))
  (/ (/ (/ U J) 2) (cos (/ K 2)))
  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))) (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
  (/ (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (* 2 J) (* (cbrt U) (cbrt U))))
  (/ (/ (* (/ (sqrt U) (* 2 J)) U) (cos (/ K 2))) (* 2 J))
  (* (/ U (cos (/ K 2))) (* (/ 1/2 J) (/ 1/2 J)))
  (/ (/ (/ U J) 2) (cos (/ K 2)))
  (/ (* U (/ (/ 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))) (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))))
  (/ (cbrt U) (/ (cos (/ K 2)) (/ (/ (/ U J) 2) (cos (/ K 2)))))
  (* (/ (/ (sqrt U) (cos (/ K 2))) J) (/ U (* (cos (/ K 2)) 2)))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2))))
  (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))
  (/ (* (/ U (cos (/ K 2))) (* (/ 1/2 J) (/ 1/2 J))) (cos (/ K 2)))
  (/ (* U (/ (/ U J) 2)) (cos (/ K 2)))
  (/ (* U (/ (/ U J) 2)) (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)))
  (* (* (* (* J J) (* 8 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)))
  (* J (* (* 2 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))
  (* 2 (* J (sqrt (cos (/ K 2)))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  1
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))
  (+ (* (/ (* U U) J) -1/4) (* -2 J))
  (- U)
  (- U)
  (+ (* 1/16 (/ (* K K) (* (/ J U) (/ J U)))) (* 1/4 (* (/ U J) (/ U J))))
  (/ (* (* U U) 1/4) (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)))
  (/ (* (* U U) 1/4) (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)))
  (* 2 J)
  (* J (* (cos (* 1/2 K)) 2))
  (* J (* (cos (* 1/2 K)) 2))
8.616 * * * [progress]: adding candidates to table
10.422 * * [progress]: iteration 3 / 4
10.422 * * * [progress]: picking best candidate
10.446 * * * * [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))))))>
10.446 * * * [progress]: localizing error
10.497 * * * [progress]: generating rewritten candidates
10.497 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
10.663 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
10.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
11.027 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
11.331 * * * [progress]: generating series expansions
11.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
11.332 * [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))
11.332 * [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
11.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.332 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.332 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.332 * [taylor]: Taking taylor expansion of 1/4 in K
11.332 * [backup-simplify]: Simplify 1/4 into 1/4
11.332 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.332 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.332 * [taylor]: Taking taylor expansion of U in K
11.332 * [backup-simplify]: Simplify U into U
11.332 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.332 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.332 * [taylor]: Taking taylor expansion of 1/2 in K
11.332 * [backup-simplify]: Simplify 1/2 into 1/2
11.332 * [taylor]: Taking taylor expansion of K in K
11.332 * [backup-simplify]: Simplify 0 into 0
11.332 * [backup-simplify]: Simplify 1 into 1
11.333 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.333 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.333 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.333 * [taylor]: Taking taylor expansion of J in K
11.333 * [backup-simplify]: Simplify J into J
11.333 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.334 * [backup-simplify]: Simplify (* 1 1) into 1
11.334 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.334 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.334 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.334 * [taylor]: Taking taylor expansion of 1 in K
11.334 * [backup-simplify]: Simplify 1 into 1
11.334 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.334 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.334 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.334 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.334 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.335 * [backup-simplify]: Simplify (+ 0) into 0
11.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.336 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.336 * [backup-simplify]: Simplify (+ 0 0) into 0
11.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.336 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.336 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.336 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.336 * [taylor]: Taking taylor expansion of 1/4 in J
11.336 * [backup-simplify]: Simplify 1/4 into 1/4
11.336 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.337 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.337 * [taylor]: Taking taylor expansion of U in J
11.337 * [backup-simplify]: Simplify U into U
11.337 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.337 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.337 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.337 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.337 * [taylor]: Taking taylor expansion of 1/2 in J
11.337 * [backup-simplify]: Simplify 1/2 into 1/2
11.337 * [taylor]: Taking taylor expansion of K in J
11.337 * [backup-simplify]: Simplify K into K
11.337 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.337 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.337 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.337 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.337 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.337 * [backup-simplify]: Simplify (- 0) into 0
11.337 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.337 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.337 * [taylor]: Taking taylor expansion of J in J
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify 1 into 1
11.337 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.337 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.338 * [backup-simplify]: Simplify (* 1 1) into 1
11.338 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.338 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.338 * [taylor]: Taking taylor expansion of 1 in J
11.338 * [backup-simplify]: Simplify 1 into 1
11.338 * [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)))
11.338 * [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)))
11.338 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.338 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.339 * [backup-simplify]: Simplify (+ 0) into 0
11.339 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.340 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.341 * [backup-simplify]: Simplify (- 0) into 0
11.341 * [backup-simplify]: Simplify (+ 0 0) into 0
11.341 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.341 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.342 * [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
11.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.342 * [backup-simplify]: Simplify (+ 0 0) into 0
11.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.342 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.342 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.342 * [taylor]: Taking taylor expansion of 1/4 in U
11.342 * [backup-simplify]: Simplify 1/4 into 1/4
11.342 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.342 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.343 * [taylor]: Taking taylor expansion of U in U
11.343 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify 1 into 1
11.343 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.343 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.343 * [taylor]: Taking taylor expansion of 1/2 in U
11.343 * [backup-simplify]: Simplify 1/2 into 1/2
11.343 * [taylor]: Taking taylor expansion of K in U
11.343 * [backup-simplify]: Simplify K into K
11.343 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.343 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.343 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.343 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.343 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.343 * [backup-simplify]: Simplify (- 0) into 0
11.343 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.343 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.343 * [taylor]: Taking taylor expansion of J in U
11.343 * [backup-simplify]: Simplify J into J
11.343 * [backup-simplify]: Simplify (* 1 1) into 1
11.344 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.344 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.344 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.344 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.344 * [taylor]: Taking taylor expansion of 1 in U
11.344 * [backup-simplify]: Simplify 1 into 1
11.344 * [backup-simplify]: Simplify (+ 0 1) into 1
11.344 * [backup-simplify]: Simplify (sqrt 1) into 1
11.345 * [backup-simplify]: Simplify (+ 0 0) into 0
11.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.346 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.346 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.346 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.346 * [taylor]: Taking taylor expansion of 1/4 in U
11.346 * [backup-simplify]: Simplify 1/4 into 1/4
11.346 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.346 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.346 * [taylor]: Taking taylor expansion of U in U
11.346 * [backup-simplify]: Simplify 0 into 0
11.346 * [backup-simplify]: Simplify 1 into 1
11.346 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.346 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.346 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.346 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.346 * [taylor]: Taking taylor expansion of 1/2 in U
11.346 * [backup-simplify]: Simplify 1/2 into 1/2
11.346 * [taylor]: Taking taylor expansion of K in U
11.346 * [backup-simplify]: Simplify K into K
11.346 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.346 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.346 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.346 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.346 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.346 * [backup-simplify]: Simplify (- 0) into 0
11.346 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.346 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.346 * [taylor]: Taking taylor expansion of J in U
11.346 * [backup-simplify]: Simplify J into J
11.347 * [backup-simplify]: Simplify (* 1 1) into 1
11.347 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.347 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.347 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.347 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.347 * [taylor]: Taking taylor expansion of 1 in U
11.347 * [backup-simplify]: Simplify 1 into 1
11.347 * [backup-simplify]: Simplify (+ 0 1) into 1
11.348 * [backup-simplify]: Simplify (sqrt 1) into 1
11.348 * [backup-simplify]: Simplify (+ 0 0) into 0
11.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.348 * [taylor]: Taking taylor expansion of 1 in J
11.348 * [backup-simplify]: Simplify 1 into 1
11.349 * [taylor]: Taking taylor expansion of 0 in J
11.349 * [backup-simplify]: Simplify 0 into 0
11.349 * [taylor]: Taking taylor expansion of 1 in K
11.349 * [backup-simplify]: Simplify 1 into 1
11.349 * [backup-simplify]: Simplify 1 into 1
11.349 * [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)))
11.349 * [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))))
11.351 * [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)))
11.351 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.351 * [taylor]: Taking taylor expansion of 1/8 in J
11.351 * [backup-simplify]: Simplify 1/8 into 1/8
11.351 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.351 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.351 * [taylor]: Taking taylor expansion of 1/2 in J
11.351 * [backup-simplify]: Simplify 1/2 into 1/2
11.351 * [taylor]: Taking taylor expansion of K in J
11.351 * [backup-simplify]: Simplify K into K
11.351 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.351 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.351 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.351 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.351 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.352 * [backup-simplify]: Simplify (- 0) into 0
11.352 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.352 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.352 * [taylor]: Taking taylor expansion of J in J
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify 1 into 1
11.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.352 * [backup-simplify]: Simplify (* 1 1) into 1
11.352 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.353 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
11.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.354 * [backup-simplify]: Simplify (+ 0) into 0
11.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.356 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.356 * [backup-simplify]: Simplify (- 0) into 0
11.356 * [backup-simplify]: Simplify (+ 0 0) into 0
11.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.357 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.357 * [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
11.357 * [taylor]: Taking taylor expansion of 0 in K
11.357 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [taylor]: Taking taylor expansion of 0 in K
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [taylor]: Taking taylor expansion of 0 in K
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.359 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.359 * [backup-simplify]: Simplify (+ 0) into 0
11.359 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.361 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.362 * [backup-simplify]: Simplify (- 0) into 0
11.362 * [backup-simplify]: Simplify (+ 0 0) into 0
11.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.362 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.363 * [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
11.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.364 * [backup-simplify]: Simplify (+ 0 0) into 0
11.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.365 * [taylor]: Taking taylor expansion of 0 in J
11.365 * [backup-simplify]: Simplify 0 into 0
11.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.367 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.369 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.370 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.370 * [backup-simplify]: Simplify (- 0) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.372 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.372 * [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
11.372 * [taylor]: Taking taylor expansion of 0 in K
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [taylor]: Taking taylor expansion of 0 in K
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 1 into 1
11.373 * [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))
11.373 * [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
11.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.373 * [taylor]: Taking taylor expansion of 1/4 in K
11.373 * [backup-simplify]: Simplify 1/4 into 1/4
11.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.373 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.373 * [taylor]: Taking taylor expansion of J in K
11.373 * [backup-simplify]: Simplify J into J
11.373 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.373 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.373 * [taylor]: Taking taylor expansion of U in K
11.373 * [backup-simplify]: Simplify U into U
11.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.373 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.373 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.374 * [taylor]: Taking taylor expansion of 1/2 in K
11.374 * [backup-simplify]: Simplify 1/2 into 1/2
11.374 * [taylor]: Taking taylor expansion of K in K
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 1 into 1
11.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.374 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.374 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.374 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.374 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.375 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.375 * [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)))
11.375 * [taylor]: Taking taylor expansion of 1 in K
11.375 * [backup-simplify]: Simplify 1 into 1
11.375 * [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))))
11.375 * [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)
11.376 * [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))
11.376 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.376 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.376 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.377 * [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
11.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.378 * [backup-simplify]: Simplify (+ 0 0) into 0
11.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.379 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.379 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.379 * [taylor]: Taking taylor expansion of 1/4 in J
11.379 * [backup-simplify]: Simplify 1/4 into 1/4
11.379 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.379 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.379 * [taylor]: Taking taylor expansion of J in J
11.379 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify 1 into 1
11.379 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.379 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.379 * [taylor]: Taking taylor expansion of U in J
11.379 * [backup-simplify]: Simplify U into U
11.379 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.379 * [taylor]: Taking taylor expansion of 1/2 in J
11.379 * [backup-simplify]: Simplify 1/2 into 1/2
11.379 * [taylor]: Taking taylor expansion of K in J
11.379 * [backup-simplify]: Simplify K into K
11.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.379 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.380 * [backup-simplify]: Simplify (- 0) into 0
11.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.380 * [backup-simplify]: Simplify (* 1 1) into 1
11.380 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.381 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.381 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.381 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.381 * [taylor]: Taking taylor expansion of 1 in J
11.381 * [backup-simplify]: Simplify 1 into 1
11.382 * [backup-simplify]: Simplify (+ 0 1) into 1
11.382 * [backup-simplify]: Simplify (sqrt 1) into 1
11.382 * [backup-simplify]: Simplify (+ 0 0) into 0
11.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.383 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.383 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.383 * [taylor]: Taking taylor expansion of 1/4 in U
11.383 * [backup-simplify]: Simplify 1/4 into 1/4
11.383 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.383 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.383 * [taylor]: Taking taylor expansion of J in U
11.384 * [backup-simplify]: Simplify J into J
11.384 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.384 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.384 * [taylor]: Taking taylor expansion of U in U
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 1 into 1
11.384 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.384 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.384 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.384 * [taylor]: Taking taylor expansion of 1/2 in U
11.384 * [backup-simplify]: Simplify 1/2 into 1/2
11.384 * [taylor]: Taking taylor expansion of K in U
11.384 * [backup-simplify]: Simplify K into K
11.384 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.384 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.384 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.384 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.384 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.385 * [backup-simplify]: Simplify (- 0) into 0
11.385 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.385 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.385 * [backup-simplify]: Simplify (* 1 1) into 1
11.385 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.385 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.386 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.386 * [taylor]: Taking taylor expansion of 1 in U
11.386 * [backup-simplify]: Simplify 1 into 1
11.386 * [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)))
11.386 * [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)))
11.386 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.386 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.387 * [backup-simplify]: Simplify (+ 0) into 0
11.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.389 * [backup-simplify]: Simplify (- 0) into 0
11.390 * [backup-simplify]: Simplify (+ 0 0) into 0
11.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.392 * [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
11.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.393 * [backup-simplify]: Simplify (+ 0 0) into 0
11.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.393 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.393 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.393 * [taylor]: Taking taylor expansion of 1/4 in U
11.393 * [backup-simplify]: Simplify 1/4 into 1/4
11.393 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.393 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.393 * [taylor]: Taking taylor expansion of J in U
11.393 * [backup-simplify]: Simplify J into J
11.393 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.393 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.393 * [taylor]: Taking taylor expansion of U in U
11.393 * [backup-simplify]: Simplify 0 into 0
11.393 * [backup-simplify]: Simplify 1 into 1
11.393 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.393 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.393 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.393 * [taylor]: Taking taylor expansion of 1/2 in U
11.394 * [backup-simplify]: Simplify 1/2 into 1/2
11.394 * [taylor]: Taking taylor expansion of K in U
11.394 * [backup-simplify]: Simplify K into K
11.394 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.394 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.394 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.394 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.394 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.394 * [backup-simplify]: Simplify (- 0) into 0
11.394 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.395 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.395 * [backup-simplify]: Simplify (* 1 1) into 1
11.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.395 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.395 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.395 * [taylor]: Taking taylor expansion of 1 in U
11.395 * [backup-simplify]: Simplify 1 into 1
11.396 * [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)))
11.396 * [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)))
11.396 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.396 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.397 * [backup-simplify]: Simplify (+ 0) into 0
11.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.399 * [backup-simplify]: Simplify (- 0) into 0
11.399 * [backup-simplify]: Simplify (+ 0 0) into 0
11.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.401 * [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
11.402 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.402 * [backup-simplify]: Simplify (+ 0 0) into 0
11.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.402 * [taylor]: Taking taylor expansion of 1/2 in J
11.403 * [backup-simplify]: Simplify 1/2 into 1/2
11.403 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.403 * [taylor]: Taking taylor expansion of J in J
11.403 * [backup-simplify]: Simplify 0 into 0
11.403 * [backup-simplify]: Simplify 1 into 1
11.403 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.403 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.403 * [taylor]: Taking taylor expansion of 1/2 in J
11.403 * [backup-simplify]: Simplify 1/2 into 1/2
11.403 * [taylor]: Taking taylor expansion of K in J
11.403 * [backup-simplify]: Simplify K into K
11.403 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.403 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.403 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.403 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.404 * [backup-simplify]: Simplify (- 0) into 0
11.404 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.404 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.404 * [taylor]: Taking taylor expansion of 0 in J
11.404 * [backup-simplify]: Simplify 0 into 0
11.404 * [taylor]: Taking taylor expansion of 0 in K
11.404 * [backup-simplify]: Simplify 0 into 0
11.404 * [backup-simplify]: Simplify 0 into 0
11.404 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.404 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
11.404 * [taylor]: Taking taylor expansion of 1/2 in K
11.404 * [backup-simplify]: Simplify 1/2 into 1/2
11.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.404 * [taylor]: Taking taylor expansion of 1/2 in K
11.404 * [backup-simplify]: Simplify 1/2 into 1/2
11.404 * [taylor]: Taking taylor expansion of K in K
11.404 * [backup-simplify]: Simplify 0 into 0
11.404 * [backup-simplify]: Simplify 1 into 1
11.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.405 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.405 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.405 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.409 * [backup-simplify]: Simplify (- 0) into 0
11.410 * [backup-simplify]: Simplify (+ 0 0) into 0
11.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.412 * [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
11.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.414 * [backup-simplify]: Simplify (+ 0 1) into 1
11.415 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.415 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.415 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.415 * [taylor]: Taking taylor expansion of 1/2 in J
11.415 * [backup-simplify]: Simplify 1/2 into 1/2
11.415 * [taylor]: Taking taylor expansion of K in J
11.415 * [backup-simplify]: Simplify K into K
11.415 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.415 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.415 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.415 * [taylor]: Taking taylor expansion of J in J
11.415 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 1 into 1
11.415 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.415 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.420 * [backup-simplify]: Simplify (- 0) into 0
11.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.420 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.421 * [backup-simplify]: Simplify (+ 0) into 0
11.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.423 * [backup-simplify]: Simplify (- 0) into 0
11.424 * [backup-simplify]: Simplify (+ 0 0) into 0
11.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.425 * [taylor]: Taking taylor expansion of 0 in K
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [taylor]: Taking taylor expansion of 0 in K
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [backup-simplify]: Simplify (+ 0) into 0
11.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.428 * [backup-simplify]: Simplify (- 0) into 0
11.428 * [backup-simplify]: Simplify (+ 0 0) into 0
11.428 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.429 * [taylor]: Taking taylor expansion of 0 in K
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.429 * [backup-simplify]: Simplify 0 into 0
11.430 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.435 * [backup-simplify]: Simplify (- 0) into 0
11.436 * [backup-simplify]: Simplify (+ 0 0) into 0
11.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
11.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.440 * [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
11.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.441 * [backup-simplify]: Simplify (+ 0 0) into 0
11.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
11.441 * [taylor]: Taking taylor expansion of 0 in J
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [taylor]: Taking taylor expansion of 0 in K
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [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)))
11.442 * [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))))))
11.442 * [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
11.442 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.442 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.442 * [taylor]: Taking taylor expansion of 1 in K
11.442 * [backup-simplify]: Simplify 1 into 1
11.442 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.442 * [taylor]: Taking taylor expansion of 1/4 in K
11.442 * [backup-simplify]: Simplify 1/4 into 1/4
11.442 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.442 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.442 * [taylor]: Taking taylor expansion of J in K
11.442 * [backup-simplify]: Simplify J into J
11.442 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.442 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.443 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.443 * [taylor]: Taking taylor expansion of -1/2 in K
11.443 * [backup-simplify]: Simplify -1/2 into -1/2
11.443 * [taylor]: Taking taylor expansion of K in K
11.443 * [backup-simplify]: Simplify 0 into 0
11.443 * [backup-simplify]: Simplify 1 into 1
11.443 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.443 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.443 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.443 * [taylor]: Taking taylor expansion of U in K
11.443 * [backup-simplify]: Simplify U into U
11.443 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.443 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.443 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.443 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.443 * [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)))
11.444 * [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))))
11.444 * [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)))))
11.444 * [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))))))
11.444 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.444 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.444 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.445 * [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
11.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.445 * [backup-simplify]: Simplify (+ 0 0) into 0
11.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.446 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.446 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.446 * [taylor]: Taking taylor expansion of 1 in J
11.446 * [backup-simplify]: Simplify 1 into 1
11.446 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.446 * [taylor]: Taking taylor expansion of 1/4 in J
11.446 * [backup-simplify]: Simplify 1/4 into 1/4
11.446 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.446 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.446 * [taylor]: Taking taylor expansion of J in J
11.446 * [backup-simplify]: Simplify 0 into 0
11.446 * [backup-simplify]: Simplify 1 into 1
11.446 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.446 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.446 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.446 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.446 * [taylor]: Taking taylor expansion of -1/2 in J
11.446 * [backup-simplify]: Simplify -1/2 into -1/2
11.446 * [taylor]: Taking taylor expansion of K in J
11.446 * [backup-simplify]: Simplify K into K
11.446 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.446 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.446 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.446 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.446 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.446 * [backup-simplify]: Simplify (- 0) into 0
11.447 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.447 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.447 * [taylor]: Taking taylor expansion of U in J
11.447 * [backup-simplify]: Simplify U into U
11.447 * [backup-simplify]: Simplify (* 1 1) into 1
11.447 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.447 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.447 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.447 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.447 * [backup-simplify]: Simplify (+ 1 0) into 1
11.448 * [backup-simplify]: Simplify (sqrt 1) into 1
11.448 * [backup-simplify]: Simplify (+ 0 0) into 0
11.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.448 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.448 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.448 * [taylor]: Taking taylor expansion of 1 in U
11.449 * [backup-simplify]: Simplify 1 into 1
11.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.449 * [taylor]: Taking taylor expansion of 1/4 in U
11.449 * [backup-simplify]: Simplify 1/4 into 1/4
11.449 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.449 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.449 * [taylor]: Taking taylor expansion of J in U
11.449 * [backup-simplify]: Simplify J into J
11.449 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.449 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.449 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.449 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.449 * [taylor]: Taking taylor expansion of -1/2 in U
11.449 * [backup-simplify]: Simplify -1/2 into -1/2
11.449 * [taylor]: Taking taylor expansion of K in U
11.449 * [backup-simplify]: Simplify K into K
11.449 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.449 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.449 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.449 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.449 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.449 * [backup-simplify]: Simplify (- 0) into 0
11.449 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.449 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.449 * [taylor]: Taking taylor expansion of U in U
11.449 * [backup-simplify]: Simplify 0 into 0
11.449 * [backup-simplify]: Simplify 1 into 1
11.449 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.450 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.450 * [backup-simplify]: Simplify (* 1 1) into 1
11.450 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.450 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.450 * [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)))
11.450 * [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)))
11.450 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.450 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.451 * [backup-simplify]: Simplify (+ 0) into 0
11.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.453 * [backup-simplify]: Simplify (- 0) into 0
11.453 * [backup-simplify]: Simplify (+ 0 0) into 0
11.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.453 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.453 * [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
11.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.454 * [backup-simplify]: Simplify (+ 0 0) into 0
11.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.454 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.454 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.454 * [taylor]: Taking taylor expansion of 1 in U
11.454 * [backup-simplify]: Simplify 1 into 1
11.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.454 * [taylor]: Taking taylor expansion of 1/4 in U
11.454 * [backup-simplify]: Simplify 1/4 into 1/4
11.454 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.454 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.454 * [taylor]: Taking taylor expansion of J in U
11.454 * [backup-simplify]: Simplify J into J
11.455 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.455 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.455 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.455 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.455 * [taylor]: Taking taylor expansion of -1/2 in U
11.455 * [backup-simplify]: Simplify -1/2 into -1/2
11.455 * [taylor]: Taking taylor expansion of K in U
11.455 * [backup-simplify]: Simplify K into K
11.455 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.455 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.455 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.455 * [backup-simplify]: Simplify (- 0) into 0
11.455 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.455 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.455 * [taylor]: Taking taylor expansion of U in U
11.455 * [backup-simplify]: Simplify 0 into 0
11.455 * [backup-simplify]: Simplify 1 into 1
11.455 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.456 * [backup-simplify]: Simplify (* 1 1) into 1
11.456 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.456 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.456 * [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)))
11.456 * [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)))
11.456 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.456 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.457 * [backup-simplify]: Simplify (+ 0) into 0
11.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.457 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.458 * [backup-simplify]: Simplify (- 0) into 0
11.459 * [backup-simplify]: Simplify (+ 0 0) into 0
11.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.459 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.459 * [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
11.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.460 * [backup-simplify]: Simplify (+ 0 0) into 0
11.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.460 * [taylor]: Taking taylor expansion of 1/2 in J
11.460 * [backup-simplify]: Simplify 1/2 into 1/2
11.460 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.460 * [taylor]: Taking taylor expansion of J in J
11.460 * [backup-simplify]: Simplify 0 into 0
11.460 * [backup-simplify]: Simplify 1 into 1
11.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.460 * [taylor]: Taking taylor expansion of -1/2 in J
11.460 * [backup-simplify]: Simplify -1/2 into -1/2
11.460 * [taylor]: Taking taylor expansion of K in J
11.460 * [backup-simplify]: Simplify K into K
11.460 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.461 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.461 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.461 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.461 * [backup-simplify]: Simplify (- 0) into 0
11.461 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.461 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.461 * [taylor]: Taking taylor expansion of 0 in J
11.461 * [backup-simplify]: Simplify 0 into 0
11.461 * [taylor]: Taking taylor expansion of 0 in K
11.461 * [backup-simplify]: Simplify 0 into 0
11.461 * [backup-simplify]: Simplify 0 into 0
11.461 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.461 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
11.461 * [taylor]: Taking taylor expansion of 1/2 in K
11.461 * [backup-simplify]: Simplify 1/2 into 1/2
11.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.461 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.461 * [taylor]: Taking taylor expansion of -1/2 in K
11.461 * [backup-simplify]: Simplify -1/2 into -1/2
11.461 * [taylor]: Taking taylor expansion of K in K
11.461 * [backup-simplify]: Simplify 0 into 0
11.461 * [backup-simplify]: Simplify 1 into 1
11.462 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.462 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.462 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.462 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.464 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.465 * [backup-simplify]: Simplify (- 0) into 0
11.465 * [backup-simplify]: Simplify (+ 0 0) into 0
11.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.466 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.466 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
11.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.467 * [backup-simplify]: Simplify (+ 1 0) into 1
11.468 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.468 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.468 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.468 * [taylor]: Taking taylor expansion of -1/2 in J
11.468 * [backup-simplify]: Simplify -1/2 into -1/2
11.468 * [taylor]: Taking taylor expansion of K in J
11.468 * [backup-simplify]: Simplify K into K
11.468 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.468 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.468 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.468 * [taylor]: Taking taylor expansion of J in J
11.468 * [backup-simplify]: Simplify 0 into 0
11.468 * [backup-simplify]: Simplify 1 into 1
11.468 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.468 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.468 * [backup-simplify]: Simplify (- 0) into 0
11.468 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.468 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.469 * [backup-simplify]: Simplify (+ 0) into 0
11.469 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.470 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.470 * [backup-simplify]: Simplify (- 0) into 0
11.471 * [backup-simplify]: Simplify (+ 0 0) into 0
11.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.471 * [taylor]: Taking taylor expansion of 0 in K
11.471 * [backup-simplify]: Simplify 0 into 0
11.471 * [backup-simplify]: Simplify 0 into 0
11.471 * [taylor]: Taking taylor expansion of 0 in K
11.471 * [backup-simplify]: Simplify 0 into 0
11.471 * [backup-simplify]: Simplify 0 into 0
11.472 * [backup-simplify]: Simplify (+ 0) into 0
11.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.472 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.473 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.473 * [backup-simplify]: Simplify (- 0) into 0
11.473 * [backup-simplify]: Simplify (+ 0 0) into 0
11.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.474 * [taylor]: Taking taylor expansion of 0 in K
11.474 * [backup-simplify]: Simplify 0 into 0
11.474 * [backup-simplify]: Simplify 0 into 0
11.474 * [backup-simplify]: Simplify 0 into 0
11.474 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.474 * [backup-simplify]: Simplify 0 into 0
11.475 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.476 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.477 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.478 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.478 * [backup-simplify]: Simplify (- 0) into 0
11.479 * [backup-simplify]: Simplify (+ 0 0) into 0
11.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
11.480 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.480 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
11.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.481 * [backup-simplify]: Simplify (+ 0 0) into 0
11.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
11.481 * [taylor]: Taking taylor expansion of 0 in J
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [taylor]: Taking taylor expansion of 0 in K
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [backup-simplify]: Simplify 0 into 0
11.482 * [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)))
11.482 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
11.482 * [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))
11.482 * [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
11.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.482 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.482 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.482 * [taylor]: Taking taylor expansion of 1/4 in K
11.482 * [backup-simplify]: Simplify 1/4 into 1/4
11.482 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.482 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.482 * [taylor]: Taking taylor expansion of U in K
11.482 * [backup-simplify]: Simplify U into U
11.482 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.482 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.482 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.482 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.482 * [taylor]: Taking taylor expansion of 1/2 in K
11.482 * [backup-simplify]: Simplify 1/2 into 1/2
11.482 * [taylor]: Taking taylor expansion of K in K
11.482 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify 1 into 1
11.483 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.483 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.483 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.483 * [taylor]: Taking taylor expansion of J in K
11.483 * [backup-simplify]: Simplify J into J
11.483 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.483 * [backup-simplify]: Simplify (* 1 1) into 1
11.483 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.483 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.484 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.484 * [taylor]: Taking taylor expansion of 1 in K
11.484 * [backup-simplify]: Simplify 1 into 1
11.484 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.484 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.484 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.484 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.484 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.484 * [backup-simplify]: Simplify (+ 0) into 0
11.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.485 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.486 * [backup-simplify]: Simplify (+ 0 0) into 0
11.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.486 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.486 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.486 * [taylor]: Taking taylor expansion of 1/4 in J
11.486 * [backup-simplify]: Simplify 1/4 into 1/4
11.486 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.486 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.486 * [taylor]: Taking taylor expansion of U in J
11.486 * [backup-simplify]: Simplify U into U
11.486 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.486 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.486 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.486 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.486 * [taylor]: Taking taylor expansion of 1/2 in J
11.486 * [backup-simplify]: Simplify 1/2 into 1/2
11.486 * [taylor]: Taking taylor expansion of K in J
11.486 * [backup-simplify]: Simplify K into K
11.486 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.486 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.486 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.486 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.487 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.487 * [backup-simplify]: Simplify (- 0) into 0
11.487 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.487 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.487 * [taylor]: Taking taylor expansion of J in J
11.487 * [backup-simplify]: Simplify 0 into 0
11.487 * [backup-simplify]: Simplify 1 into 1
11.487 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.487 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.487 * [backup-simplify]: Simplify (* 1 1) into 1
11.487 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.487 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.487 * [taylor]: Taking taylor expansion of 1 in J
11.487 * [backup-simplify]: Simplify 1 into 1
11.488 * [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)))
11.488 * [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)))
11.488 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.488 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.489 * [backup-simplify]: Simplify (+ 0) into 0
11.489 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.490 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.490 * [backup-simplify]: Simplify (- 0) into 0
11.490 * [backup-simplify]: Simplify (+ 0 0) into 0
11.491 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.491 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.491 * [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
11.492 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.492 * [backup-simplify]: Simplify (+ 0 0) into 0
11.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.492 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.492 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.492 * [taylor]: Taking taylor expansion of 1/4 in U
11.492 * [backup-simplify]: Simplify 1/4 into 1/4
11.492 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.492 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.492 * [taylor]: Taking taylor expansion of U in U
11.492 * [backup-simplify]: Simplify 0 into 0
11.492 * [backup-simplify]: Simplify 1 into 1
11.492 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.492 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.492 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.492 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.492 * [taylor]: Taking taylor expansion of 1/2 in U
11.492 * [backup-simplify]: Simplify 1/2 into 1/2
11.492 * [taylor]: Taking taylor expansion of K in U
11.492 * [backup-simplify]: Simplify K into K
11.492 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.492 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.492 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.492 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.492 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.493 * [backup-simplify]: Simplify (- 0) into 0
11.493 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.493 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.493 * [taylor]: Taking taylor expansion of J in U
11.493 * [backup-simplify]: Simplify J into J
11.493 * [backup-simplify]: Simplify (* 1 1) into 1
11.493 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.493 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.493 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.493 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.493 * [taylor]: Taking taylor expansion of 1 in U
11.493 * [backup-simplify]: Simplify 1 into 1
11.494 * [backup-simplify]: Simplify (+ 0 1) into 1
11.494 * [backup-simplify]: Simplify (sqrt 1) into 1
11.494 * [backup-simplify]: Simplify (+ 0 0) into 0
11.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.495 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.495 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.495 * [taylor]: Taking taylor expansion of 1/4 in U
11.495 * [backup-simplify]: Simplify 1/4 into 1/4
11.495 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.495 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.495 * [taylor]: Taking taylor expansion of U in U
11.495 * [backup-simplify]: Simplify 0 into 0
11.495 * [backup-simplify]: Simplify 1 into 1
11.495 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.495 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.495 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.495 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.495 * [taylor]: Taking taylor expansion of 1/2 in U
11.495 * [backup-simplify]: Simplify 1/2 into 1/2
11.495 * [taylor]: Taking taylor expansion of K in U
11.495 * [backup-simplify]: Simplify K into K
11.495 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.495 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.495 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.495 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.495 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.495 * [backup-simplify]: Simplify (- 0) into 0
11.495 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.496 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.496 * [taylor]: Taking taylor expansion of J in U
11.496 * [backup-simplify]: Simplify J into J
11.496 * [backup-simplify]: Simplify (* 1 1) into 1
11.496 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.496 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.496 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.496 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.496 * [taylor]: Taking taylor expansion of 1 in U
11.496 * [backup-simplify]: Simplify 1 into 1
11.497 * [backup-simplify]: Simplify (+ 0 1) into 1
11.497 * [backup-simplify]: Simplify (sqrt 1) into 1
11.497 * [backup-simplify]: Simplify (+ 0 0) into 0
11.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.498 * [taylor]: Taking taylor expansion of 1 in J
11.498 * [backup-simplify]: Simplify 1 into 1
11.498 * [taylor]: Taking taylor expansion of 0 in J
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [taylor]: Taking taylor expansion of 1 in K
11.498 * [backup-simplify]: Simplify 1 into 1
11.498 * [backup-simplify]: Simplify 1 into 1
11.499 * [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)))
11.499 * [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))))
11.500 * [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)))
11.500 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.500 * [taylor]: Taking taylor expansion of 1/8 in J
11.500 * [backup-simplify]: Simplify 1/8 into 1/8
11.500 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.500 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.500 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.500 * [taylor]: Taking taylor expansion of 1/2 in J
11.501 * [backup-simplify]: Simplify 1/2 into 1/2
11.501 * [taylor]: Taking taylor expansion of K in J
11.501 * [backup-simplify]: Simplify K into K
11.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.501 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.501 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.501 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.501 * [backup-simplify]: Simplify (- 0) into 0
11.501 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.502 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.502 * [taylor]: Taking taylor expansion of J in J
11.502 * [backup-simplify]: Simplify 0 into 0
11.502 * [backup-simplify]: Simplify 1 into 1
11.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.502 * [backup-simplify]: Simplify (* 1 1) into 1
11.502 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.503 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
11.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.504 * [backup-simplify]: Simplify (+ 0) into 0
11.504 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.506 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.506 * [backup-simplify]: Simplify (- 0) into 0
11.507 * [backup-simplify]: Simplify (+ 0 0) into 0
11.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.508 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.508 * [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
11.508 * [taylor]: Taking taylor expansion of 0 in K
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [taylor]: Taking taylor expansion of 0 in K
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [taylor]: Taking taylor expansion of 0 in K
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.509 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.510 * [backup-simplify]: Simplify (+ 0) into 0
11.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.512 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.512 * [backup-simplify]: Simplify (- 0) into 0
11.513 * [backup-simplify]: Simplify (+ 0 0) into 0
11.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.513 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.514 * [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
11.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.515 * [backup-simplify]: Simplify (+ 0 0) into 0
11.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.516 * [taylor]: Taking taylor expansion of 0 in J
11.516 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.520 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.520 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.521 * [backup-simplify]: Simplify (- 0) into 0
11.522 * [backup-simplify]: Simplify (+ 0 0) into 0
11.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.523 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.523 * [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
11.523 * [taylor]: Taking taylor expansion of 0 in K
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [taylor]: Taking taylor expansion of 0 in K
11.523 * [backup-simplify]: Simplify 0 into 0
11.524 * [backup-simplify]: Simplify 0 into 0
11.524 * [backup-simplify]: Simplify 1 into 1
11.524 * [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))
11.524 * [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
11.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.524 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.524 * [taylor]: Taking taylor expansion of 1/4 in K
11.524 * [backup-simplify]: Simplify 1/4 into 1/4
11.524 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.524 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.524 * [taylor]: Taking taylor expansion of J in K
11.524 * [backup-simplify]: Simplify J into J
11.524 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.525 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.525 * [taylor]: Taking taylor expansion of U in K
11.525 * [backup-simplify]: Simplify U into U
11.525 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.525 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.525 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.525 * [taylor]: Taking taylor expansion of 1/2 in K
11.525 * [backup-simplify]: Simplify 1/2 into 1/2
11.525 * [taylor]: Taking taylor expansion of K in K
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.525 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.525 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.526 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.526 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.526 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.526 * [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)))
11.526 * [taylor]: Taking taylor expansion of 1 in K
11.526 * [backup-simplify]: Simplify 1 into 1
11.526 * [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))))
11.527 * [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)
11.527 * [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))
11.527 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.527 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.528 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.528 * [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
11.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.529 * [backup-simplify]: Simplify (+ 0 0) into 0
11.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.530 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.530 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.530 * [taylor]: Taking taylor expansion of 1/4 in J
11.530 * [backup-simplify]: Simplify 1/4 into 1/4
11.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.530 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.530 * [taylor]: Taking taylor expansion of J in J
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 1 into 1
11.530 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.530 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.530 * [taylor]: Taking taylor expansion of U in J
11.530 * [backup-simplify]: Simplify U into U
11.530 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.530 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.530 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.530 * [taylor]: Taking taylor expansion of 1/2 in J
11.530 * [backup-simplify]: Simplify 1/2 into 1/2
11.530 * [taylor]: Taking taylor expansion of K in J
11.530 * [backup-simplify]: Simplify K into K
11.531 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.531 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.531 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.531 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.531 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.531 * [backup-simplify]: Simplify (- 0) into 0
11.531 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.532 * [backup-simplify]: Simplify (* 1 1) into 1
11.532 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.532 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.532 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.532 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.532 * [taylor]: Taking taylor expansion of 1 in J
11.533 * [backup-simplify]: Simplify 1 into 1
11.533 * [backup-simplify]: Simplify (+ 0 1) into 1
11.533 * [backup-simplify]: Simplify (sqrt 1) into 1
11.534 * [backup-simplify]: Simplify (+ 0 0) into 0
11.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.535 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.535 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.535 * [taylor]: Taking taylor expansion of 1/4 in U
11.535 * [backup-simplify]: Simplify 1/4 into 1/4
11.535 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.535 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.535 * [taylor]: Taking taylor expansion of J in U
11.535 * [backup-simplify]: Simplify J into J
11.535 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.535 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.535 * [taylor]: Taking taylor expansion of U in U
11.535 * [backup-simplify]: Simplify 0 into 0
11.535 * [backup-simplify]: Simplify 1 into 1
11.535 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.535 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.535 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.535 * [taylor]: Taking taylor expansion of 1/2 in U
11.535 * [backup-simplify]: Simplify 1/2 into 1/2
11.535 * [taylor]: Taking taylor expansion of K in U
11.535 * [backup-simplify]: Simplify K into K
11.535 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.535 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.535 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.536 * [backup-simplify]: Simplify (- 0) into 0
11.536 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.536 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.536 * [backup-simplify]: Simplify (* 1 1) into 1
11.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.537 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.537 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.537 * [taylor]: Taking taylor expansion of 1 in U
11.537 * [backup-simplify]: Simplify 1 into 1
11.537 * [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)))
11.537 * [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)))
11.538 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.538 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.543 * [backup-simplify]: Simplify (+ 0) into 0
11.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.545 * [backup-simplify]: Simplify (- 0) into 0
11.546 * [backup-simplify]: Simplify (+ 0 0) into 0
11.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.548 * [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
11.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.549 * [backup-simplify]: Simplify (+ 0 0) into 0
11.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.549 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.549 * [taylor]: Taking taylor expansion of 1/4 in U
11.549 * [backup-simplify]: Simplify 1/4 into 1/4
11.549 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.549 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.549 * [taylor]: Taking taylor expansion of J in U
11.549 * [backup-simplify]: Simplify J into J
11.549 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.549 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.549 * [taylor]: Taking taylor expansion of U in U
11.549 * [backup-simplify]: Simplify 0 into 0
11.549 * [backup-simplify]: Simplify 1 into 1
11.549 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.549 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.549 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.549 * [taylor]: Taking taylor expansion of 1/2 in U
11.550 * [backup-simplify]: Simplify 1/2 into 1/2
11.550 * [taylor]: Taking taylor expansion of K in U
11.550 * [backup-simplify]: Simplify K into K
11.550 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.550 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.550 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.550 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.550 * [backup-simplify]: Simplify (- 0) into 0
11.550 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.551 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.551 * [backup-simplify]: Simplify (* 1 1) into 1
11.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.551 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.551 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.551 * [taylor]: Taking taylor expansion of 1 in U
11.551 * [backup-simplify]: Simplify 1 into 1
11.552 * [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)))
11.552 * [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)))
11.552 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.552 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.553 * [backup-simplify]: Simplify (+ 0) into 0
11.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.555 * [backup-simplify]: Simplify (- 0) into 0
11.555 * [backup-simplify]: Simplify (+ 0 0) into 0
11.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.557 * [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
11.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.558 * [backup-simplify]: Simplify (+ 0 0) into 0
11.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.559 * [taylor]: Taking taylor expansion of 1/2 in J
11.559 * [backup-simplify]: Simplify 1/2 into 1/2
11.559 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.559 * [taylor]: Taking taylor expansion of J in J
11.559 * [backup-simplify]: Simplify 0 into 0
11.559 * [backup-simplify]: Simplify 1 into 1
11.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.559 * [taylor]: Taking taylor expansion of 1/2 in J
11.559 * [backup-simplify]: Simplify 1/2 into 1/2
11.559 * [taylor]: Taking taylor expansion of K in J
11.559 * [backup-simplify]: Simplify K into K
11.559 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.559 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.559 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.559 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.559 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.560 * [backup-simplify]: Simplify (- 0) into 0
11.560 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.560 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.560 * [taylor]: Taking taylor expansion of 0 in J
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [taylor]: Taking taylor expansion of 0 in K
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.560 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
11.560 * [taylor]: Taking taylor expansion of 1/2 in K
11.560 * [backup-simplify]: Simplify 1/2 into 1/2
11.560 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.560 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.560 * [taylor]: Taking taylor expansion of 1/2 in K
11.560 * [backup-simplify]: Simplify 1/2 into 1/2
11.560 * [taylor]: Taking taylor expansion of K in K
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify 1 into 1
11.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.561 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.561 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.562 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.565 * [backup-simplify]: Simplify (- 0) into 0
11.565 * [backup-simplify]: Simplify (+ 0 0) into 0
11.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.568 * [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
11.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.570 * [backup-simplify]: Simplify (+ 0 1) into 1
11.571 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.571 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.571 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.571 * [taylor]: Taking taylor expansion of 1/2 in J
11.571 * [backup-simplify]: Simplify 1/2 into 1/2
11.571 * [taylor]: Taking taylor expansion of K in J
11.571 * [backup-simplify]: Simplify K into K
11.571 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.571 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.571 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.571 * [taylor]: Taking taylor expansion of J in J
11.571 * [backup-simplify]: Simplify 0 into 0
11.571 * [backup-simplify]: Simplify 1 into 1
11.571 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.571 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.572 * [backup-simplify]: Simplify (- 0) into 0
11.572 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.572 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.572 * [backup-simplify]: Simplify (+ 0) into 0
11.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.575 * [backup-simplify]: Simplify (- 0) into 0
11.575 * [backup-simplify]: Simplify (+ 0 0) into 0
11.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.576 * [taylor]: Taking taylor expansion of 0 in K
11.576 * [backup-simplify]: Simplify 0 into 0
11.576 * [backup-simplify]: Simplify 0 into 0
11.576 * [taylor]: Taking taylor expansion of 0 in K
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify (+ 0) into 0
11.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.579 * [backup-simplify]: Simplify (- 0) into 0
11.580 * [backup-simplify]: Simplify (+ 0 0) into 0
11.580 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.581 * [taylor]: Taking taylor expansion of 0 in K
11.581 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.581 * [backup-simplify]: Simplify 0 into 0
11.582 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.587 * [backup-simplify]: Simplify (- 0) into 0
11.588 * [backup-simplify]: Simplify (+ 0 0) into 0
11.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
11.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.591 * [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
11.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.593 * [backup-simplify]: Simplify (+ 0 0) into 0
11.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
11.593 * [taylor]: Taking taylor expansion of 0 in J
11.593 * [backup-simplify]: Simplify 0 into 0
11.593 * [taylor]: Taking taylor expansion of 0 in K
11.593 * [backup-simplify]: Simplify 0 into 0
11.593 * [backup-simplify]: Simplify 0 into 0
11.594 * [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)))
11.594 * [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))))))
11.594 * [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
11.594 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.594 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.594 * [taylor]: Taking taylor expansion of 1 in K
11.594 * [backup-simplify]: Simplify 1 into 1
11.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.594 * [taylor]: Taking taylor expansion of 1/4 in K
11.595 * [backup-simplify]: Simplify 1/4 into 1/4
11.595 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.595 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.595 * [taylor]: Taking taylor expansion of J in K
11.595 * [backup-simplify]: Simplify J into J
11.595 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.595 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.595 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.595 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.595 * [taylor]: Taking taylor expansion of -1/2 in K
11.595 * [backup-simplify]: Simplify -1/2 into -1/2
11.595 * [taylor]: Taking taylor expansion of K in K
11.595 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify 1 into 1
11.595 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.595 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.595 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.595 * [taylor]: Taking taylor expansion of U in K
11.595 * [backup-simplify]: Simplify U into U
11.596 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.596 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.596 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.596 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.596 * [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)))
11.596 * [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))))
11.597 * [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)))))
11.597 * [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))))))
11.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.597 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.598 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.598 * [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
11.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.599 * [backup-simplify]: Simplify (+ 0 0) into 0
11.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.600 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.600 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.600 * [taylor]: Taking taylor expansion of 1 in J
11.600 * [backup-simplify]: Simplify 1 into 1
11.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.600 * [taylor]: Taking taylor expansion of 1/4 in J
11.600 * [backup-simplify]: Simplify 1/4 into 1/4
11.600 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.600 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.600 * [taylor]: Taking taylor expansion of J in J
11.600 * [backup-simplify]: Simplify 0 into 0
11.600 * [backup-simplify]: Simplify 1 into 1
11.600 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.600 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.600 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.600 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.600 * [taylor]: Taking taylor expansion of -1/2 in J
11.600 * [backup-simplify]: Simplify -1/2 into -1/2
11.600 * [taylor]: Taking taylor expansion of K in J
11.600 * [backup-simplify]: Simplify K into K
11.600 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.600 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.600 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.601 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.601 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.601 * [backup-simplify]: Simplify (- 0) into 0
11.601 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.601 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.601 * [taylor]: Taking taylor expansion of U in J
11.601 * [backup-simplify]: Simplify U into U
11.602 * [backup-simplify]: Simplify (* 1 1) into 1
11.602 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.602 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.602 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.602 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.603 * [backup-simplify]: Simplify (+ 1 0) into 1
11.603 * [backup-simplify]: Simplify (sqrt 1) into 1
11.604 * [backup-simplify]: Simplify (+ 0 0) into 0
11.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.604 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.604 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.604 * [taylor]: Taking taylor expansion of 1 in U
11.604 * [backup-simplify]: Simplify 1 into 1
11.604 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.604 * [taylor]: Taking taylor expansion of 1/4 in U
11.604 * [backup-simplify]: Simplify 1/4 into 1/4
11.605 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.605 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.605 * [taylor]: Taking taylor expansion of J in U
11.605 * [backup-simplify]: Simplify J into J
11.605 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.605 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.605 * [taylor]: Taking taylor expansion of -1/2 in U
11.605 * [backup-simplify]: Simplify -1/2 into -1/2
11.605 * [taylor]: Taking taylor expansion of K in U
11.605 * [backup-simplify]: Simplify K into K
11.605 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.605 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.605 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.605 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.606 * [backup-simplify]: Simplify (- 0) into 0
11.606 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.606 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.606 * [taylor]: Taking taylor expansion of U in U
11.606 * [backup-simplify]: Simplify 0 into 0
11.606 * [backup-simplify]: Simplify 1 into 1
11.606 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.606 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.606 * [backup-simplify]: Simplify (* 1 1) into 1
11.607 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.607 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.607 * [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)))
11.607 * [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)))
11.607 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.608 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.609 * [backup-simplify]: Simplify (+ 0) into 0
11.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.610 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.611 * [backup-simplify]: Simplify (- 0) into 0
11.612 * [backup-simplify]: Simplify (+ 0 0) into 0
11.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.612 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.613 * [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
11.613 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.614 * [backup-simplify]: Simplify (+ 0 0) into 0
11.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.614 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.614 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.614 * [taylor]: Taking taylor expansion of 1 in U
11.614 * [backup-simplify]: Simplify 1 into 1
11.614 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.614 * [taylor]: Taking taylor expansion of 1/4 in U
11.614 * [backup-simplify]: Simplify 1/4 into 1/4
11.614 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.614 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.614 * [taylor]: Taking taylor expansion of J in U
11.614 * [backup-simplify]: Simplify J into J
11.614 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.615 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.615 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.615 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.615 * [taylor]: Taking taylor expansion of -1/2 in U
11.615 * [backup-simplify]: Simplify -1/2 into -1/2
11.615 * [taylor]: Taking taylor expansion of K in U
11.615 * [backup-simplify]: Simplify K into K
11.615 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.615 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.615 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.615 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.615 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.615 * [backup-simplify]: Simplify (- 0) into 0
11.616 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.616 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.616 * [taylor]: Taking taylor expansion of U in U
11.616 * [backup-simplify]: Simplify 0 into 0
11.616 * [backup-simplify]: Simplify 1 into 1
11.616 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.616 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.616 * [backup-simplify]: Simplify (* 1 1) into 1
11.616 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.617 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.617 * [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)))
11.617 * [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)))
11.617 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.618 * [backup-simplify]: Simplify (+ 0) into 0
11.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.620 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.621 * [backup-simplify]: Simplify (- 0) into 0
11.621 * [backup-simplify]: Simplify (+ 0 0) into 0
11.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.622 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.622 * [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
11.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.623 * [backup-simplify]: Simplify (+ 0 0) into 0
11.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.624 * [taylor]: Taking taylor expansion of 1/2 in J
11.624 * [backup-simplify]: Simplify 1/2 into 1/2
11.624 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.624 * [taylor]: Taking taylor expansion of J in J
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 1 into 1
11.624 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.624 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.624 * [taylor]: Taking taylor expansion of -1/2 in J
11.624 * [backup-simplify]: Simplify -1/2 into -1/2
11.624 * [taylor]: Taking taylor expansion of K in J
11.624 * [backup-simplify]: Simplify K into K
11.624 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.624 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.624 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.624 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.625 * [backup-simplify]: Simplify (- 0) into 0
11.625 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.625 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.625 * [taylor]: Taking taylor expansion of 0 in J
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [taylor]: Taking taylor expansion of 0 in K
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.625 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
11.625 * [taylor]: Taking taylor expansion of 1/2 in K
11.626 * [backup-simplify]: Simplify 1/2 into 1/2
11.626 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.626 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.626 * [taylor]: Taking taylor expansion of -1/2 in K
11.626 * [backup-simplify]: Simplify -1/2 into -1/2
11.626 * [taylor]: Taking taylor expansion of K in K
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 1 into 1
11.626 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.626 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.626 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.626 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.627 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.631 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.631 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.632 * [backup-simplify]: Simplify (- 0) into 0
11.632 * [backup-simplify]: Simplify (+ 0 0) into 0
11.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.634 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.634 * [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
11.635 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.636 * [backup-simplify]: Simplify (+ 1 0) into 1
11.637 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.637 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.637 * [taylor]: Taking taylor expansion of -1/2 in J
11.637 * [backup-simplify]: Simplify -1/2 into -1/2
11.637 * [taylor]: Taking taylor expansion of K in J
11.637 * [backup-simplify]: Simplify K into K
11.637 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.637 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.637 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.637 * [taylor]: Taking taylor expansion of J in J
11.637 * [backup-simplify]: Simplify 0 into 0
11.637 * [backup-simplify]: Simplify 1 into 1
11.637 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.637 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.638 * [backup-simplify]: Simplify (- 0) into 0
11.638 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.638 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.638 * [backup-simplify]: Simplify (+ 0) into 0
11.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.640 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.640 * [backup-simplify]: Simplify (- 0) into 0
11.641 * [backup-simplify]: Simplify (+ 0 0) into 0
11.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.642 * [taylor]: Taking taylor expansion of 0 in K
11.642 * [backup-simplify]: Simplify 0 into 0
11.642 * [backup-simplify]: Simplify 0 into 0
11.642 * [taylor]: Taking taylor expansion of 0 in K
11.642 * [backup-simplify]: Simplify 0 into 0
11.642 * [backup-simplify]: Simplify 0 into 0
11.642 * [backup-simplify]: Simplify (+ 0) into 0
11.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.644 * [backup-simplify]: Simplify (- 0) into 0
11.645 * [backup-simplify]: Simplify (+ 0 0) into 0
11.645 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.646 * [taylor]: Taking taylor expansion of 0 in K
11.646 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.646 * [backup-simplify]: Simplify 0 into 0
11.647 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.648 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.652 * [backup-simplify]: Simplify (- 0) into 0
11.653 * [backup-simplify]: Simplify (+ 0 0) into 0
11.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
11.654 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.655 * [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
11.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.657 * [backup-simplify]: Simplify (+ 0 0) into 0
11.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
11.657 * [taylor]: Taking taylor expansion of 0 in J
11.657 * [backup-simplify]: Simplify 0 into 0
11.657 * [taylor]: Taking taylor expansion of 0 in K
11.657 * [backup-simplify]: Simplify 0 into 0
11.657 * [backup-simplify]: Simplify 0 into 0
11.657 * [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)))
11.658 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
11.658 * [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))
11.658 * [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
11.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.658 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.658 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.658 * [taylor]: Taking taylor expansion of 1/4 in K
11.658 * [backup-simplify]: Simplify 1/4 into 1/4
11.658 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.658 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.658 * [taylor]: Taking taylor expansion of U in K
11.658 * [backup-simplify]: Simplify U into U
11.658 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.658 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.658 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.658 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.659 * [taylor]: Taking taylor expansion of 1/2 in K
11.659 * [backup-simplify]: Simplify 1/2 into 1/2
11.659 * [taylor]: Taking taylor expansion of K in K
11.659 * [backup-simplify]: Simplify 0 into 0
11.659 * [backup-simplify]: Simplify 1 into 1
11.659 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.660 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.660 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.660 * [taylor]: Taking taylor expansion of J in K
11.660 * [backup-simplify]: Simplify J into J
11.660 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.660 * [backup-simplify]: Simplify (* 1 1) into 1
11.660 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.661 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.661 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.661 * [taylor]: Taking taylor expansion of 1 in K
11.661 * [backup-simplify]: Simplify 1 into 1
11.661 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.661 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.661 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.661 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.661 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.662 * [backup-simplify]: Simplify (+ 0) into 0
11.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.663 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.664 * [backup-simplify]: Simplify (+ 0 0) into 0
11.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.665 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.665 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.665 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.665 * [taylor]: Taking taylor expansion of 1/4 in J
11.665 * [backup-simplify]: Simplify 1/4 into 1/4
11.665 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.665 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.665 * [taylor]: Taking taylor expansion of U in J
11.665 * [backup-simplify]: Simplify U into U
11.665 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.665 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.665 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.665 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.665 * [taylor]: Taking taylor expansion of 1/2 in J
11.665 * [backup-simplify]: Simplify 1/2 into 1/2
11.665 * [taylor]: Taking taylor expansion of K in J
11.665 * [backup-simplify]: Simplify K into K
11.665 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.665 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.665 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.665 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.665 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.666 * [backup-simplify]: Simplify (- 0) into 0
11.666 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.666 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.666 * [taylor]: Taking taylor expansion of J in J
11.666 * [backup-simplify]: Simplify 0 into 0
11.666 * [backup-simplify]: Simplify 1 into 1
11.666 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.666 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.667 * [backup-simplify]: Simplify (* 1 1) into 1
11.667 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.667 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.667 * [taylor]: Taking taylor expansion of 1 in J
11.667 * [backup-simplify]: Simplify 1 into 1
11.667 * [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)))
11.667 * [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)))
11.668 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.668 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.669 * [backup-simplify]: Simplify (+ 0) into 0
11.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.671 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.672 * [backup-simplify]: Simplify (- 0) into 0
11.672 * [backup-simplify]: Simplify (+ 0 0) into 0
11.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.673 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.673 * [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
11.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.674 * [backup-simplify]: Simplify (+ 0 0) into 0
11.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.675 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.675 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.675 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.675 * [taylor]: Taking taylor expansion of 1/4 in U
11.675 * [backup-simplify]: Simplify 1/4 into 1/4
11.675 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.675 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.675 * [taylor]: Taking taylor expansion of U in U
11.675 * [backup-simplify]: Simplify 0 into 0
11.675 * [backup-simplify]: Simplify 1 into 1
11.675 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.675 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.675 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.675 * [taylor]: Taking taylor expansion of 1/2 in U
11.675 * [backup-simplify]: Simplify 1/2 into 1/2
11.675 * [taylor]: Taking taylor expansion of K in U
11.675 * [backup-simplify]: Simplify K into K
11.675 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.675 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.675 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.675 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.676 * [backup-simplify]: Simplify (- 0) into 0
11.676 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.676 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.676 * [taylor]: Taking taylor expansion of J in U
11.676 * [backup-simplify]: Simplify J into J
11.676 * [backup-simplify]: Simplify (* 1 1) into 1
11.677 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.677 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.677 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.677 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.677 * [taylor]: Taking taylor expansion of 1 in U
11.677 * [backup-simplify]: Simplify 1 into 1
11.678 * [backup-simplify]: Simplify (+ 0 1) into 1
11.678 * [backup-simplify]: Simplify (sqrt 1) into 1
11.678 * [backup-simplify]: Simplify (+ 0 0) into 0
11.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.679 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.679 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.679 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.679 * [taylor]: Taking taylor expansion of 1/4 in U
11.679 * [backup-simplify]: Simplify 1/4 into 1/4
11.679 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.679 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.679 * [taylor]: Taking taylor expansion of U in U
11.679 * [backup-simplify]: Simplify 0 into 0
11.679 * [backup-simplify]: Simplify 1 into 1
11.679 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.679 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.679 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.680 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.680 * [taylor]: Taking taylor expansion of 1/2 in U
11.680 * [backup-simplify]: Simplify 1/2 into 1/2
11.680 * [taylor]: Taking taylor expansion of K in U
11.680 * [backup-simplify]: Simplify K into K
11.680 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.680 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.680 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.680 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.680 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.680 * [backup-simplify]: Simplify (- 0) into 0
11.681 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.681 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.681 * [taylor]: Taking taylor expansion of J in U
11.681 * [backup-simplify]: Simplify J into J
11.681 * [backup-simplify]: Simplify (* 1 1) into 1
11.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.681 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.681 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.682 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.682 * [taylor]: Taking taylor expansion of 1 in U
11.682 * [backup-simplify]: Simplify 1 into 1
11.682 * [backup-simplify]: Simplify (+ 0 1) into 1
11.683 * [backup-simplify]: Simplify (sqrt 1) into 1
11.683 * [backup-simplify]: Simplify (+ 0 0) into 0
11.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.684 * [taylor]: Taking taylor expansion of 1 in J
11.684 * [backup-simplify]: Simplify 1 into 1
11.684 * [taylor]: Taking taylor expansion of 0 in J
11.684 * [backup-simplify]: Simplify 0 into 0
11.684 * [taylor]: Taking taylor expansion of 1 in K
11.684 * [backup-simplify]: Simplify 1 into 1
11.684 * [backup-simplify]: Simplify 1 into 1
11.685 * [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)))
11.685 * [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))))
11.686 * [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)))
11.686 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.686 * [taylor]: Taking taylor expansion of 1/8 in J
11.686 * [backup-simplify]: Simplify 1/8 into 1/8
11.686 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.686 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.686 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.687 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.687 * [taylor]: Taking taylor expansion of 1/2 in J
11.687 * [backup-simplify]: Simplify 1/2 into 1/2
11.687 * [taylor]: Taking taylor expansion of K in J
11.687 * [backup-simplify]: Simplify K into K
11.687 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.687 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.687 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.687 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.687 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.687 * [backup-simplify]: Simplify (- 0) into 0
11.688 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.688 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.688 * [taylor]: Taking taylor expansion of J in J
11.688 * [backup-simplify]: Simplify 0 into 0
11.688 * [backup-simplify]: Simplify 1 into 1
11.688 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.688 * [backup-simplify]: Simplify (* 1 1) into 1
11.688 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.688 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
11.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.690 * [backup-simplify]: Simplify (+ 0) into 0
11.690 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.692 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.692 * [backup-simplify]: Simplify (- 0) into 0
11.693 * [backup-simplify]: Simplify (+ 0 0) into 0
11.693 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.693 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.694 * [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
11.694 * [taylor]: Taking taylor expansion of 0 in K
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [taylor]: Taking taylor expansion of 0 in K
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [taylor]: Taking taylor expansion of 0 in K
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [backup-simplify]: Simplify 0 into 0
11.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.699 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.700 * [backup-simplify]: Simplify (+ 0) into 0
11.701 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.703 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.703 * [backup-simplify]: Simplify (- 0) into 0
11.704 * [backup-simplify]: Simplify (+ 0 0) into 0
11.704 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.704 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.705 * [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
11.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.706 * [backup-simplify]: Simplify (+ 0 0) into 0
11.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.707 * [taylor]: Taking taylor expansion of 0 in J
11.707 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.709 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.712 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.712 * [backup-simplify]: Simplify (- 0) into 0
11.713 * [backup-simplify]: Simplify (+ 0 0) into 0
11.713 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.714 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.714 * [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
11.714 * [taylor]: Taking taylor expansion of 0 in K
11.714 * [backup-simplify]: Simplify 0 into 0
11.714 * [backup-simplify]: Simplify 0 into 0
11.714 * [taylor]: Taking taylor expansion of 0 in K
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 1 into 1
11.715 * [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))
11.715 * [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
11.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.715 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.715 * [taylor]: Taking taylor expansion of 1/4 in K
11.715 * [backup-simplify]: Simplify 1/4 into 1/4
11.716 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.716 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.716 * [taylor]: Taking taylor expansion of J in K
11.716 * [backup-simplify]: Simplify J into J
11.716 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.716 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.716 * [taylor]: Taking taylor expansion of U in K
11.716 * [backup-simplify]: Simplify U into U
11.716 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.716 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.716 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.716 * [taylor]: Taking taylor expansion of 1/2 in K
11.716 * [backup-simplify]: Simplify 1/2 into 1/2
11.716 * [taylor]: Taking taylor expansion of K in K
11.716 * [backup-simplify]: Simplify 0 into 0
11.716 * [backup-simplify]: Simplify 1 into 1
11.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.717 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.717 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.717 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.717 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.717 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.717 * [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)))
11.717 * [taylor]: Taking taylor expansion of 1 in K
11.717 * [backup-simplify]: Simplify 1 into 1
11.718 * [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))))
11.718 * [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)
11.718 * [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))
11.718 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.719 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.719 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.719 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.719 * [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
11.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.720 * [backup-simplify]: Simplify (+ 0 0) into 0
11.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.721 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.721 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.721 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.721 * [taylor]: Taking taylor expansion of 1/4 in J
11.721 * [backup-simplify]: Simplify 1/4 into 1/4
11.721 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.721 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.721 * [taylor]: Taking taylor expansion of J in J
11.721 * [backup-simplify]: Simplify 0 into 0
11.721 * [backup-simplify]: Simplify 1 into 1
11.721 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.721 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.721 * [taylor]: Taking taylor expansion of U in J
11.721 * [backup-simplify]: Simplify U into U
11.721 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.721 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.721 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.721 * [taylor]: Taking taylor expansion of 1/2 in J
11.721 * [backup-simplify]: Simplify 1/2 into 1/2
11.721 * [taylor]: Taking taylor expansion of K in J
11.721 * [backup-simplify]: Simplify K into K
11.721 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.721 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.721 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.721 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.721 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.722 * [backup-simplify]: Simplify (- 0) into 0
11.722 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.722 * [backup-simplify]: Simplify (* 1 1) into 1
11.722 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.722 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.722 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.722 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.722 * [taylor]: Taking taylor expansion of 1 in J
11.722 * [backup-simplify]: Simplify 1 into 1
11.723 * [backup-simplify]: Simplify (+ 0 1) into 1
11.723 * [backup-simplify]: Simplify (sqrt 1) into 1
11.723 * [backup-simplify]: Simplify (+ 0 0) into 0
11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.724 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.724 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.724 * [taylor]: Taking taylor expansion of 1/4 in U
11.724 * [backup-simplify]: Simplify 1/4 into 1/4
11.724 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.724 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.724 * [taylor]: Taking taylor expansion of J in U
11.724 * [backup-simplify]: Simplify J into J
11.724 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.724 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.724 * [taylor]: Taking taylor expansion of U in U
11.724 * [backup-simplify]: Simplify 0 into 0
11.724 * [backup-simplify]: Simplify 1 into 1
11.724 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.724 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.724 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.724 * [taylor]: Taking taylor expansion of 1/2 in U
11.724 * [backup-simplify]: Simplify 1/2 into 1/2
11.724 * [taylor]: Taking taylor expansion of K in U
11.724 * [backup-simplify]: Simplify K into K
11.724 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.724 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.724 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.724 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.724 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.724 * [backup-simplify]: Simplify (- 0) into 0
11.724 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.724 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.725 * [backup-simplify]: Simplify (* 1 1) into 1
11.725 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.725 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.725 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.725 * [taylor]: Taking taylor expansion of 1 in U
11.725 * [backup-simplify]: Simplify 1 into 1
11.725 * [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)))
11.725 * [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)))
11.725 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.725 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.726 * [backup-simplify]: Simplify (+ 0) into 0
11.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.727 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.727 * [backup-simplify]: Simplify (- 0) into 0
11.727 * [backup-simplify]: Simplify (+ 0 0) into 0
11.727 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.728 * [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
11.729 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.729 * [backup-simplify]: Simplify (+ 0 0) into 0
11.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.729 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.729 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.729 * [taylor]: Taking taylor expansion of 1/4 in U
11.729 * [backup-simplify]: Simplify 1/4 into 1/4
11.729 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.729 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.729 * [taylor]: Taking taylor expansion of J in U
11.729 * [backup-simplify]: Simplify J into J
11.729 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.729 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.729 * [taylor]: Taking taylor expansion of U in U
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify 1 into 1
11.729 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.730 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.730 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.730 * [taylor]: Taking taylor expansion of 1/2 in U
11.730 * [backup-simplify]: Simplify 1/2 into 1/2
11.730 * [taylor]: Taking taylor expansion of K in U
11.730 * [backup-simplify]: Simplify K into K
11.730 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.730 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.730 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.730 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.730 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.730 * [backup-simplify]: Simplify (- 0) into 0
11.730 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.730 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.730 * [backup-simplify]: Simplify (* 1 1) into 1
11.730 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.731 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.731 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.731 * [taylor]: Taking taylor expansion of 1 in U
11.731 * [backup-simplify]: Simplify 1 into 1
11.731 * [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)))
11.731 * [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)))
11.731 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.731 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.731 * [backup-simplify]: Simplify (+ 0) into 0
11.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.733 * [backup-simplify]: Simplify (- 0) into 0
11.733 * [backup-simplify]: Simplify (+ 0 0) into 0
11.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.734 * [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
11.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.735 * [backup-simplify]: Simplify (+ 0 0) into 0
11.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.735 * [taylor]: Taking taylor expansion of 1/2 in J
11.735 * [backup-simplify]: Simplify 1/2 into 1/2
11.735 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.735 * [taylor]: Taking taylor expansion of J in J
11.735 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify 1 into 1
11.735 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.735 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.735 * [taylor]: Taking taylor expansion of 1/2 in J
11.735 * [backup-simplify]: Simplify 1/2 into 1/2
11.735 * [taylor]: Taking taylor expansion of K in J
11.735 * [backup-simplify]: Simplify K into K
11.735 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.735 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.736 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.736 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.736 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.736 * [backup-simplify]: Simplify (- 0) into 0
11.736 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.736 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.736 * [taylor]: Taking taylor expansion of 0 in J
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [taylor]: Taking taylor expansion of 0 in K
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.736 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
11.736 * [taylor]: Taking taylor expansion of 1/2 in K
11.736 * [backup-simplify]: Simplify 1/2 into 1/2
11.736 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.736 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.736 * [taylor]: Taking taylor expansion of 1/2 in K
11.736 * [backup-simplify]: Simplify 1/2 into 1/2
11.736 * [taylor]: Taking taylor expansion of K in K
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.737 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.737 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.737 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.737 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.739 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.739 * [backup-simplify]: Simplify (- 0) into 0
11.740 * [backup-simplify]: Simplify (+ 0 0) into 0
11.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.741 * [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
11.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.742 * [backup-simplify]: Simplify (+ 0 1) into 1
11.743 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.743 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.743 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.743 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.743 * [taylor]: Taking taylor expansion of 1/2 in J
11.743 * [backup-simplify]: Simplify 1/2 into 1/2
11.743 * [taylor]: Taking taylor expansion of K in J
11.743 * [backup-simplify]: Simplify K into K
11.743 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.743 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.743 * [taylor]: Taking taylor expansion of J in J
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.743 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.743 * [backup-simplify]: Simplify (- 0) into 0
11.743 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.743 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.744 * [backup-simplify]: Simplify (+ 0) into 0
11.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.745 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.745 * [backup-simplify]: Simplify (- 0) into 0
11.745 * [backup-simplify]: Simplify (+ 0 0) into 0
11.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.746 * [taylor]: Taking taylor expansion of 0 in K
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [taylor]: Taking taylor expansion of 0 in K
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify (+ 0) into 0
11.747 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.748 * [backup-simplify]: Simplify (- 0) into 0
11.748 * [backup-simplify]: Simplify (+ 0 0) into 0
11.748 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.749 * [taylor]: Taking taylor expansion of 0 in K
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.750 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.751 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.752 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.752 * [backup-simplify]: Simplify (- 0) into 0
11.753 * [backup-simplify]: Simplify (+ 0 0) into 0
11.753 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
11.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.756 * [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
11.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.758 * [backup-simplify]: Simplify (+ 0 0) into 0
11.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
11.758 * [taylor]: Taking taylor expansion of 0 in J
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [taylor]: Taking taylor expansion of 0 in K
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [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)))
11.759 * [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))))))
11.759 * [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
11.759 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.759 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.759 * [taylor]: Taking taylor expansion of 1 in K
11.759 * [backup-simplify]: Simplify 1 into 1
11.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.759 * [taylor]: Taking taylor expansion of 1/4 in K
11.759 * [backup-simplify]: Simplify 1/4 into 1/4
11.759 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.759 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.759 * [taylor]: Taking taylor expansion of J in K
11.759 * [backup-simplify]: Simplify J into J
11.759 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.759 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.760 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.760 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.760 * [taylor]: Taking taylor expansion of -1/2 in K
11.760 * [backup-simplify]: Simplify -1/2 into -1/2
11.760 * [taylor]: Taking taylor expansion of K in K
11.760 * [backup-simplify]: Simplify 0 into 0
11.760 * [backup-simplify]: Simplify 1 into 1
11.760 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.760 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.760 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.760 * [taylor]: Taking taylor expansion of U in K
11.760 * [backup-simplify]: Simplify U into U
11.760 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.761 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.761 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.761 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.761 * [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)))
11.761 * [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))))
11.762 * [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)))))
11.762 * [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))))))
11.762 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.762 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.762 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.763 * [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
11.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.764 * [backup-simplify]: Simplify (+ 0 0) into 0
11.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.765 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.765 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.765 * [taylor]: Taking taylor expansion of 1 in J
11.765 * [backup-simplify]: Simplify 1 into 1
11.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.765 * [taylor]: Taking taylor expansion of 1/4 in J
11.765 * [backup-simplify]: Simplify 1/4 into 1/4
11.765 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.765 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.765 * [taylor]: Taking taylor expansion of J in J
11.765 * [backup-simplify]: Simplify 0 into 0
11.765 * [backup-simplify]: Simplify 1 into 1
11.765 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.765 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.765 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.765 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.765 * [taylor]: Taking taylor expansion of -1/2 in J
11.765 * [backup-simplify]: Simplify -1/2 into -1/2
11.765 * [taylor]: Taking taylor expansion of K in J
11.765 * [backup-simplify]: Simplify K into K
11.765 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.765 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.766 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.766 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.766 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.766 * [backup-simplify]: Simplify (- 0) into 0
11.766 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.766 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.766 * [taylor]: Taking taylor expansion of U in J
11.766 * [backup-simplify]: Simplify U into U
11.767 * [backup-simplify]: Simplify (* 1 1) into 1
11.767 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.767 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.767 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.767 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.768 * [backup-simplify]: Simplify (+ 1 0) into 1
11.768 * [backup-simplify]: Simplify (sqrt 1) into 1
11.768 * [backup-simplify]: Simplify (+ 0 0) into 0
11.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.769 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.769 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.769 * [taylor]: Taking taylor expansion of 1 in U
11.769 * [backup-simplify]: Simplify 1 into 1
11.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.769 * [taylor]: Taking taylor expansion of 1/4 in U
11.769 * [backup-simplify]: Simplify 1/4 into 1/4
11.769 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.769 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.769 * [taylor]: Taking taylor expansion of J in U
11.769 * [backup-simplify]: Simplify J into J
11.769 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.769 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.769 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.769 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.769 * [taylor]: Taking taylor expansion of -1/2 in U
11.769 * [backup-simplify]: Simplify -1/2 into -1/2
11.770 * [taylor]: Taking taylor expansion of K in U
11.770 * [backup-simplify]: Simplify K into K
11.770 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.770 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.770 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.770 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.770 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.770 * [backup-simplify]: Simplify (- 0) into 0
11.770 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.770 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.770 * [taylor]: Taking taylor expansion of U in U
11.770 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 1 into 1
11.771 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.771 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.771 * [backup-simplify]: Simplify (* 1 1) into 1
11.771 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.771 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.772 * [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)))
11.772 * [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)))
11.772 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.772 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.773 * [backup-simplify]: Simplify (+ 0) into 0
11.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.774 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.775 * [backup-simplify]: Simplify (- 0) into 0
11.776 * [backup-simplify]: Simplify (+ 0 0) into 0
11.776 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.776 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.776 * [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
11.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.777 * [backup-simplify]: Simplify (+ 0 0) into 0
11.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.777 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.777 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.777 * [taylor]: Taking taylor expansion of 1 in U
11.777 * [backup-simplify]: Simplify 1 into 1
11.777 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.777 * [taylor]: Taking taylor expansion of 1/4 in U
11.777 * [backup-simplify]: Simplify 1/4 into 1/4
11.777 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.777 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.777 * [taylor]: Taking taylor expansion of J in U
11.777 * [backup-simplify]: Simplify J into J
11.777 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.778 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.778 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.778 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.778 * [taylor]: Taking taylor expansion of -1/2 in U
11.778 * [backup-simplify]: Simplify -1/2 into -1/2
11.778 * [taylor]: Taking taylor expansion of K in U
11.778 * [backup-simplify]: Simplify K into K
11.778 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.778 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.778 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.778 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.778 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.778 * [backup-simplify]: Simplify (- 0) into 0
11.778 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.778 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.778 * [taylor]: Taking taylor expansion of U in U
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify 1 into 1
11.778 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.778 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.779 * [backup-simplify]: Simplify (* 1 1) into 1
11.779 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.779 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.779 * [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)))
11.779 * [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)))
11.779 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.779 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.780 * [backup-simplify]: Simplify (+ 0) into 0
11.780 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.780 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.781 * [backup-simplify]: Simplify (- 0) into 0
11.782 * [backup-simplify]: Simplify (+ 0 0) into 0
11.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.782 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.782 * [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
11.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.783 * [backup-simplify]: Simplify (+ 0 0) into 0
11.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.783 * [taylor]: Taking taylor expansion of 1/2 in J
11.783 * [backup-simplify]: Simplify 1/2 into 1/2
11.783 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.783 * [taylor]: Taking taylor expansion of J in J
11.783 * [backup-simplify]: Simplify 0 into 0
11.783 * [backup-simplify]: Simplify 1 into 1
11.783 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.783 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.783 * [taylor]: Taking taylor expansion of -1/2 in J
11.783 * [backup-simplify]: Simplify -1/2 into -1/2
11.783 * [taylor]: Taking taylor expansion of K in J
11.783 * [backup-simplify]: Simplify K into K
11.783 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.783 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.784 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.784 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.784 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.784 * [backup-simplify]: Simplify (- 0) into 0
11.784 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.784 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.784 * [taylor]: Taking taylor expansion of 0 in J
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [taylor]: Taking taylor expansion of 0 in K
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.784 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
11.784 * [taylor]: Taking taylor expansion of 1/2 in K
11.784 * [backup-simplify]: Simplify 1/2 into 1/2
11.784 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.784 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.784 * [taylor]: Taking taylor expansion of -1/2 in K
11.784 * [backup-simplify]: Simplify -1/2 into -1/2
11.784 * [taylor]: Taking taylor expansion of K in K
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.785 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.785 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.785 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.785 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.785 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.786 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.787 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.787 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.788 * [backup-simplify]: Simplify (- 0) into 0
11.788 * [backup-simplify]: Simplify (+ 0 0) into 0
11.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.789 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.789 * [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
11.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.790 * [backup-simplify]: Simplify (+ 1 0) into 1
11.791 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.791 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.791 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.791 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.791 * [taylor]: Taking taylor expansion of -1/2 in J
11.791 * [backup-simplify]: Simplify -1/2 into -1/2
11.791 * [taylor]: Taking taylor expansion of K in J
11.791 * [backup-simplify]: Simplify K into K
11.791 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.791 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.791 * [taylor]: Taking taylor expansion of J in J
11.791 * [backup-simplify]: Simplify 0 into 0
11.791 * [backup-simplify]: Simplify 1 into 1
11.791 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.791 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.791 * [backup-simplify]: Simplify (- 0) into 0
11.791 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.791 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.792 * [backup-simplify]: Simplify (+ 0) into 0
11.792 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.792 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.793 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.793 * [backup-simplify]: Simplify (- 0) into 0
11.794 * [backup-simplify]: Simplify (+ 0 0) into 0
11.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.794 * [taylor]: Taking taylor expansion of 0 in K
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [taylor]: Taking taylor expansion of 0 in K
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify (+ 0) into 0
11.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.796 * [backup-simplify]: Simplify (- 0) into 0
11.796 * [backup-simplify]: Simplify (+ 0 0) into 0
11.796 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.797 * [taylor]: Taking taylor expansion of 0 in K
11.797 * [backup-simplify]: Simplify 0 into 0
11.797 * [backup-simplify]: Simplify 0 into 0
11.797 * [backup-simplify]: Simplify 0 into 0
11.797 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.797 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.799 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.799 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.801 * [backup-simplify]: Simplify (- 0) into 0
11.801 * [backup-simplify]: Simplify (+ 0 0) into 0
11.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
11.802 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.802 * [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
11.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.804 * [backup-simplify]: Simplify (+ 0 0) into 0
11.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
11.804 * [taylor]: Taking taylor expansion of 0 in J
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [taylor]: Taking taylor expansion of 0 in K
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [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)))
11.804 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
11.804 * [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))))
11.804 * [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
11.804 * [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
11.804 * [taylor]: Taking taylor expansion of -2 in K
11.805 * [backup-simplify]: Simplify -2 into -2
11.805 * [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
11.805 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
11.805 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.805 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.805 * [taylor]: Taking taylor expansion of 1/2 in K
11.805 * [backup-simplify]: Simplify 1/2 into 1/2
11.805 * [taylor]: Taking taylor expansion of K in K
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.805 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.805 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.805 * [taylor]: Taking taylor expansion of J in K
11.805 * [backup-simplify]: Simplify J into J
11.805 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.805 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.805 * [taylor]: Taking taylor expansion of 1/4 in K
11.806 * [backup-simplify]: Simplify 1/4 into 1/4
11.806 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.806 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.806 * [taylor]: Taking taylor expansion of U in K
11.806 * [backup-simplify]: Simplify U into U
11.806 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.806 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.806 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.806 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.806 * [taylor]: Taking taylor expansion of 1/2 in K
11.806 * [backup-simplify]: Simplify 1/2 into 1/2
11.806 * [taylor]: Taking taylor expansion of K in K
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify 1 into 1
11.806 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.806 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.806 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.806 * [taylor]: Taking taylor expansion of J in K
11.806 * [backup-simplify]: Simplify J into J
11.807 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.807 * [backup-simplify]: Simplify (* 1 1) into 1
11.807 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.807 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.807 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.807 * [taylor]: Taking taylor expansion of 1 in K
11.807 * [backup-simplify]: Simplify 1 into 1
11.807 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.807 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.807 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.807 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.807 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.808 * [backup-simplify]: Simplify (+ 0) into 0
11.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.812 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.812 * [backup-simplify]: Simplify (+ 0 0) into 0
11.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.813 * [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
11.813 * [taylor]: Taking taylor expansion of -2 in J
11.813 * [backup-simplify]: Simplify -2 into -2
11.813 * [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
11.813 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
11.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.813 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.813 * [taylor]: Taking taylor expansion of 1/2 in J
11.813 * [backup-simplify]: Simplify 1/2 into 1/2
11.813 * [taylor]: Taking taylor expansion of K in J
11.813 * [backup-simplify]: Simplify K into K
11.813 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.813 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.813 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.813 * [taylor]: Taking taylor expansion of J in J
11.813 * [backup-simplify]: Simplify 0 into 0
11.813 * [backup-simplify]: Simplify 1 into 1
11.813 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.813 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.813 * [taylor]: Taking taylor expansion of 1/4 in J
11.813 * [backup-simplify]: Simplify 1/4 into 1/4
11.813 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.813 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.813 * [taylor]: Taking taylor expansion of U in J
11.813 * [backup-simplify]: Simplify U into U
11.813 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.813 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.813 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.813 * [taylor]: Taking taylor expansion of 1/2 in J
11.813 * [backup-simplify]: Simplify 1/2 into 1/2
11.813 * [taylor]: Taking taylor expansion of K in J
11.813 * [backup-simplify]: Simplify K into K
11.813 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.813 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.813 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.813 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.813 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.814 * [backup-simplify]: Simplify (- 0) into 0
11.814 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.814 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.814 * [taylor]: Taking taylor expansion of J in J
11.814 * [backup-simplify]: Simplify 0 into 0
11.814 * [backup-simplify]: Simplify 1 into 1
11.814 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.814 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.814 * [backup-simplify]: Simplify (* 1 1) into 1
11.814 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.814 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.814 * [taylor]: Taking taylor expansion of 1 in J
11.814 * [backup-simplify]: Simplify 1 into 1
11.815 * [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)))
11.815 * [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)))
11.815 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.815 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.816 * [backup-simplify]: Simplify (+ 0) into 0
11.816 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.817 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.818 * [backup-simplify]: Simplify (- 0) into 0
11.818 * [backup-simplify]: Simplify (+ 0 0) into 0
11.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.819 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.819 * [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
11.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.820 * [backup-simplify]: Simplify (+ 0 0) into 0
11.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.820 * [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
11.820 * [taylor]: Taking taylor expansion of -2 in U
11.820 * [backup-simplify]: Simplify -2 into -2
11.820 * [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
11.820 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
11.820 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.820 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.820 * [taylor]: Taking taylor expansion of 1/2 in U
11.820 * [backup-simplify]: Simplify 1/2 into 1/2
11.820 * [taylor]: Taking taylor expansion of K in U
11.821 * [backup-simplify]: Simplify K into K
11.821 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.821 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.821 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.821 * [taylor]: Taking taylor expansion of J in U
11.821 * [backup-simplify]: Simplify J into J
11.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.821 * [taylor]: Taking taylor expansion of 1/4 in U
11.821 * [backup-simplify]: Simplify 1/4 into 1/4
11.821 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.821 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.821 * [taylor]: Taking taylor expansion of U in U
11.821 * [backup-simplify]: Simplify 0 into 0
11.821 * [backup-simplify]: Simplify 1 into 1
11.821 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.821 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.821 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.821 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.821 * [taylor]: Taking taylor expansion of 1/2 in U
11.821 * [backup-simplify]: Simplify 1/2 into 1/2
11.821 * [taylor]: Taking taylor expansion of K in U
11.821 * [backup-simplify]: Simplify K into K
11.821 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.821 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.821 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.821 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.822 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.822 * [backup-simplify]: Simplify (- 0) into 0
11.822 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.822 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.822 * [taylor]: Taking taylor expansion of J in U
11.822 * [backup-simplify]: Simplify J into J
11.822 * [backup-simplify]: Simplify (* 1 1) into 1
11.823 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.823 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.823 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.823 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.823 * [taylor]: Taking taylor expansion of 1 in U
11.823 * [backup-simplify]: Simplify 1 into 1
11.824 * [backup-simplify]: Simplify (+ 0 1) into 1
11.824 * [backup-simplify]: Simplify (sqrt 1) into 1
11.824 * [backup-simplify]: Simplify (+ 0 0) into 0
11.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.825 * [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
11.825 * [taylor]: Taking taylor expansion of -2 in U
11.825 * [backup-simplify]: Simplify -2 into -2
11.825 * [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
11.825 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
11.825 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.825 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.825 * [taylor]: Taking taylor expansion of 1/2 in U
11.825 * [backup-simplify]: Simplify 1/2 into 1/2
11.825 * [taylor]: Taking taylor expansion of K in U
11.825 * [backup-simplify]: Simplify K into K
11.825 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.825 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.825 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.825 * [taylor]: Taking taylor expansion of J in U
11.825 * [backup-simplify]: Simplify J into J
11.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.826 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.826 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.826 * [taylor]: Taking taylor expansion of 1/4 in U
11.826 * [backup-simplify]: Simplify 1/4 into 1/4
11.826 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.826 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.826 * [taylor]: Taking taylor expansion of U in U
11.826 * [backup-simplify]: Simplify 0 into 0
11.826 * [backup-simplify]: Simplify 1 into 1
11.826 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.826 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.826 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.826 * [taylor]: Taking taylor expansion of 1/2 in U
11.826 * [backup-simplify]: Simplify 1/2 into 1/2
11.826 * [taylor]: Taking taylor expansion of K in U
11.826 * [backup-simplify]: Simplify K into K
11.826 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.826 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.826 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.826 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.827 * [backup-simplify]: Simplify (- 0) into 0
11.827 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.827 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.827 * [taylor]: Taking taylor expansion of J in U
11.827 * [backup-simplify]: Simplify J into J
11.827 * [backup-simplify]: Simplify (* 1 1) into 1
11.827 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.827 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.828 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.828 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.828 * [taylor]: Taking taylor expansion of 1 in U
11.828 * [backup-simplify]: Simplify 1 into 1
11.828 * [backup-simplify]: Simplify (+ 0 1) into 1
11.829 * [backup-simplify]: Simplify (sqrt 1) into 1
11.829 * [backup-simplify]: Simplify (+ 0 0) into 0
11.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.830 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.830 * [backup-simplify]: Simplify (- 0) into 0
11.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
11.831 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
11.831 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
11.831 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
11.831 * [taylor]: Taking taylor expansion of -2 in J
11.831 * [backup-simplify]: Simplify -2 into -2
11.831 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
11.831 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.831 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.831 * [taylor]: Taking taylor expansion of 1/2 in J
11.831 * [backup-simplify]: Simplify 1/2 into 1/2
11.831 * [taylor]: Taking taylor expansion of K in J
11.831 * [backup-simplify]: Simplify K into K
11.831 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.831 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.831 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.831 * [taylor]: Taking taylor expansion of J in J
11.831 * [backup-simplify]: Simplify 0 into 0
11.831 * [backup-simplify]: Simplify 1 into 1
11.832 * [backup-simplify]: Simplify (+ 0) into 0
11.832 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.834 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.834 * [backup-simplify]: Simplify (- 0) into 0
11.835 * [backup-simplify]: Simplify (+ 0 0) into 0
11.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
11.835 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
11.836 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
11.836 * [taylor]: Taking taylor expansion of 0 in J
11.836 * [backup-simplify]: Simplify 0 into 0
11.836 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.836 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.837 * [backup-simplify]: Simplify (- 0) into 0
11.837 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.837 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
11.837 * [backup-simplify]: Simplify (* -2 0) into 0
11.837 * [taylor]: Taking taylor expansion of 0 in K
11.837 * [backup-simplify]: Simplify 0 into 0
11.837 * [backup-simplify]: Simplify 0 into 0
11.838 * [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)))
11.838 * [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))))
11.839 * [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)))
11.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.841 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.843 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.843 * [backup-simplify]: Simplify (- 0) into 0
11.843 * [backup-simplify]: Simplify (+ 0 0) into 0
11.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
11.845 * [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)))
11.845 * [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))))
11.846 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
11.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
11.846 * [taylor]: Taking taylor expansion of 1/4 in J
11.846 * [backup-simplify]: Simplify 1/4 into 1/4
11.846 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
11.846 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
11.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.846 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.846 * [taylor]: Taking taylor expansion of 1/2 in J
11.846 * [backup-simplify]: Simplify 1/2 into 1/2
11.846 * [taylor]: Taking taylor expansion of K in J
11.846 * [backup-simplify]: Simplify K into K
11.846 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.846 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.846 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.846 * [taylor]: Taking taylor expansion of J in J
11.846 * [backup-simplify]: Simplify 0 into 0
11.846 * [backup-simplify]: Simplify 1 into 1
11.846 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.846 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.847 * [backup-simplify]: Simplify (- 0) into 0
11.847 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.847 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
11.847 * [backup-simplify]: Simplify (+ 0) into 0
11.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.849 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.850 * [backup-simplify]: Simplify (- 0) into 0
11.850 * [backup-simplify]: Simplify (+ 0 0) into 0
11.850 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
11.851 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
11.851 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
11.851 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
11.851 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
11.851 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
11.851 * [taylor]: Taking taylor expansion of 1/4 in K
11.851 * [backup-simplify]: Simplify 1/4 into 1/4
11.851 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
11.851 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.851 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.851 * [taylor]: Taking taylor expansion of 1/2 in K
11.851 * [backup-simplify]: Simplify 1/2 into 1/2
11.851 * [taylor]: Taking taylor expansion of K in K
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 1 into 1
11.851 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.852 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.853 * [backup-simplify]: Simplify (/ 1 1) into 1
11.853 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
11.853 * [backup-simplify]: Simplify (- 1/4) into -1/4
11.853 * [backup-simplify]: Simplify -1/4 into -1/4
11.853 * [taylor]: Taking taylor expansion of 0 in K
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 0 into 0
11.854 * [backup-simplify]: Simplify (+ 0) into 0
11.854 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.856 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.856 * [backup-simplify]: Simplify (- 0) into 0
11.857 * [backup-simplify]: Simplify (+ 0 0) into 0
11.857 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
11.858 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
11.858 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
11.858 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
11.858 * [taylor]: Taking taylor expansion of 2 in K
11.858 * [backup-simplify]: Simplify 2 into 2
11.858 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.858 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.858 * [taylor]: Taking taylor expansion of 1/2 in K
11.858 * [backup-simplify]: Simplify 1/2 into 1/2
11.858 * [taylor]: Taking taylor expansion of K in K
11.858 * [backup-simplify]: Simplify 0 into 0
11.858 * [backup-simplify]: Simplify 1 into 1
11.859 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.859 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.860 * [backup-simplify]: Simplify (* 2 1) into 2
11.860 * [backup-simplify]: Simplify (- 2) into -2
11.860 * [backup-simplify]: Simplify -2 into -2
11.860 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.861 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.861 * [backup-simplify]: Simplify (+ 0) into 0
11.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.864 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.864 * [backup-simplify]: Simplify (- 0) into 0
11.864 * [backup-simplify]: Simplify (+ 0 0) into 0
11.865 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.865 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.865 * [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
11.866 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.866 * [backup-simplify]: Simplify (+ 0 0) into 0
11.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.868 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
11.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.872 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.872 * [backup-simplify]: Simplify (- 0) into 0
11.872 * [backup-simplify]: Simplify (+ 0 0) into 0
11.873 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.874 * [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
11.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
11.875 * [taylor]: Taking taylor expansion of 0 in J
11.875 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.877 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.878 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.879 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.879 * [backup-simplify]: Simplify (- 0) into 0
11.880 * [backup-simplify]: Simplify (+ 0 0) into 0
11.880 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
11.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
11.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
11.881 * [backup-simplify]: Simplify (- 0) into 0
11.882 * [taylor]: Taking taylor expansion of 0 in K
11.882 * [backup-simplify]: Simplify 0 into 0
11.882 * [backup-simplify]: Simplify 0 into 0
11.882 * [taylor]: Taking taylor expansion of 0 in K
11.882 * [backup-simplify]: Simplify 0 into 0
11.882 * [backup-simplify]: Simplify 0 into 0
11.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.885 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.886 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.886 * [backup-simplify]: Simplify (- 0) into 0
11.886 * [backup-simplify]: Simplify (+ 0 0) into 0
11.887 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
11.888 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
11.888 * [taylor]: Taking taylor expansion of 0 in K
11.888 * [backup-simplify]: Simplify 0 into 0
11.888 * [backup-simplify]: Simplify 0 into 0
11.888 * [backup-simplify]: Simplify (+ 0) into 0
11.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
11.890 * [backup-simplify]: Simplify (- 0) into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.891 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
11.891 * [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)))
11.891 * [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
11.891 * [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
11.892 * [taylor]: Taking taylor expansion of -2 in K
11.892 * [backup-simplify]: Simplify -2 into -2
11.892 * [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
11.892 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.892 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.892 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.892 * [taylor]: Taking taylor expansion of 1/4 in K
11.892 * [backup-simplify]: Simplify 1/4 into 1/4
11.892 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.892 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.892 * [taylor]: Taking taylor expansion of J in K
11.892 * [backup-simplify]: Simplify J into J
11.892 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.892 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.892 * [taylor]: Taking taylor expansion of U in K
11.892 * [backup-simplify]: Simplify U into U
11.892 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.892 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.892 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.892 * [taylor]: Taking taylor expansion of 1/2 in K
11.892 * [backup-simplify]: Simplify 1/2 into 1/2
11.892 * [taylor]: Taking taylor expansion of K in K
11.892 * [backup-simplify]: Simplify 0 into 0
11.892 * [backup-simplify]: Simplify 1 into 1
11.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.893 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.893 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.893 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.893 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.893 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.893 * [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)))
11.893 * [taylor]: Taking taylor expansion of 1 in K
11.893 * [backup-simplify]: Simplify 1 into 1
11.894 * [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))))
11.894 * [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)
11.894 * [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))
11.894 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.895 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.895 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.895 * [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
11.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.896 * [backup-simplify]: Simplify (+ 0 0) into 0
11.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.897 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
11.897 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.897 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.897 * [taylor]: Taking taylor expansion of 1/2 in K
11.897 * [backup-simplify]: Simplify 1/2 into 1/2
11.897 * [taylor]: Taking taylor expansion of K in K
11.897 * [backup-simplify]: Simplify 0 into 0
11.897 * [backup-simplify]: Simplify 1 into 1
11.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.897 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.898 * [taylor]: Taking taylor expansion of J in K
11.898 * [backup-simplify]: Simplify J into J
11.898 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
11.898 * [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
11.898 * [taylor]: Taking taylor expansion of -2 in J
11.898 * [backup-simplify]: Simplify -2 into -2
11.898 * [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
11.898 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.898 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.898 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.898 * [taylor]: Taking taylor expansion of 1/4 in J
11.898 * [backup-simplify]: Simplify 1/4 into 1/4
11.898 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.898 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.898 * [taylor]: Taking taylor expansion of J in J
11.898 * [backup-simplify]: Simplify 0 into 0
11.898 * [backup-simplify]: Simplify 1 into 1
11.898 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.898 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.898 * [taylor]: Taking taylor expansion of U in J
11.898 * [backup-simplify]: Simplify U into U
11.898 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.898 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.898 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.898 * [taylor]: Taking taylor expansion of 1/2 in J
11.898 * [backup-simplify]: Simplify 1/2 into 1/2
11.898 * [taylor]: Taking taylor expansion of K in J
11.898 * [backup-simplify]: Simplify K into K
11.898 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.898 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.898 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.899 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.899 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.899 * [backup-simplify]: Simplify (- 0) into 0
11.899 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.899 * [backup-simplify]: Simplify (* 1 1) into 1
11.900 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.900 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.900 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.900 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.900 * [taylor]: Taking taylor expansion of 1 in J
11.900 * [backup-simplify]: Simplify 1 into 1
11.900 * [backup-simplify]: Simplify (+ 0 1) into 1
11.901 * [backup-simplify]: Simplify (sqrt 1) into 1
11.901 * [backup-simplify]: Simplify (+ 0 0) into 0
11.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.902 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.902 * [taylor]: Taking taylor expansion of 1/2 in J
11.902 * [backup-simplify]: Simplify 1/2 into 1/2
11.902 * [taylor]: Taking taylor expansion of K in J
11.902 * [backup-simplify]: Simplify K into K
11.902 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.902 * [taylor]: Taking taylor expansion of J in J
11.902 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify 1 into 1
11.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.903 * [backup-simplify]: Simplify (- 0) into 0
11.903 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.903 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.903 * [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
11.903 * [taylor]: Taking taylor expansion of -2 in U
11.903 * [backup-simplify]: Simplify -2 into -2
11.903 * [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
11.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.903 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.903 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.903 * [taylor]: Taking taylor expansion of 1/4 in U
11.903 * [backup-simplify]: Simplify 1/4 into 1/4
11.903 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.903 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.903 * [taylor]: Taking taylor expansion of J in U
11.903 * [backup-simplify]: Simplify J into J
11.903 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.903 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.903 * [taylor]: Taking taylor expansion of U in U
11.903 * [backup-simplify]: Simplify 0 into 0
11.903 * [backup-simplify]: Simplify 1 into 1
11.903 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.904 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.904 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.904 * [taylor]: Taking taylor expansion of 1/2 in U
11.904 * [backup-simplify]: Simplify 1/2 into 1/2
11.904 * [taylor]: Taking taylor expansion of K in U
11.904 * [backup-simplify]: Simplify K into K
11.904 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.904 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.904 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.904 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.904 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.904 * [backup-simplify]: Simplify (- 0) into 0
11.904 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.905 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.905 * [backup-simplify]: Simplify (* 1 1) into 1
11.905 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.905 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.905 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.905 * [taylor]: Taking taylor expansion of 1 in U
11.905 * [backup-simplify]: Simplify 1 into 1
11.905 * [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)))
11.906 * [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)))
11.906 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.906 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.906 * [backup-simplify]: Simplify (+ 0) into 0
11.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.907 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.908 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.909 * [backup-simplify]: Simplify (- 0) into 0
11.909 * [backup-simplify]: Simplify (+ 0 0) into 0
11.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.911 * [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
11.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.912 * [backup-simplify]: Simplify (+ 0 0) into 0
11.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.912 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
11.912 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.912 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.912 * [taylor]: Taking taylor expansion of 1/2 in U
11.912 * [backup-simplify]: Simplify 1/2 into 1/2
11.912 * [taylor]: Taking taylor expansion of K in U
11.912 * [backup-simplify]: Simplify K into K
11.912 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.912 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.912 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.912 * [taylor]: Taking taylor expansion of J in U
11.912 * [backup-simplify]: Simplify J into J
11.912 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.912 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.913 * [backup-simplify]: Simplify (- 0) into 0
11.913 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.913 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
11.913 * [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
11.913 * [taylor]: Taking taylor expansion of -2 in U
11.913 * [backup-simplify]: Simplify -2 into -2
11.913 * [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
11.913 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.913 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.913 * [taylor]: Taking taylor expansion of 1/4 in U
11.913 * [backup-simplify]: Simplify 1/4 into 1/4
11.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.913 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.913 * [taylor]: Taking taylor expansion of J in U
11.913 * [backup-simplify]: Simplify J into J
11.913 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.913 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.913 * [taylor]: Taking taylor expansion of U in U
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.913 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.914 * [taylor]: Taking taylor expansion of 1/2 in U
11.914 * [backup-simplify]: Simplify 1/2 into 1/2
11.914 * [taylor]: Taking taylor expansion of K in U
11.914 * [backup-simplify]: Simplify K into K
11.914 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.914 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.914 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.914 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.914 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.914 * [backup-simplify]: Simplify (- 0) into 0
11.914 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.914 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.915 * [backup-simplify]: Simplify (* 1 1) into 1
11.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.915 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.915 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.915 * [taylor]: Taking taylor expansion of 1 in U
11.915 * [backup-simplify]: Simplify 1 into 1
11.915 * [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)))
11.916 * [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)))
11.916 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.916 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.916 * [backup-simplify]: Simplify (+ 0) into 0
11.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.918 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.919 * [backup-simplify]: Simplify (- 0) into 0
11.919 * [backup-simplify]: Simplify (+ 0 0) into 0
11.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.921 * [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
11.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.922 * [backup-simplify]: Simplify (+ 0 0) into 0
11.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.922 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
11.922 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.922 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.922 * [taylor]: Taking taylor expansion of 1/2 in U
11.922 * [backup-simplify]: Simplify 1/2 into 1/2
11.922 * [taylor]: Taking taylor expansion of K in U
11.922 * [backup-simplify]: Simplify K into K
11.922 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.922 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.922 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.922 * [taylor]: Taking taylor expansion of J in U
11.922 * [backup-simplify]: Simplify J into J
11.922 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.922 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.923 * [backup-simplify]: Simplify (- 0) into 0
11.923 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.923 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
11.923 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
11.924 * [backup-simplify]: Simplify (* -2 1/2) into -1
11.924 * [taylor]: Taking taylor expansion of -1 in J
11.924 * [backup-simplify]: Simplify -1 into -1
11.924 * [backup-simplify]: Simplify (+ 0) into 0
11.925 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.925 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.925 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.926 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.926 * [backup-simplify]: Simplify (- 0) into 0
11.927 * [backup-simplify]: Simplify (+ 0 0) into 0
11.927 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
11.927 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
11.928 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
11.928 * [taylor]: Taking taylor expansion of 0 in J
11.928 * [backup-simplify]: Simplify 0 into 0
11.928 * [taylor]: Taking taylor expansion of -1 in K
11.928 * [backup-simplify]: Simplify -1 into -1
11.928 * [backup-simplify]: Simplify -1 into -1
11.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.931 * [backup-simplify]: Simplify (- 0) into 0
11.932 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
11.932 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.936 * [backup-simplify]: Simplify (- 0) into 0
11.936 * [backup-simplify]: Simplify (+ 0 0) into 0
11.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.939 * [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
11.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.941 * [backup-simplify]: Simplify (+ 0 1) into 1
11.941 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.942 * [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))
11.943 * [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))))
11.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
11.943 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
11.943 * [taylor]: Taking taylor expansion of 2 in J
11.943 * [backup-simplify]: Simplify 2 into 2
11.943 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
11.943 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.943 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.943 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.943 * [taylor]: Taking taylor expansion of 1/2 in J
11.943 * [backup-simplify]: Simplify 1/2 into 1/2
11.944 * [taylor]: Taking taylor expansion of K in J
11.944 * [backup-simplify]: Simplify K into K
11.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.944 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.944 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.944 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.944 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.944 * [backup-simplify]: Simplify (- 0) into 0
11.944 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.944 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.945 * [taylor]: Taking taylor expansion of J in J
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [backup-simplify]: Simplify 1 into 1
11.945 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.945 * [backup-simplify]: Simplify (* 1 1) into 1
11.945 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
11.946 * [backup-simplify]: Simplify (+ 0) into 0
11.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.948 * [backup-simplify]: Simplify (- 0) into 0
11.948 * [backup-simplify]: Simplify (+ 0 0) into 0
11.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.955 * [backup-simplify]: Simplify (- 0) into 0
11.955 * [taylor]: Taking taylor expansion of 0 in K
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.956 * [taylor]: Taking taylor expansion of 0 in K
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [taylor]: Taking taylor expansion of 0 in K
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify 0 into 0
11.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.960 * [backup-simplify]: Simplify (- 0) into 0
11.961 * [backup-simplify]: Simplify (+ 0 0) into 0
11.961 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
11.962 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.963 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.963 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.964 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.966 * [backup-simplify]: Simplify (- 0) into 0
11.967 * [backup-simplify]: Simplify (+ 0 0) into 0
11.967 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.970 * [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
11.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.972 * [backup-simplify]: Simplify (+ 0 0) into 0
11.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
11.973 * [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
11.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
11.974 * [taylor]: Taking taylor expansion of 0 in J
11.974 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.978 * [backup-simplify]: Simplify (- 0) into 0
11.978 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.982 * [backup-simplify]: Simplify (- 0) into 0
11.982 * [taylor]: Taking taylor expansion of 0 in K
11.982 * [backup-simplify]: Simplify 0 into 0
11.982 * [backup-simplify]: Simplify 0 into 0
11.982 * [taylor]: Taking taylor expansion of 0 in K
11.982 * [backup-simplify]: Simplify 0 into 0
11.982 * [backup-simplify]: Simplify 0 into 0
11.982 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
11.983 * [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))))))))
11.983 * [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
11.983 * [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
11.983 * [taylor]: Taking taylor expansion of 2 in K
11.983 * [backup-simplify]: Simplify 2 into 2
11.983 * [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
11.983 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
11.983 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.983 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.983 * [taylor]: Taking taylor expansion of -1/2 in K
11.983 * [backup-simplify]: Simplify -1/2 into -1/2
11.983 * [taylor]: Taking taylor expansion of K in K
11.983 * [backup-simplify]: Simplify 0 into 0
11.983 * [backup-simplify]: Simplify 1 into 1
11.984 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.984 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.984 * [taylor]: Taking taylor expansion of J in K
11.984 * [backup-simplify]: Simplify J into J
11.984 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
11.984 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.984 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.984 * [taylor]: Taking taylor expansion of 1 in K
11.984 * [backup-simplify]: Simplify 1 into 1
11.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.984 * [taylor]: Taking taylor expansion of 1/4 in K
11.984 * [backup-simplify]: Simplify 1/4 into 1/4
11.985 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.985 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.985 * [taylor]: Taking taylor expansion of J in K
11.985 * [backup-simplify]: Simplify J into J
11.985 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.985 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.985 * [taylor]: Taking taylor expansion of -1/2 in K
11.985 * [backup-simplify]: Simplify -1/2 into -1/2
11.985 * [taylor]: Taking taylor expansion of K in K
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 1 into 1
11.985 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.985 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.985 * [taylor]: Taking taylor expansion of U in K
11.985 * [backup-simplify]: Simplify U into U
11.985 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.986 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.986 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.986 * [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)))
11.986 * [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))))
11.987 * [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)))))
11.987 * [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))))))
11.987 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.987 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.987 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.988 * [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
11.989 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.989 * [backup-simplify]: Simplify (+ 0 0) into 0
11.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.990 * [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
11.990 * [taylor]: Taking taylor expansion of 2 in J
11.990 * [backup-simplify]: Simplify 2 into 2
11.990 * [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
11.990 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.990 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.990 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.990 * [taylor]: Taking taylor expansion of -1/2 in J
11.990 * [backup-simplify]: Simplify -1/2 into -1/2
11.990 * [taylor]: Taking taylor expansion of K in J
11.990 * [backup-simplify]: Simplify K into K
11.990 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.990 * [taylor]: Taking taylor expansion of J in J
11.990 * [backup-simplify]: Simplify 0 into 0
11.990 * [backup-simplify]: Simplify 1 into 1
11.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.991 * [backup-simplify]: Simplify (- 0) into 0
11.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.991 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.991 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.991 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.991 * [taylor]: Taking taylor expansion of 1 in J
11.991 * [backup-simplify]: Simplify 1 into 1
11.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.991 * [taylor]: Taking taylor expansion of 1/4 in J
11.991 * [backup-simplify]: Simplify 1/4 into 1/4
11.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.991 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.991 * [taylor]: Taking taylor expansion of J in J
11.991 * [backup-simplify]: Simplify 0 into 0
11.991 * [backup-simplify]: Simplify 1 into 1
11.991 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.991 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.991 * [taylor]: Taking taylor expansion of -1/2 in J
11.991 * [backup-simplify]: Simplify -1/2 into -1/2
11.991 * [taylor]: Taking taylor expansion of K in J
11.991 * [backup-simplify]: Simplify K into K
11.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.992 * [backup-simplify]: Simplify (- 0) into 0
11.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.992 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.992 * [taylor]: Taking taylor expansion of U in J
11.992 * [backup-simplify]: Simplify U into U
11.993 * [backup-simplify]: Simplify (* 1 1) into 1
11.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.993 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.993 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.993 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.994 * [backup-simplify]: Simplify (+ 1 0) into 1
11.994 * [backup-simplify]: Simplify (sqrt 1) into 1
11.994 * [backup-simplify]: Simplify (+ 0 0) into 0
11.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.995 * [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
11.995 * [taylor]: Taking taylor expansion of 2 in U
11.995 * [backup-simplify]: Simplify 2 into 2
11.995 * [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
11.995 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
11.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.995 * [taylor]: Taking taylor expansion of -1/2 in U
11.995 * [backup-simplify]: Simplify -1/2 into -1/2
11.995 * [taylor]: Taking taylor expansion of K in U
11.995 * [backup-simplify]: Simplify K into K
11.995 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.995 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.995 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.995 * [taylor]: Taking taylor expansion of J in U
11.995 * [backup-simplify]: Simplify J into J
11.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.996 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.996 * [backup-simplify]: Simplify (- 0) into 0
11.996 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.996 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
11.996 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.996 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.996 * [taylor]: Taking taylor expansion of 1 in U
11.996 * [backup-simplify]: Simplify 1 into 1
11.996 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.996 * [taylor]: Taking taylor expansion of 1/4 in U
11.996 * [backup-simplify]: Simplify 1/4 into 1/4
11.996 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.996 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.996 * [taylor]: Taking taylor expansion of J in U
11.996 * [backup-simplify]: Simplify J into J
11.996 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.997 * [taylor]: Taking taylor expansion of -1/2 in U
11.997 * [backup-simplify]: Simplify -1/2 into -1/2
11.997 * [taylor]: Taking taylor expansion of K in U
11.997 * [backup-simplify]: Simplify K into K
11.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.998 * [backup-simplify]: Simplify (- 0) into 0
11.998 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.998 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.998 * [taylor]: Taking taylor expansion of U in U
11.998 * [backup-simplify]: Simplify 0 into 0
11.998 * [backup-simplify]: Simplify 1 into 1
11.998 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.998 * [backup-simplify]: Simplify (* 1 1) into 1
11.998 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.999 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.999 * [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)))
11.999 * [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)))
11.999 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
12.000 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.001 * [backup-simplify]: Simplify (+ 0) into 0
12.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.003 * [backup-simplify]: Simplify (- 0) into 0
12.003 * [backup-simplify]: Simplify (+ 0 0) into 0
12.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.004 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.004 * [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
12.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.005 * [backup-simplify]: Simplify (+ 0 0) into 0
12.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.005 * [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
12.005 * [taylor]: Taking taylor expansion of 2 in U
12.005 * [backup-simplify]: Simplify 2 into 2
12.005 * [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
12.005 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
12.005 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.005 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.005 * [taylor]: Taking taylor expansion of -1/2 in U
12.005 * [backup-simplify]: Simplify -1/2 into -1/2
12.005 * [taylor]: Taking taylor expansion of K in U
12.006 * [backup-simplify]: Simplify K into K
12.006 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.006 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.006 * [taylor]: Taking taylor expansion of J in U
12.006 * [backup-simplify]: Simplify J into J
12.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.006 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.006 * [backup-simplify]: Simplify (- 0) into 0
12.006 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.006 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
12.007 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
12.007 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
12.007 * [taylor]: Taking taylor expansion of 1 in U
12.007 * [backup-simplify]: Simplify 1 into 1
12.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.007 * [taylor]: Taking taylor expansion of 1/4 in U
12.007 * [backup-simplify]: Simplify 1/4 into 1/4
12.007 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.007 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.007 * [taylor]: Taking taylor expansion of J in U
12.007 * [backup-simplify]: Simplify J into J
12.007 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.007 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.007 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.007 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.007 * [taylor]: Taking taylor expansion of -1/2 in U
12.007 * [backup-simplify]: Simplify -1/2 into -1/2
12.007 * [taylor]: Taking taylor expansion of K in U
12.007 * [backup-simplify]: Simplify K into K
12.007 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.007 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.007 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.007 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.008 * [backup-simplify]: Simplify (- 0) into 0
12.008 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.008 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.008 * [taylor]: Taking taylor expansion of U in U
12.008 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify 1 into 1
12.008 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.008 * [backup-simplify]: Simplify (* 1 1) into 1
12.009 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.009 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.009 * [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)))
12.009 * [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)))
12.009 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
12.009 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.010 * [backup-simplify]: Simplify (+ 0) into 0
12.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.013 * [backup-simplify]: Simplify (- 0) into 0
12.013 * [backup-simplify]: Simplify (+ 0 0) into 0
12.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.014 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.014 * [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
12.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.015 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
12.016 * [backup-simplify]: Simplify (* 2 1/2) into 1
12.016 * [taylor]: Taking taylor expansion of 1 in J
12.016 * [backup-simplify]: Simplify 1 into 1
12.016 * [backup-simplify]: Simplify (+ 0) into 0
12.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.017 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.018 * [backup-simplify]: Simplify (- 0) into 0
12.019 * [backup-simplify]: Simplify (+ 0 0) into 0
12.019 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
12.019 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
12.020 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
12.020 * [taylor]: Taking taylor expansion of 0 in J
12.020 * [backup-simplify]: Simplify 0 into 0
12.020 * [taylor]: Taking taylor expansion of 1 in K
12.020 * [backup-simplify]: Simplify 1 into 1
12.020 * [backup-simplify]: Simplify 1 into 1
12.020 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
12.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.025 * [backup-simplify]: Simplify (- 0) into 0
12.025 * [backup-simplify]: Simplify (+ 0 0) into 0
12.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
12.026 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.027 * [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
12.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
12.028 * [backup-simplify]: Simplify (+ 1 0) into 1
12.029 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
12.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.033 * [backup-simplify]: Simplify (- 0) into 0
12.033 * [backup-simplify]: Simplify (+ 0 0) into 0
12.033 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
12.034 * [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))
12.035 * [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)))
12.035 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
12.035 * [taylor]: Taking taylor expansion of 2 in J
12.035 * [backup-simplify]: Simplify 2 into 2
12.035 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
12.035 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.036 * [taylor]: Taking taylor expansion of -1/2 in J
12.036 * [backup-simplify]: Simplify -1/2 into -1/2
12.036 * [taylor]: Taking taylor expansion of K in J
12.036 * [backup-simplify]: Simplify K into K
12.036 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.036 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.036 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.036 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.036 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.036 * [backup-simplify]: Simplify (- 0) into 0
12.036 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.037 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.037 * [taylor]: Taking taylor expansion of J in J
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.037 * [backup-simplify]: Simplify (* 1 1) into 1
12.037 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.038 * [backup-simplify]: Simplify (+ 0) into 0
12.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.038 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.040 * [backup-simplify]: Simplify (- 0) into 0
12.040 * [backup-simplify]: Simplify (+ 0 0) into 0
12.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
12.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
12.043 * [taylor]: Taking taylor expansion of 0 in K
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [taylor]: Taking taylor expansion of 0 in K
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [taylor]: Taking taylor expansion of 0 in K
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
12.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.047 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.049 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.049 * [backup-simplify]: Simplify (- 0) into 0
12.050 * [backup-simplify]: Simplify (+ 0 0) into 0
12.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
12.051 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.052 * [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
12.054 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
12.055 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.056 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.059 * [backup-simplify]: Simplify (- 0) into 0
12.059 * [backup-simplify]: Simplify (+ 0 0) into 0
12.059 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
12.060 * [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
12.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
12.061 * [taylor]: Taking taylor expansion of 0 in J
12.061 * [backup-simplify]: Simplify 0 into 0
12.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.065 * [backup-simplify]: Simplify (- 0) into 0
12.065 * [backup-simplify]: Simplify (+ 0 0) into 0
12.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
12.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
12.069 * [taylor]: Taking taylor expansion of 0 in K
12.069 * [backup-simplify]: Simplify 0 into 0
12.069 * [backup-simplify]: Simplify 0 into 0
12.069 * [taylor]: Taking taylor expansion of 0 in K
12.069 * [backup-simplify]: Simplify 0 into 0
12.069 * [backup-simplify]: Simplify 0 into 0
12.070 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
12.070 * * * [progress]: simplifying candidates
12.070 * * * * [progress]: [ 1 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 2 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 3 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 4 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 5 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 6 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 7 / 83 ] 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))))))>
12.070 * * * * [progress]: [ 8 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 9 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 10 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 11 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 12 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 13 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 14 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 15 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 16 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 17 / 83 ] 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))))))>
12.071 * * * * [progress]: [ 18 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 19 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 20 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 21 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 22 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 23 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 24 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 25 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 26 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 27 / 83 ] 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))))))>
12.072 * * * * [progress]: [ 28 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 29 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 30 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 31 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 32 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 33 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 34 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 35 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 36 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 37 / 83 ] 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))))))>
12.073 * * * * [progress]: [ 38 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 39 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 40 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 41 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 42 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 43 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 44 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 45 / 83 ] 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))))))>
12.074 * * * * [progress]: [ 46 / 83 ] 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))))>
12.074 * * * * [progress]: [ 47 / 83 ] 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))))>
12.074 * * * * [progress]: [ 48 / 83 ] 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))))>
12.074 * * * * [progress]: [ 49 / 83 ] 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))))>
12.075 * * * * [progress]: [ 50 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 51 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 52 / 83 ] 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)) (* -2 J))))))))>
12.075 * * * * [progress]: [ 53 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 54 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 55 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 56 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 57 / 83 ] 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)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))))>
12.075 * * * * [progress]: [ 58 / 83 ] 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))))))))>
12.075 * * * * [progress]: [ 59 / 83 ] 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))))))))>
12.076 * * * * [progress]: [ 60 / 83 ] 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))))))))>
12.076 * * * * [progress]: [ 61 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 62 / 83 ] 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)))))>
12.076 * * * * [progress]: [ 63 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 64 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 65 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 66 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 67 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 68 / 83 ] 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)))))))>
12.076 * * * * [progress]: [ 69 / 83 ] 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))))))))>
12.076 * * * * [progress]: [ 70 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 71 / 83 ] 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 (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
12.077 * * * * [progress]: [ 72 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 73 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 74 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 75 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 76 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 77 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 78 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 79 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 80 / 83 ] 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))))))>
12.077 * * * * [progress]: [ 81 / 83 ] 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)))))))>
12.077 * * * * [progress]: [ 82 / 83 ] 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))))>
12.078 * * * * [progress]: [ 83 / 83 ] 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))))>
12.079 * [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)))
  (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))))
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  (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)
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  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
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  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
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  (* (* (* (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))))
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  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))
  (* (cbrt (sqrt (+ (* (/ 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))))) 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 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 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)))
  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)
12.083 * * [simplify]: iteration 1: (100 enodes)
12.109 * * [simplify]: iteration 2: (245 enodes)
12.248 * * [simplify]: iteration 3: (860 enodes)
13.403 * * [simplify]: Extracting #0: cost 31 inf + 0
13.404 * * [simplify]: Extracting #1: cost 370 inf + 2
13.410 * * [simplify]: Extracting #2: cost 1041 inf + 527
13.422 * * [simplify]: Extracting #3: cost 1284 inf + 10863
13.438 * * [simplify]: Extracting #4: cost 1381 inf + 16439
13.461 * * [simplify]: Extracting #5: cost 1295 inf + 33070
13.496 * * [simplify]: Extracting #6: cost 780 inf + 194423
13.655 * * [simplify]: Extracting #7: cost 259 inf + 428402
13.866 * * [simplify]: Extracting #8: cost 4 inf + 564868
14.095 * * [simplify]: Extracting #9: cost 0 inf + 567007
14.346 * [simplify]: Simplified to:
  (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)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (fabs (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)))
  1
  (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (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))) (/ (/ (/ 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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ 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))
  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)))
  (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)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (fabs (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)))
  1
  (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (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))) (/ (/ (/ 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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ 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))
  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)))
  (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)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (fabs (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)))
  1
  (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))
  (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))) (/ (/ (/ 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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ 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))
  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)))
  (* (* (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)))
  (log (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (log (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (log (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (log (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (exp (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* -2 J)))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))
  (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* -2 J)))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))
  (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* -2 J)))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))
  (* (cbrt (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))
  (cbrt (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* -2 J)))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))
  (sqrt (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))
  (sqrt (* (* (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)) (cos (/ K 2)))
  (* (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* -2 J)) (cos (/ K 2)))
  (* (* (cos (/ K 2)) (* -2 J)) (sqrt (cbrt (+ (* (/ (/ (/ 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 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)))
  (* (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))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (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))))))) (* (cos (/ K 2)) (* -2 J)))
  1
  (/ (* (/ 1/2 J) U) (cos (* K 1/2)))
  (/ (* (/ 1/2 J) U) (cos (* K 1/2)))
  1
  (/ (* (/ 1/2 J) U) (cos (* K 1/2)))
  (/ (* (/ 1/2 J) U) (cos (* K 1/2)))
  1
  (/ (* (/ 1/2 J) U) (cos (* K 1/2)))
  (/ (* (/ 1/2 J) U) (cos (* K 1/2)))
  (- (* -2 J) (* (* (/ U J) U) 1/4))
  (- U)
  (- U)
14.375 * * * [progress]: adding candidates to table
15.892 * * [progress]: iteration 4 / 4
15.892 * * * [progress]: picking best candidate
15.903 * * * * [pick]: Picked  #<alt (λ (J K U) (* 1 (* (cos (/ K 2)) (* -2 J))))>
15.903 * * * [progress]: localizing error
15.921 * * * [progress]: generating rewritten candidates
15.921 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2)
15.938 * * * [progress]: generating series expansions
15.938 * * * * [progress]: [ 1 / 1 ] generating series at (2 2)
15.938 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J))
15.938 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0
15.938 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
15.938 * [taylor]: Taking taylor expansion of -2 in J
15.938 * [backup-simplify]: Simplify -2 into -2
15.938 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
15.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
15.938 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
15.938 * [taylor]: Taking taylor expansion of 1/2 in J
15.938 * [backup-simplify]: Simplify 1/2 into 1/2
15.938 * [taylor]: Taking taylor expansion of K in J
15.938 * [backup-simplify]: Simplify K into K
15.938 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.938 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.938 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.938 * [taylor]: Taking taylor expansion of J in J
15.938 * [backup-simplify]: Simplify 0 into 0
15.938 * [backup-simplify]: Simplify 1 into 1
15.938 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
15.938 * [taylor]: Taking taylor expansion of -2 in K
15.938 * [backup-simplify]: Simplify -2 into -2
15.938 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
15.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.938 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.938 * [taylor]: Taking taylor expansion of 1/2 in K
15.938 * [backup-simplify]: Simplify 1/2 into 1/2
15.938 * [taylor]: Taking taylor expansion of K in K
15.938 * [backup-simplify]: Simplify 0 into 0
15.939 * [backup-simplify]: Simplify 1 into 1
15.939 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.940 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.940 * [taylor]: Taking taylor expansion of J in K
15.940 * [backup-simplify]: Simplify J into J
15.940 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
15.940 * [taylor]: Taking taylor expansion of -2 in K
15.940 * [backup-simplify]: Simplify -2 into -2
15.940 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
15.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.940 * [taylor]: Taking taylor expansion of 1/2 in K
15.940 * [backup-simplify]: Simplify 1/2 into 1/2
15.940 * [taylor]: Taking taylor expansion of K in K
15.940 * [backup-simplify]: Simplify 0 into 0
15.940 * [backup-simplify]: Simplify 1 into 1
15.940 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.940 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.941 * [taylor]: Taking taylor expansion of J in K
15.941 * [backup-simplify]: Simplify J into J
15.941 * [backup-simplify]: Simplify (* 1 J) into J
15.941 * [backup-simplify]: Simplify (* -2 J) into (* -2 J)
15.941 * [taylor]: Taking taylor expansion of (* -2 J) in J
15.941 * [taylor]: Taking taylor expansion of -2 in J
15.941 * [backup-simplify]: Simplify -2 into -2
15.941 * [taylor]: Taking taylor expansion of J in J
15.941 * [backup-simplify]: Simplify 0 into 0
15.941 * [backup-simplify]: Simplify 1 into 1
15.941 * [backup-simplify]: Simplify (* -2 0) into 0
15.941 * [backup-simplify]: Simplify 0 into 0
15.941 * [backup-simplify]: Simplify (+ 0) into 0
15.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
15.942 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0
15.942 * [taylor]: Taking taylor expansion of 0 in J
15.942 * [backup-simplify]: Simplify 0 into 0
15.942 * [backup-simplify]: Simplify 0 into 0
15.942 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
15.942 * [backup-simplify]: Simplify -2 into -2
15.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
15.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
15.944 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J)
15.944 * [taylor]: Taking taylor expansion of (* 1/4 J) in J
15.944 * [taylor]: Taking taylor expansion of 1/4 in J
15.944 * [backup-simplify]: Simplify 1/4 into 1/4
15.944 * [taylor]: Taking taylor expansion of J in J
15.944 * [backup-simplify]: Simplify 0 into 0
15.944 * [backup-simplify]: Simplify 1 into 1
15.944 * [backup-simplify]: Simplify (* 1/4 0) into 0
15.944 * [backup-simplify]: Simplify 0 into 0
15.944 * [backup-simplify]: Simplify 0 into 0
15.945 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
15.945 * [backup-simplify]: Simplify 0 into 0
15.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
15.946 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
15.948 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0
15.948 * [taylor]: Taking taylor expansion of 0 in J
15.948 * [backup-simplify]: Simplify 0 into 0
15.948 * [backup-simplify]: Simplify 0 into 0
15.948 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4
15.948 * [backup-simplify]: Simplify 1/4 into 1/4
15.948 * [backup-simplify]: Simplify 0 into 0
15.949 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
15.949 * [backup-simplify]: Simplify 0 into 0
15.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
15.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
15.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J)
15.956 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J))
15.956 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J
15.956 * [taylor]: Taking taylor expansion of (* 1/192 J) in J
15.956 * [taylor]: Taking taylor expansion of 1/192 in J
15.956 * [backup-simplify]: Simplify 1/192 into 1/192
15.956 * [taylor]: Taking taylor expansion of J in J
15.956 * [backup-simplify]: Simplify 0 into 0
15.956 * [backup-simplify]: Simplify 1 into 1
15.956 * [backup-simplify]: Simplify (* 1/192 0) into 0
15.957 * [backup-simplify]: Simplify (- 0) into 0
15.957 * [backup-simplify]: Simplify 0 into 0
15.957 * [backup-simplify]: Simplify 0 into 0
15.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0
15.958 * [backup-simplify]: Simplify 0 into 0
15.958 * [backup-simplify]: Simplify 0 into 0
15.958 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J))
15.958 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J))
15.958 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0
15.958 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
15.958 * [taylor]: Taking taylor expansion of -2 in J
15.958 * [backup-simplify]: Simplify -2 into -2
15.958 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
15.959 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.959 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.959 * [taylor]: Taking taylor expansion of 1/2 in J
15.959 * [backup-simplify]: Simplify 1/2 into 1/2
15.959 * [taylor]: Taking taylor expansion of K in J
15.959 * [backup-simplify]: Simplify K into K
15.959 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.959 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.959 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.959 * [taylor]: Taking taylor expansion of J in J
15.959 * [backup-simplify]: Simplify 0 into 0
15.959 * [backup-simplify]: Simplify 1 into 1
15.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.959 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.959 * [backup-simplify]: Simplify (- 0) into 0
15.960 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.960 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.960 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K
15.960 * [taylor]: Taking taylor expansion of -2 in K
15.960 * [backup-simplify]: Simplify -2 into -2
15.960 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
15.960 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.960 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.960 * [taylor]: Taking taylor expansion of 1/2 in K
15.960 * [backup-simplify]: Simplify 1/2 into 1/2
15.960 * [taylor]: Taking taylor expansion of K in K
15.960 * [backup-simplify]: Simplify 0 into 0
15.960 * [backup-simplify]: Simplify 1 into 1
15.960 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.960 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.960 * [taylor]: Taking taylor expansion of J in K
15.961 * [backup-simplify]: Simplify J into J
15.961 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
15.961 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K
15.961 * [taylor]: Taking taylor expansion of -2 in K
15.961 * [backup-simplify]: Simplify -2 into -2
15.961 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
15.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.961 * [taylor]: Taking taylor expansion of 1/2 in K
15.961 * [backup-simplify]: Simplify 1/2 into 1/2
15.961 * [taylor]: Taking taylor expansion of K in K
15.961 * [backup-simplify]: Simplify 0 into 0
15.961 * [backup-simplify]: Simplify 1 into 1
15.961 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.961 * [taylor]: Taking taylor expansion of J in K
15.961 * [backup-simplify]: Simplify J into J
15.962 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
15.962 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J))
15.962 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
15.962 * [taylor]: Taking taylor expansion of -2 in J
15.962 * [backup-simplify]: Simplify -2 into -2
15.962 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
15.962 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.962 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.962 * [taylor]: Taking taylor expansion of 1/2 in J
15.962 * [backup-simplify]: Simplify 1/2 into 1/2
15.962 * [taylor]: Taking taylor expansion of K in J
15.962 * [backup-simplify]: Simplify K into K
15.962 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.962 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.962 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.962 * [taylor]: Taking taylor expansion of J in J
15.962 * [backup-simplify]: Simplify 0 into 0
15.962 * [backup-simplify]: Simplify 1 into 1
15.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.962 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.963 * [backup-simplify]: Simplify (- 0) into 0
15.963 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.963 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.963 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
15.963 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
15.963 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
15.964 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
15.964 * [taylor]: Taking taylor expansion of 0 in J
15.964 * [backup-simplify]: Simplify 0 into 0
15.964 * [backup-simplify]: Simplify (+ 0) into 0
15.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.966 * [backup-simplify]: Simplify (- 0) into 0
15.967 * [backup-simplify]: Simplify (+ 0 0) into 0
15.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
15.969 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
15.969 * [backup-simplify]: Simplify 0 into 0
15.969 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
15.970 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0
15.970 * [taylor]: Taking taylor expansion of 0 in J
15.970 * [backup-simplify]: Simplify 0 into 0
15.970 * [backup-simplify]: Simplify 0 into 0
15.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.972 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.972 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.973 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.974 * [backup-simplify]: Simplify (- 0) into 0
15.974 * [backup-simplify]: Simplify (+ 0 0) into 0
15.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.976 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
15.976 * [backup-simplify]: Simplify 0 into 0
15.976 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
15.978 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
15.978 * [taylor]: Taking taylor expansion of 0 in J
15.978 * [backup-simplify]: Simplify 0 into 0
15.978 * [backup-simplify]: Simplify 0 into 0
15.978 * [backup-simplify]: Simplify 0 into 0
15.979 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.979 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.981 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.982 * [backup-simplify]: Simplify (- 0) into 0
15.982 * [backup-simplify]: Simplify (+ 0 0) into 0
15.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.985 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
15.985 * [backup-simplify]: Simplify 0 into 0
15.985 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J))
15.986 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J))
15.986 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0
15.986 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J
15.986 * [taylor]: Taking taylor expansion of 2 in J
15.986 * [backup-simplify]: Simplify 2 into 2
15.986 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
15.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.986 * [taylor]: Taking taylor expansion of -1/2 in J
15.986 * [backup-simplify]: Simplify -1/2 into -1/2
15.986 * [taylor]: Taking taylor expansion of K in J
15.986 * [backup-simplify]: Simplify K into K
15.986 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.986 * [taylor]: Taking taylor expansion of J in J
15.986 * [backup-simplify]: Simplify 0 into 0
15.986 * [backup-simplify]: Simplify 1 into 1
15.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.986 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.987 * [backup-simplify]: Simplify (- 0) into 0
15.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.987 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.987 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K
15.987 * [taylor]: Taking taylor expansion of 2 in K
15.987 * [backup-simplify]: Simplify 2 into 2
15.987 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
15.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.987 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.987 * [taylor]: Taking taylor expansion of -1/2 in K
15.987 * [backup-simplify]: Simplify -1/2 into -1/2
15.987 * [taylor]: Taking taylor expansion of K in K
15.987 * [backup-simplify]: Simplify 0 into 0
15.987 * [backup-simplify]: Simplify 1 into 1
15.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.987 * [taylor]: Taking taylor expansion of J in K
15.987 * [backup-simplify]: Simplify J into J
15.988 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
15.988 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K
15.988 * [taylor]: Taking taylor expansion of 2 in K
15.988 * [backup-simplify]: Simplify 2 into 2
15.988 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
15.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.988 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.988 * [taylor]: Taking taylor expansion of -1/2 in K
15.988 * [backup-simplify]: Simplify -1/2 into -1/2
15.988 * [taylor]: Taking taylor expansion of K in K
15.988 * [backup-simplify]: Simplify 0 into 0
15.988 * [backup-simplify]: Simplify 1 into 1
15.988 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.988 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.988 * [taylor]: Taking taylor expansion of J in K
15.988 * [backup-simplify]: Simplify J into J
15.988 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
15.989 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J))
15.989 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J
15.989 * [taylor]: Taking taylor expansion of 2 in J
15.989 * [backup-simplify]: Simplify 2 into 2
15.989 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
15.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.989 * [taylor]: Taking taylor expansion of -1/2 in J
15.989 * [backup-simplify]: Simplify -1/2 into -1/2
15.989 * [taylor]: Taking taylor expansion of K in J
15.989 * [backup-simplify]: Simplify K into K
15.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.989 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.989 * [taylor]: Taking taylor expansion of J in J
15.989 * [backup-simplify]: Simplify 0 into 0
15.989 * [backup-simplify]: Simplify 1 into 1
15.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.989 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.990 * [backup-simplify]: Simplify (- 0) into 0
15.990 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.990 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.990 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
15.990 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
15.990 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
15.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0
15.991 * [taylor]: Taking taylor expansion of 0 in J
15.991 * [backup-simplify]: Simplify 0 into 0
15.991 * [backup-simplify]: Simplify (+ 0) into 0
15.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.994 * [backup-simplify]: Simplify (- 0) into 0
15.995 * [backup-simplify]: Simplify (+ 0 0) into 0
15.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
15.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
15.996 * [backup-simplify]: Simplify 0 into 0
15.996 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
15.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0
15.997 * [taylor]: Taking taylor expansion of 0 in J
15.997 * [backup-simplify]: Simplify 0 into 0
15.997 * [backup-simplify]: Simplify 0 into 0
15.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
16.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
16.001 * [backup-simplify]: Simplify (- 0) into 0
16.002 * [backup-simplify]: Simplify (+ 0 0) into 0
16.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
16.004 * [backup-simplify]: Simplify 0 into 0
16.004 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
16.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0
16.006 * [taylor]: Taking taylor expansion of 0 in J
16.006 * [backup-simplify]: Simplify 0 into 0
16.006 * [backup-simplify]: Simplify 0 into 0
16.006 * [backup-simplify]: Simplify 0 into 0
16.007 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
16.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.010 * [backup-simplify]: Simplify (- 0) into 0
16.010 * [backup-simplify]: Simplify (+ 0 0) into 0
16.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
16.012 * [backup-simplify]: Simplify 0 into 0
16.012 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J))
16.012 * * * [progress]: simplifying candidates
16.012 * * * * [progress]: [ 1 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (pow (* (cos (/ K 2)) (* -2 J)) 1)))>
16.012 * * * * [progress]: [ 2 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (pow (* (cos (/ K 2)) (* -2 J)) 1)))>
16.012 * * * * [progress]: [ 3 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (pow (* (cos (/ K 2)) (* -2 J)) 1)))>
16.012 * * * * [progress]: [ 4 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (exp (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))>
16.012 * * * * [progress]: [ 5 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (exp (+ (log (cos (/ K 2))) (log (* -2 J))))))>
16.012 * * * * [progress]: [ 6 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (exp (log (* (cos (/ K 2)) (* -2 J))))))>
16.012 * * * * [progress]: [ 7 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (log (exp (* (cos (/ K 2)) (* -2 J))))))>
16.012 * * * * [progress]: [ 8 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))>
16.012 * * * * [progress]: [ 9 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))>
16.012 * * * * [progress]: [ 10 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cos (/ K 2)) (* -2 J))))))>
16.012 * * * * [progress]: [ 11 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (cbrt (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))>
16.012 * * * * [progress]: [ 12 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cos (/ K 2)) (* -2 J))))))>
16.013 * * * * [progress]: [ 13 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* 1 (* (cos (/ K 2)) (* -2 J)))))>
16.013 * * * * [progress]: [ 14 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (cos (/ K 2)) -2) J)))>
16.013 * * * * [progress]: [ 15 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))>
16.013 * * * * [progress]: [ 16 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>
16.013 * * * * [progress]: [ 17 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* 1 (* (cos (/ K 2)) (* -2 J)))))>
16.013 * * * * [progress]: [ 18 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* -2 J) (cos (/ K 2)))))>
16.013 * * * * [progress]: [ 19 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (- (* 1/4 (* (pow K 2) J)) (* 2 J))))>
16.013 * * * * [progress]: [ 20 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* -2 (* (cos (* 1/2 K)) J))))>
16.013 * * * * [progress]: [ 21 / 21 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* -2 (* (cos (* 1/2 K)) J))))>
16.013 * [simplify]: Simplifying:
  (* (cos (/ K 2)) (* -2 J))
  (* (cos (/ K 2)) (* -2 J))
  (+ (log (cos (/ K 2))) (+ (log -2) (log J)))
  (+ (log (cos (/ K 2))) (log (* -2 J)))
  (log (* (cos (/ K 2)) (* -2 J)))
  (exp (* (cos (/ K 2)) (* -2 J)))
  (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))
  (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))
  (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))
  (cbrt (* (cos (/ K 2)) (* -2 J)))
  (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))
  (sqrt (* (cos (/ K 2)) (* -2 J)))
  (sqrt (* (cos (/ K 2)) (* -2 J)))
  (* (cos (/ K 2)) -2)
  (* (cbrt (cos (/ K 2))) (* -2 J))
  (* (sqrt (cos (/ K 2))) (* -2 J))
  (* (cos (/ K 2)) (* -2 J))
  (- (* 1/4 (* (pow K 2) J)) (* 2 J))
  (* -2 (* (cos (* 1/2 K)) J))
  (* -2 (* (cos (* 1/2 K)) J))
16.013 * * [simplify]: iteration 1: (49 enodes)
16.023 * * [simplify]: iteration 2: (118 enodes)
16.056 * * [simplify]: iteration 3: (327 enodes)
16.269 * * [simplify]: iteration 4: (1288 enodes)
18.586 * * [simplify]: Extracting #0: cost 12 inf + 0
18.587 * * [simplify]: Extracting #1: cost 239 inf + 0
18.594 * * [simplify]: Extracting #2: cost 845 inf + 2015
18.611 * * [simplify]: Extracting #3: cost 598 inf + 38521
18.675 * * [simplify]: Extracting #4: cost 105 inf + 171570
18.721 * * [simplify]: Extracting #5: cost 4 inf + 202280
18.785 * * [simplify]: Extracting #6: cost 0 inf + 203011
18.874 * [simplify]: Simplified to:
  (* (cos (/ K 2)) (* -2 J))
  (* (cos (/ K 2)) (* -2 J))
  (log (* (cos (/ K 2)) (* -2 J)))
  (log (* (cos (/ K 2)) (* -2 J)))
  (log (* (cos (/ K 2)) (* -2 J)))
  (exp (* (cos (/ K 2)) (* -2 J)))
  (* -8 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (* -8 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))
  (cbrt (* (cos (/ K 2)) (* -2 J)))
  (* -8 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (sqrt (* (cos (/ K 2)) (* -2 J)))
  (sqrt (* (cos (/ K 2)) (* -2 J)))
  (* (cos (/ K 2)) -2)
  (* (cbrt (cos (/ K 2))) (* -2 J))
  (* (sqrt (cos (/ K 2))) (* -2 J))
  (* (cos (/ K 2)) (* -2 J))
  (* J (+ (* K (* 1/4 K)) -2))
  (* (cos (* K 1/2)) (* -2 J))
  (* (cos (* K 1/2)) (* -2 J))
18.876 * * * [progress]: adding candidates to table
19.149 * [progress]: [Phase 3 of 3] Extracting.
19.149 * * [regime]: Finding splitpoints for: (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
19.153 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J)
19.153 * * * * [regimes]: Trying to branch on (/ K 2) from (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
19.213 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
19.317 * * * * [regimes]: Trying to branch on U from (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
19.405 * * * * [regimes]: Trying to branch on K from (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
19.480 * * * * [regimes]: Trying to branch on J from (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
19.625 * * * [regime]: Found split indices: #<option (#s(si 0 107) #s(si 5 152) #s(si 0 163) #s(si 5 171) #s(si 0 255))>
19.626 * [binary-search]: Improving bounds with binary search for J and (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
20.430 * [regimes]: Found splitpoints: (#s(sp 0 J -3.995143407100309e-199) #s(sp 5 J 3.946305958295406e-203) #s(sp 0 J 6.061443602231617e-146) #s(sp 5 J 6.953802795616913e-122) #s(sp 0 J +nan.0)) , with alts (#<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) (* (* (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 (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))> #<alt (λ (J K U) (* 1 (* J (+ (* K (* 1/4 K)) -2))))> #<alt (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (+ (* (/ (/ (/ 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)) (* J (* (* J J) -8)))))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (+ (* (/ (* U U) J) -1/4) (* -2 J)))> #<alt (λ (J K U) (* 1 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> #<alt (λ (J K U) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))>)
20.430 * [simplify]: Simplifying:
  (if (<= J -3.995143407100309e-199) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (if (<= J 3.946305958295406e-203) (- U) (if (<= J 6.061443602231617e-146) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (if (<= J 6.953802795616913e-122) (- U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))
20.430 * * [simplify]: iteration 1: (30 enodes)
20.432 * * [simplify]: iteration 2: (39 enodes)
20.433 * * [simplify]: iteration 3: (42 enodes)
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29.253 * * [simplify]: Extracting #0: cost 1 inf + 0
29.253 * * [simplify]: Extracting #1: cost 6 inf + 0
29.253 * * [simplify]: Extracting #2: cost 15 inf + 0
29.254 * * [simplify]: Extracting #3: cost 411 inf + 3
29.256 * * [simplify]: Extracting #4: cost 415 inf + 311
29.259 * * [simplify]: Extracting #5: cost 415 inf + 381
29.262 * * [simplify]: Extracting #6: cost 389 inf + 5386
29.286 * * [simplify]: Extracting #7: cost 18 inf + 99576
29.327 * * [simplify]: Extracting #8: cost 1 inf + 106073
29.371 * * [simplify]: Extracting #9: cost 0 inf + 107048
29.402 * * [simplify]: Extracting #10: cost 0 inf + 107003
29.430 * [simplify]: Simplified to:
  (if (<= J -3.995143407100309e-199) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J))) (if (<= J 3.946305958295406e-203) (- U) (if (<= J 6.061443602231617e-146) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J))) (if (<= J 6.953802795616913e-122) (- U) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J)))))))
35.986 * [regime-testing]: Baseline error score: 17.90462225471528
35.988 * [regime-testing]: Oracle error score: 8.837113648946127
35.994 * [regime-testing]: End program error score: 16.788663838804712